1,1,254,0,0.652353," ","integrate(tanh(b*x+a)^6,x, algorithm=""fricas"")","\frac{{\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{5} + 5 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} - 23 \, \sinh\left(b x + a\right)^{5} + 5 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{3} - 5 \, {\left(46 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{3} + 5 \, {\left(2 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 10 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right) - 5 \, {\left(23 \, \cosh\left(b x + a\right)^{4} + 15 \, \cosh\left(b x + a\right)^{2} + 10\right)} \sinh\left(b x + a\right)}{15 \, {\left(b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 5 \, b \cosh\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)\right)}}"," ",0,"1/15*((15*b*x + 23)*cosh(b*x + a)^5 + 5*(15*b*x + 23)*cosh(b*x + a)*sinh(b*x + a)^4 - 23*sinh(b*x + a)^5 + 5*(15*b*x + 23)*cosh(b*x + a)^3 - 5*(46*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^3 + 5*(2*(15*b*x + 23)*cosh(b*x + a)^3 + 3*(15*b*x + 23)*cosh(b*x + a))*sinh(b*x + a)^2 + 10*(15*b*x + 23)*cosh(b*x + a) - 5*(23*cosh(b*x + a)^4 + 15*cosh(b*x + a)^2 + 10)*sinh(b*x + a))/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + 5*b*cosh(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))","B",0
2,1,968,0,0.630846," ","integrate(tanh(b*x+a)^5,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{8} + 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} + 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{2} + b x - 1\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{3} + 3 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(3 \, b x - 2\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} + 30 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x - 2\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} + 10 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(3 \, b x - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} + 15 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(3 \, b x - 2\right)} \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)^{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) + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} + 3 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{5} + {\left(3 \, b x - 2\right)} \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)^{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,"-(b*x*cosh(b*x + a)^8 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 + 4*(b*x - 1)*cosh(b*x + a)^6 + 4*(7*b*x*cosh(b*x + a)^2 + b*x - 1)*sinh(b*x + a)^6 + 8*(7*b*x*cosh(b*x + a)^3 + 3*(b*x - 1)*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(3*b*x - 2)*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 + 30*(b*x - 1)*cosh(b*x + a)^2 + 3*b*x - 2)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 + 10*(b*x - 1)*cosh(b*x + a)^3 + (3*b*x - 2)*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(b*x - 1)*cosh(b*x + a)^2 + 4*(7*b*x*cosh(b*x + a)^6 + 15*(b*x - 1)*cosh(b*x + a)^4 + 3*(3*b*x - 2)*cosh(b*x + a)^2 + b*x - 1)*sinh(b*x + a)^2 + b*x - (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))) + 8*(b*x*cosh(b*x + a)^7 + 3*(b*x - 1)*cosh(b*x + a)^5 + (3*b*x - 2)*cosh(b*x + a)^3 + (b*x - 1)*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
3,1,119,0,0.506875," ","integrate(tanh(b*x+a)^4,x, algorithm=""fricas"")","\frac{{\left(3 \, b x + 4\right)} \cosh\left(b x + a\right)^{3} + 3 \, {\left(3 \, b x + 4\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} - 12 \, \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) - 4 \, \sinh\left(b x + a\right)^{3} + 3 \, {\left(3 \, b x + 4\right)} \cosh\left(b x + a\right)}{3 \, {\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,"1/3*((3*b*x + 4)*cosh(b*x + a)^3 + 3*(3*b*x + 4)*cosh(b*x + a)*sinh(b*x + a)^2 - 12*cosh(b*x + a)^2*sinh(b*x + a) - 4*sinh(b*x + a)^3 + 3*(3*b*x + 4)*cosh(b*x + a))/(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
4,1,339,0,0.527264," ","integrate(tanh(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
5,1,33,0,0.522200," ","integrate(tanh(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
6,1,37,0,0.564913," ","integrate(tanh(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
7,1,37,0,0.474150," ","integrate(coth(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
8,1,33,0,0.639543," ","integrate(coth(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
9,1,346,0,0.461237," ","integrate(coth(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
10,1,108,0,0.488703," ","integrate(coth(b*x+a)^4,x, algorithm=""fricas"")","\frac{{\left(3 \, b x + 4\right)} \sinh\left(b x + a\right)^{3} - 4 \, \cosh\left(b x + a\right)^{3} - 12 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 3 \, {\left({\left(3 \, b x + 4\right)} \cosh\left(b x + a\right)^{2} - 3 \, b x - 4\right)} \sinh\left(b x + a\right)}{3 \, {\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,"1/3*((3*b*x + 4)*sinh(b*x + a)^3 - 4*cosh(b*x + a)^3 - 12*cosh(b*x + a)*sinh(b*x + a)^2 + 3*((3*b*x + 4)*cosh(b*x + a)^2 - 3*b*x - 4)*sinh(b*x + a))/(b*sinh(b*x + a)^3 + 3*(b*cosh(b*x + a)^2 - b)*sinh(b*x + a))","B",0
11,1,978,0,0.554155," ","integrate(coth(b*x+a)^5,x, algorithm=""fricas"")","-\frac{b x \cosh\left(b x + a\right)^{8} + 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} - 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{2} - b x + 1\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{3} - 3 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(3 \, b x - 2\right)} \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b x \cosh\left(b x + a\right)^{4} - 30 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 3 \, b x - 2\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b x \cosh\left(b x + a\right)^{5} - 10 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{3} + {\left(3 \, b x - 2\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b x \cosh\left(b x + a\right)^{6} - 15 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{4} + 3 \, {\left(3 \, b x - 2\right)} \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)^{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) + 8 \, {\left(b x \cosh\left(b x + a\right)^{7} - 3 \, {\left(b x - 1\right)} \cosh\left(b x + a\right)^{5} + {\left(3 \, b x - 2\right)} \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)^{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,"-(b*x*cosh(b*x + a)^8 + 8*b*x*cosh(b*x + a)*sinh(b*x + a)^7 + b*x*sinh(b*x + a)^8 - 4*(b*x - 1)*cosh(b*x + a)^6 + 4*(7*b*x*cosh(b*x + a)^2 - b*x + 1)*sinh(b*x + a)^6 + 8*(7*b*x*cosh(b*x + a)^3 - 3*(b*x - 1)*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(3*b*x - 2)*cosh(b*x + a)^4 + 2*(35*b*x*cosh(b*x + a)^4 - 30*(b*x - 1)*cosh(b*x + a)^2 + 3*b*x - 2)*sinh(b*x + a)^4 + 8*(7*b*x*cosh(b*x + a)^5 - 10*(b*x - 1)*cosh(b*x + a)^3 + (3*b*x - 2)*cosh(b*x + a))*sinh(b*x + a)^3 - 4*(b*x - 1)*cosh(b*x + a)^2 + 4*(7*b*x*cosh(b*x + a)^6 - 15*(b*x - 1)*cosh(b*x + a)^4 + 3*(3*b*x - 2)*cosh(b*x + a)^2 - b*x + 1)*sinh(b*x + a)^2 + b*x - (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))) + 8*(b*x*cosh(b*x + a)^7 - 3*(b*x - 1)*cosh(b*x + a)^5 + (3*b*x - 2)*cosh(b*x + a)^3 - (b*x - 1)*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
12,1,239,0,0.529924," ","integrate(coth(b*x+a)^6,x, algorithm=""fricas"")","\frac{{\left(15 \, b x + 23\right)} \sinh\left(b x + a\right)^{5} - 23 \, \cosh\left(b x + a\right)^{5} - 115 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + 5 \, {\left(2 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{2} - 15 \, b x - 23\right)} \sinh\left(b x + a\right)^{3} + 25 \, \cosh\left(b x + a\right)^{3} - 5 \, {\left(46 \, \cosh\left(b x + a\right)^{3} - 15 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 5 \, {\left({\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{4} - 3 \, {\left(15 \, b x + 23\right)} \cosh\left(b x + a\right)^{2} + 30 \, b x + 46\right)} \sinh\left(b x + a\right) - 50 \, \cosh\left(b x + a\right)}{15 \, {\left(b \sinh\left(b x + a\right)^{5} + 5 \, {\left(2 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{3} + 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)\right)}}"," ",0,"1/15*((15*b*x + 23)*sinh(b*x + a)^5 - 23*cosh(b*x + a)^5 - 115*cosh(b*x + a)*sinh(b*x + a)^4 + 5*(2*(15*b*x + 23)*cosh(b*x + a)^2 - 15*b*x - 23)*sinh(b*x + a)^3 + 25*cosh(b*x + a)^3 - 5*(46*cosh(b*x + a)^3 - 15*cosh(b*x + a))*sinh(b*x + a)^2 + 5*((15*b*x + 23)*cosh(b*x + a)^4 - 3*(15*b*x + 23)*cosh(b*x + a)^2 + 30*b*x + 46)*sinh(b*x + a) - 50*cosh(b*x + a))/(b*sinh(b*x + a)^5 + 5*(2*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^3 + 5*(b*cosh(b*x + a)^4 - 3*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a))","B",0
13,1,1556,0,0.906098," ","integrate((b*tanh(d*x+c))^(7/2),x, algorithm=""fricas"")","\left[-\frac{10 \, {\left(b^{3} \cosh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} \sinh\left(d x + c\right)^{4} + 2 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} \cosh\left(d x + c\right)^{3} + b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - 5 \, {\left(b^{3} \cosh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} \sinh\left(d x + c\right)^{4} + 2 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} \cosh\left(d x + c\right)^{3} + b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 16 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{4} + 12 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 3 \, b^{3} \sinh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right)^{2} + 3 \, b^{3} + 2 \, {\left(9 \, b^{3} \cosh\left(d x + c\right)^{2} + 2 \, b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{3} + 2 \, b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{20 \, {\left(d \cosh\left(d x + c\right)^{4} + 4 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{4} + 2 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}, -\frac{10 \, {\left(b^{3} \cosh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} \sinh\left(d x + c\right)^{4} + 2 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} \cosh\left(d x + c\right)^{3} + b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - 5 \, {\left(b^{3} \cosh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} \sinh\left(d x + c\right)^{4} + 2 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{2} + b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} \cosh\left(d x + c\right)^{3} + b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) + 16 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{4} + 12 \, b^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 3 \, b^{3} \sinh\left(d x + c\right)^{4} + 4 \, b^{3} \cosh\left(d x + c\right)^{2} + 3 \, b^{3} + 2 \, {\left(9 \, b^{3} \cosh\left(d x + c\right)^{2} + 2 \, b^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(3 \, b^{3} \cosh\left(d x + c\right)^{3} + 2 \, b^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{20 \, {\left(d \cosh\left(d x + c\right)^{4} + 4 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{4} + 2 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}\right]"," ",0,"[-1/20*(10*(b^3*cosh(d*x + c)^4 + 4*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*sinh(d*x + c)^4 + 2*b^3*cosh(d*x + c)^2 + b^3 + 2*(3*b^3*cosh(d*x + c)^2 + b^3)*sinh(d*x + c)^2 + 4*(b^3*cosh(d*x + c)^3 + b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - 5*(b^3*cosh(d*x + c)^4 + 4*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*sinh(d*x + c)^4 + 2*b^3*cosh(d*x + c)^2 + b^3 + 2*(3*b^3*cosh(d*x + c)^2 + b^3)*sinh(d*x + c)^2 + 4*(b^3*cosh(d*x + c)^3 + b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 16*(3*b^3*cosh(d*x + c)^4 + 12*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + 3*b^3*sinh(d*x + c)^4 + 4*b^3*cosh(d*x + c)^2 + 3*b^3 + 2*(9*b^3*cosh(d*x + c)^2 + 2*b^3)*sinh(d*x + c)^2 + 4*(3*b^3*cosh(d*x + c)^3 + 2*b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(d*cosh(d*x + c)^4 + 4*d*cosh(d*x + c)*sinh(d*x + c)^3 + d*sinh(d*x + c)^4 + 2*d*cosh(d*x + c)^2 + 2*(3*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 4*(d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d), -1/20*(10*(b^3*cosh(d*x + c)^4 + 4*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*sinh(d*x + c)^4 + 2*b^3*cosh(d*x + c)^2 + b^3 + 2*(3*b^3*cosh(d*x + c)^2 + b^3)*sinh(d*x + c)^2 + 4*(b^3*cosh(d*x + c)^3 + b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - 5*(b^3*cosh(d*x + c)^4 + 4*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*sinh(d*x + c)^4 + 2*b^3*cosh(d*x + c)^2 + b^3 + 2*(3*b^3*cosh(d*x + c)^2 + b^3)*sinh(d*x + c)^2 + 4*(b^3*cosh(d*x + c)^3 + b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) + 16*(3*b^3*cosh(d*x + c)^4 + 12*b^3*cosh(d*x + c)*sinh(d*x + c)^3 + 3*b^3*sinh(d*x + c)^4 + 4*b^3*cosh(d*x + c)^2 + 3*b^3 + 2*(9*b^3*cosh(d*x + c)^2 + 2*b^3)*sinh(d*x + c)^2 + 4*(3*b^3*cosh(d*x + c)^3 + 2*b^3*cosh(d*x + c))*sinh(d*x + c))*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(d*cosh(d*x + c)^4 + 4*d*cosh(d*x + c)*sinh(d*x + c)^3 + d*sinh(d*x + c)^4 + 2*d*cosh(d*x + c)^2 + 2*(3*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 4*(d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)]","B",0
14,1,980,0,0.518099," ","integrate((b*tanh(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{6 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} + b^{2}\right)} \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - 3 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} + b^{2}\right)} \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} - 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 8 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} - b^{2}\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{12 \, {\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} + d\right)}}, \frac{6 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} + b^{2}\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + 3 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} + b^{2}\right)} \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) - 8 \, {\left(b^{2} \cosh\left(d x + c\right)^{2} + 2 \, b^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} \sinh\left(d x + c\right)^{2} - b^{2}\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{12 \, {\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} + d\right)}}\right]"," ",0,"[-1/12*(6*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 + b^2)*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - 3*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 + b^2)*sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 - 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 8*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 - b^2)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2 + d), 1/12*(6*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 + b^2)*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + 3*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 + b^2)*sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) - 8*(b^2*cosh(d*x + c)^2 + 2*b^2*cosh(d*x + c)*sinh(d*x + c) + b^2*sinh(d*x + c)^2 - b^2)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2 + d)]","B",0
15,1,638,0,0.520056," ","integrate((b*tanh(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{-b} b \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - \sqrt{-b} b \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 8 \, b \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{4 \, d}, -\frac{2 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - b^{\frac{3}{2}} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) + 8 \, b \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{4 \, d}\right]"," ",0,"[-1/4*(2*sqrt(-b)*b*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - sqrt(-b)*b*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 8*b*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/d, -1/4*(2*b^(3/2)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - b^(3/2)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) + 8*b*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/d]","B",0
16,1,593,0,0.901742," ","integrate((b*tanh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} - 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, d}, \frac{2 \, \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right)}{4 \, d}\right]"," ",0,"[-1/4*(2*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 - 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/d, 1/4*(2*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b))/d]","B",0
17,1,599,0,0.577728," ","integrate(1/(b*tanh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} - 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, b d}, -\frac{2 \, \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right)}{4 \, b d}\right]"," ",0,"[-1/4*(2*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 - 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/(b*d), -1/4*(2*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b))/(b*d)]","B",0
18,1,924,0,0.694069," ","integrate(1/(b*tanh(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(\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} - 1\right)} \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + {\left(\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} - 1\right)} \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 8 \, {\left(\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} + 1\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{4 \, {\left(b^{2} d \cosh\left(d x + c\right)^{2} + 2 \, b^{2} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} d \sinh\left(d x + c\right)^{2} - b^{2} d\right)}}, \frac{2 \, {\left(\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} - 1\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + {\left(\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} - 1\right)} \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) - 8 \, {\left(\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} + 1\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{4 \, {\left(b^{2} d \cosh\left(d x + c\right)^{2} + 2 \, b^{2} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b^{2} d \sinh\left(d x + c\right)^{2} - b^{2} d\right)}}\right]"," ",0,"[-1/4*(2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 - 1)*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + (cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 - 1)*sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 8*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^2*d*cosh(d*x + c)^2 + 2*b^2*d*cosh(d*x + c)*sinh(d*x + c) + b^2*d*sinh(d*x + c)^2 - b^2*d), 1/4*(2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 - 1)*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + (cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 - 1)*sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) - 8*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^2*d*cosh(d*x + c)^2 + 2*b^2*d*cosh(d*x + c)*sinh(d*x + c) + b^2*d*sinh(d*x + c)^2 - b^2*d)]","B",0
19,1,1436,0,0.529654," ","integrate(1/(b*tanh(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{6 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + 3 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} - 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 8 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{12 \, {\left(b^{3} d \cosh\left(d x + c\right)^{4} + 4 \, b^{3} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} d \sinh\left(d x + c\right)^{4} - 2 \, b^{3} d \cosh\left(d x + c\right)^{2} + b^{3} d + 2 \, {\left(3 \, b^{3} d \cosh\left(d x + c\right)^{2} - b^{3} d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} d \cosh\left(d x + c\right)^{3} - b^{3} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}, -\frac{6 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) - 3 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) + 8 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + 2 \, {\left(3 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 2 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(\cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 1\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{12 \, {\left(b^{3} d \cosh\left(d x + c\right)^{4} + 4 \, b^{3} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b^{3} d \sinh\left(d x + c\right)^{4} - 2 \, b^{3} d \cosh\left(d x + c\right)^{2} + b^{3} d + 2 \, {\left(3 \, b^{3} d \cosh\left(d x + c\right)^{2} - b^{3} d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(b^{3} d \cosh\left(d x + c\right)^{3} - b^{3} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}\right]"," ",0,"[-1/12*(6*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + 3*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 - 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 8*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^3*d*cosh(d*x + c)^4 + 4*b^3*d*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*d*sinh(d*x + c)^4 - 2*b^3*d*cosh(d*x + c)^2 + b^3*d + 2*(3*b^3*d*cosh(d*x + c)^2 - b^3*d)*sinh(d*x + c)^2 + 4*(b^3*d*cosh(d*x + c)^3 - b^3*d*cosh(d*x + c))*sinh(d*x + c)), -1/12*(6*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) - 3*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) + 8*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + 2*(3*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 2*cosh(d*x + c)^2 + 4*(cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) + 1)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^3*d*cosh(d*x + c)^4 + 4*b^3*d*cosh(d*x + c)*sinh(d*x + c)^3 + b^3*d*sinh(d*x + c)^4 - 2*b^3*d*cosh(d*x + c)^2 + b^3*d + 2*(3*b^3*d*cosh(d*x + c)^2 - b^3*d)*sinh(d*x + c)^2 + 4*(b^3*d*cosh(d*x + c)^3 - b^3*d*cosh(d*x + c))*sinh(d*x + c))]","B",0
20,1,2144,0,0.702927," ","integrate(1/(b*tanh(d*x+c))^(7/2),x, algorithm=""fricas"")","\left[-\frac{10 \, {\left(\cosh\left(d x + c\right)^{6} + 6 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + \sinh\left(d x + c\right)^{6} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - 3 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(d x + c\right)^{3} - 3 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(\cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 1\right)} \sqrt{-b} \arctan\left(\frac{{\left(\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}\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + 5 \, {\left(\cosh\left(d x + c\right)^{6} + 6 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + \sinh\left(d x + c\right)^{6} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - 3 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(d x + c\right)^{3} - 3 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(\cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 1\right)} \sqrt{-b} \log\left(-\frac{b \cosh\left(d x + c\right)^{4} + 4 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\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} + 1\right)} \sqrt{-b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - 2 \, b}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right) + 16 \, {\left(3 \, \cosh\left(d x + c\right)^{6} + 18 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 3 \, \sinh\left(d x + c\right)^{6} + {\left(45 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - \cosh\left(d x + c\right)^{4} + 4 \, {\left(15 \, \cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + {\left(45 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - \cosh\left(d x + c\right)^{2} + 2 \, {\left(9 \, \cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 3\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{20 \, {\left(b^{4} d \cosh\left(d x + c\right)^{6} + 6 \, b^{4} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + b^{4} d \sinh\left(d x + c\right)^{6} - 3 \, b^{4} d \cosh\left(d x + c\right)^{4} + 3 \, b^{4} d \cosh\left(d x + c\right)^{2} - b^{4} d + 3 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{2} - b^{4} d\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{3} - 3 \, b^{4} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{4} - 6 \, b^{4} d \cosh\left(d x + c\right)^{2} + b^{4} d\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(b^{4} d \cosh\left(d x + c\right)^{5} - 2 \, b^{4} d \cosh\left(d x + c\right)^{3} + b^{4} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}, \frac{10 \, {\left(\cosh\left(d x + c\right)^{6} + 6 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + \sinh\left(d x + c\right)^{6} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - 3 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(d x + c\right)^{3} - 3 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(\cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 1\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{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} - b}\right) + 5 \, {\left(\cosh\left(d x + c\right)^{6} + 6 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + \sinh\left(d x + c\right)^{6} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - 3 \, \cosh\left(d x + c\right)^{4} + 4 \, {\left(5 \, \cosh\left(d x + c\right)^{3} - 3 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + 3 \, \cosh\left(d x + c\right)^{2} + 6 \, {\left(\cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 1\right)} \sqrt{b} \log\left(2 \, b \cosh\left(d x + c\right)^{4} + 8 \, b \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 12 \, b \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 8 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, b \sinh\left(d x + c\right)^{4} + 2 \, {\left(\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4} + {\left(6 \, \cosh\left(d x + c\right)^{2} + 1\right)} \sinh\left(d x + c\right)^{2} + \cosh\left(d x + c\right)^{2} + 2 \, {\left(2 \, \cosh\left(d x + c\right)^{3} + \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{b} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} - b\right) - 16 \, {\left(3 \, \cosh\left(d x + c\right)^{6} + 18 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 3 \, \sinh\left(d x + c\right)^{6} + {\left(45 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{4} - \cosh\left(d x + c\right)^{4} + 4 \, {\left(15 \, \cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + {\left(45 \, \cosh\left(d x + c\right)^{4} - 6 \, \cosh\left(d x + c\right)^{2} - 1\right)} \sinh\left(d x + c\right)^{2} - \cosh\left(d x + c\right)^{2} + 2 \, {\left(9 \, \cosh\left(d x + c\right)^{5} - 2 \, \cosh\left(d x + c\right)^{3} - \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + 3\right)} \sqrt{\frac{b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{20 \, {\left(b^{4} d \cosh\left(d x + c\right)^{6} + 6 \, b^{4} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + b^{4} d \sinh\left(d x + c\right)^{6} - 3 \, b^{4} d \cosh\left(d x + c\right)^{4} + 3 \, b^{4} d \cosh\left(d x + c\right)^{2} - b^{4} d + 3 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{2} - b^{4} d\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{3} - 3 \, b^{4} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, b^{4} d \cosh\left(d x + c\right)^{4} - 6 \, b^{4} d \cosh\left(d x + c\right)^{2} + b^{4} d\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(b^{4} d \cosh\left(d x + c\right)^{5} - 2 \, b^{4} d \cosh\left(d x + c\right)^{3} + b^{4} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}\right]"," ",0,"[-1/20*(10*(cosh(d*x + c)^6 + 6*cosh(d*x + c)*sinh(d*x + c)^5 + sinh(d*x + c)^6 + 3*(5*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - 3*cosh(d*x + c)^4 + 4*(5*cosh(d*x + c)^3 - 3*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 3*cosh(d*x + c)^2 + 6*(cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) - 1)*sqrt(-b)*arctan((cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + 5*(cosh(d*x + c)^6 + 6*cosh(d*x + c)*sinh(d*x + c)^5 + sinh(d*x + c)^6 + 3*(5*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - 3*cosh(d*x + c)^4 + 4*(5*cosh(d*x + c)^3 - 3*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 3*cosh(d*x + c)^2 + 6*(cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) - 1)*sqrt(-b)*log(-(b*cosh(d*x + c)^4 + 4*b*cosh(d*x + c)^3*sinh(d*x + c) + 6*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*b*cosh(d*x + c)*sinh(d*x + c)^3 + b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^2 + 2*cosh(d*x + c)*sinh(d*x + c) + sinh(d*x + c)^2 + 1)*sqrt(-b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - 2*b)/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)) + 16*(3*cosh(d*x + c)^6 + 18*cosh(d*x + c)*sinh(d*x + c)^5 + 3*sinh(d*x + c)^6 + (45*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - cosh(d*x + c)^4 + 4*(15*cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c)^3 + (45*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - cosh(d*x + c)^2 + 2*(9*cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 3)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^4*d*cosh(d*x + c)^6 + 6*b^4*d*cosh(d*x + c)*sinh(d*x + c)^5 + b^4*d*sinh(d*x + c)^6 - 3*b^4*d*cosh(d*x + c)^4 + 3*b^4*d*cosh(d*x + c)^2 - b^4*d + 3*(5*b^4*d*cosh(d*x + c)^2 - b^4*d)*sinh(d*x + c)^4 + 4*(5*b^4*d*cosh(d*x + c)^3 - 3*b^4*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*b^4*d*cosh(d*x + c)^4 - 6*b^4*d*cosh(d*x + c)^2 + b^4*d)*sinh(d*x + c)^2 + 6*(b^4*d*cosh(d*x + c)^5 - 2*b^4*d*cosh(d*x + c)^3 + b^4*d*cosh(d*x + c))*sinh(d*x + c)), 1/20*(10*(cosh(d*x + c)^6 + 6*cosh(d*x + c)*sinh(d*x + c)^5 + sinh(d*x + c)^6 + 3*(5*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - 3*cosh(d*x + c)^4 + 4*(5*cosh(d*x + c)^3 - 3*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 3*cosh(d*x + c)^2 + 6*(cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) - 1)*sqrt(b)*arctan(sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c))/(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2 - b)) + 5*(cosh(d*x + c)^6 + 6*cosh(d*x + c)*sinh(d*x + c)^5 + sinh(d*x + c)^6 + 3*(5*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - 3*cosh(d*x + c)^4 + 4*(5*cosh(d*x + c)^3 - 3*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + 3*cosh(d*x + c)^2 + 6*(cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c) - 1)*sqrt(b)*log(2*b*cosh(d*x + c)^4 + 8*b*cosh(d*x + c)^3*sinh(d*x + c) + 12*b*cosh(d*x + c)^2*sinh(d*x + c)^2 + 8*b*cosh(d*x + c)*sinh(d*x + c)^3 + 2*b*sinh(d*x + c)^4 + 2*(cosh(d*x + c)^4 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4 + (6*cosh(d*x + c)^2 + 1)*sinh(d*x + c)^2 + cosh(d*x + c)^2 + 2*(2*cosh(d*x + c)^3 + cosh(d*x + c))*sinh(d*x + c))*sqrt(b)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)) - b) - 16*(3*cosh(d*x + c)^6 + 18*cosh(d*x + c)*sinh(d*x + c)^5 + 3*sinh(d*x + c)^6 + (45*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^4 - cosh(d*x + c)^4 + 4*(15*cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c)^3 + (45*cosh(d*x + c)^4 - 6*cosh(d*x + c)^2 - 1)*sinh(d*x + c)^2 - cosh(d*x + c)^2 + 2*(9*cosh(d*x + c)^5 - 2*cosh(d*x + c)^3 - cosh(d*x + c))*sinh(d*x + c) + 3)*sqrt(b*sinh(d*x + c)/cosh(d*x + c)))/(b^4*d*cosh(d*x + c)^6 + 6*b^4*d*cosh(d*x + c)*sinh(d*x + c)^5 + b^4*d*sinh(d*x + c)^6 - 3*b^4*d*cosh(d*x + c)^4 + 3*b^4*d*cosh(d*x + c)^2 - b^4*d + 3*(5*b^4*d*cosh(d*x + c)^2 - b^4*d)*sinh(d*x + c)^4 + 4*(5*b^4*d*cosh(d*x + c)^3 - 3*b^4*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*b^4*d*cosh(d*x + c)^4 - 6*b^4*d*cosh(d*x + c)^2 + b^4*d)*sinh(d*x + c)^2 + 6*(b^4*d*cosh(d*x + c)^5 - 2*b^4*d*cosh(d*x + c)^3 + b^4*d*cosh(d*x + c))*sinh(d*x + c))]","B",0
21,1,179,0,0.512526," ","integrate(tanh(8*x)^(1/3),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \left(\frac{\sinh\left(8 \, x\right)}{\cosh\left(8 \, x\right)}\right)^{\frac{2}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{16} \, \log\left(\left(\frac{\sinh\left(8 \, x\right)}{\cosh\left(8 \, x\right)}\right)^{\frac{2}{3}} - 1\right) + \frac{1}{32} \, \log\left(\frac{\cosh\left(8 \, x\right)^{2} + 2 \, \cosh\left(8 \, x\right) \sinh\left(8 \, x\right) + \sinh\left(8 \, x\right)^{2} + {\left(\cosh\left(8 \, x\right)^{2} + 2 \, \cosh\left(8 \, x\right) \sinh\left(8 \, x\right) + \sinh\left(8 \, x\right)^{2} + 1\right)} \left(\frac{\sinh\left(8 \, x\right)}{\cosh\left(8 \, x\right)}\right)^{\frac{2}{3}} + {\left(\cosh\left(8 \, x\right)^{2} + 2 \, \cosh\left(8 \, x\right) \sinh\left(8 \, x\right) + \sinh\left(8 \, x\right)^{2} - 1\right)} \left(\frac{\sinh\left(8 \, x\right)}{\cosh\left(8 \, x\right)}\right)^{\frac{1}{3}} + 1}{\cosh\left(8 \, x\right)^{2} + 2 \, \cosh\left(8 \, x\right) \sinh\left(8 \, x\right) + \sinh\left(8 \, x\right)^{2} + 1}\right)"," ",0,"-1/16*sqrt(3)*arctan(2/3*sqrt(3)*(sinh(8*x)/cosh(8*x))^(2/3) + 1/3*sqrt(3)) - 1/16*log((sinh(8*x)/cosh(8*x))^(2/3) - 1) + 1/32*log((cosh(8*x)^2 + 2*cosh(8*x)*sinh(8*x) + sinh(8*x)^2 + (cosh(8*x)^2 + 2*cosh(8*x)*sinh(8*x) + sinh(8*x)^2 + 1)*(sinh(8*x)/cosh(8*x))^(2/3) + (cosh(8*x)^2 + 2*cosh(8*x)*sinh(8*x) + sinh(8*x)^2 - 1)*(sinh(8*x)/cosh(8*x))^(1/3) + 1)/(cosh(8*x)^2 + 2*cosh(8*x)*sinh(8*x) + sinh(8*x)^2 + 1))","B",0
22,0,0,0,0.516132," ","integrate(tanh(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(b x + a\right)^{n}, x\right)"," ",0,"integral(tanh(b*x + a)^n, x)","F",0
23,0,0,0,0.785886," ","integrate((b*tanh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \tanh\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*tanh(d*x + c))^n, x)","F",0
24,1,467,0,0.510844," ","integrate((a*tanh(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(a x \cosh\left(x\right)^{4} + {\left(a x e^{\left(2 \, x\right)} + a x\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a x \cosh\left(x\right) e^{\left(2 \, x\right)} + a x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(a x - a\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a x \cosh\left(x\right)^{2} + a x + {\left(3 \, a x \cosh\left(x\right)^{2} + a x - a\right)} e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)^{2} + a x + {\left(a x \cosh\left(x\right)^{4} + 2 \, {\left(a x - a\right)} \cosh\left(x\right)^{2} + a x\right)} e^{\left(2 \, x\right)} - {\left(a \cosh\left(x\right)^{4} + {\left(a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a \cosh\left(x\right)^{2} + {\left(3 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{2} + {\left(a \cosh\left(x\right)^{4} + 2 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + 4 \, {\left(a \cosh\left(x\right)^{3} + a \cosh\left(x\right) + {\left(a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + a\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(a x \cosh\left(x\right)^{3} + {\left(a x - a\right)} \cosh\left(x\right) + {\left(a x \cosh\left(x\right)^{3} + {\left(a x - a\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}}}{{\left(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(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(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(2 \, x\right)} - 4 \, {\left(\cosh\left(x\right)^{3} - {\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}"," ",0,"-(a*x*cosh(x)^4 + (a*x*e^(2*x) + a*x)*sinh(x)^4 + 4*(a*x*cosh(x)*e^(2*x) + a*x*cosh(x))*sinh(x)^3 + 2*(a*x - a)*cosh(x)^2 + 2*(3*a*x*cosh(x)^2 + a*x + (3*a*x*cosh(x)^2 + a*x - a)*e^(2*x) - a)*sinh(x)^2 + a*x + (a*x*cosh(x)^4 + 2*(a*x - a)*cosh(x)^2 + a*x)*e^(2*x) - (a*cosh(x)^4 + (a*e^(2*x) + a)*sinh(x)^4 + 4*(a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x)^3 + 2*a*cosh(x)^2 + 2*(3*a*cosh(x)^2 + (3*a*cosh(x)^2 + a)*e^(2*x) + a)*sinh(x)^2 + (a*cosh(x)^4 + 2*a*cosh(x)^2 + a)*e^(2*x) + 4*(a*cosh(x)^3 + a*cosh(x) + (a*cosh(x)^3 + a*cosh(x))*e^(2*x))*sinh(x) + a)*log(2*cosh(x)/(cosh(x) - sinh(x))) + 4*(a*x*cosh(x)^3 + (a*x - a)*cosh(x) + (a*x*cosh(x)^3 + (a*x - a)*cosh(x))*e^(2*x))*sinh(x))*sqrt((a*e^(4*x) - 2*a*e^(2*x) + a)/(e^(4*x) + 2*e^(2*x) + 1))/((e^(2*x) - 1)*sinh(x)^4 - cosh(x)^4 + 4*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^3 - 2*(3*cosh(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^(2*x) - 4*(cosh(x)^3 - (cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) - 1)","B",0
25,1,72,0,0.518925," ","integrate((a*tanh(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(x e^{\left(2 \, x\right)} - {\left(e^{\left(2 \, x\right)} + 1\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + x\right)} \sqrt{\frac{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}}}{e^{\left(2 \, x\right)} - 1}"," ",0,"-(x*e^(2*x) - (e^(2*x) + 1)*log(2*cosh(x)/(cosh(x) - sinh(x))) + x)*sqrt((a*e^(4*x) - 2*a*e^(2*x) + a)/(e^(4*x) + 2*e^(2*x) + 1))/(e^(2*x) - 1)","B",0
26,1,76,0,0.447230," ","integrate(1/(a*tanh(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(x e^{\left(2 \, x\right)} - {\left(e^{\left(2 \, x\right)} + 1\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + x\right)} \sqrt{\frac{a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}}}{a e^{\left(2 \, x\right)} - a}"," ",0,"-(x*e^(2*x) - (e^(2*x) + 1)*log(2*sinh(x)/(cosh(x) - sinh(x))) + x)*sqrt((a*e^(4*x) - 2*a*e^(2*x) + a)/(e^(4*x) + 2*e^(2*x) + 1))/(a*e^(2*x) - a)","B",0
27,1,177,0,0.475859," ","integrate((-tanh(d*x+c)^2)^(5/2),x, algorithm=""fricas"")","\frac{-i \, d x e^{\left(8 \, d x + 8 \, c\right)} - i \, d x + {\left(-4 i \, d x + 4 i\right)} e^{\left(6 \, d x + 6 \, c\right)} + {\left(-6 i \, d x + 4 i\right)} e^{\left(4 \, d x + 4 \, c\right)} + {\left(-4 i \, d x + 4 i\right)} e^{\left(2 \, d x + 2 \, c\right)} + {\left(i \, e^{\left(8 \, d x + 8 \, c\right)} + 4 i \, e^{\left(6 \, d x + 6 \, c\right)} + 6 i \, e^{\left(4 \, d x + 4 \, c\right)} + 4 i \, e^{\left(2 \, d x + 2 \, c\right)} + i\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{d e^{\left(8 \, d x + 8 \, c\right)} + 4 \, d e^{\left(6 \, d x + 6 \, c\right)} + 6 \, d e^{\left(4 \, d x + 4 \, c\right)} + 4 \, d e^{\left(2 \, d x + 2 \, c\right)} + d}"," ",0,"(-I*d*x*e^(8*d*x + 8*c) - I*d*x + (-4*I*d*x + 4*I)*e^(6*d*x + 6*c) + (-6*I*d*x + 4*I)*e^(4*d*x + 4*c) + (-4*I*d*x + 4*I)*e^(2*d*x + 2*c) + (I*e^(8*d*x + 8*c) + 4*I*e^(6*d*x + 6*c) + 6*I*e^(4*d*x + 4*c) + 4*I*e^(2*d*x + 2*c) + I)*log(e^(2*d*x + 2*c) + 1))/(d*e^(8*d*x + 8*c) + 4*d*e^(6*d*x + 6*c) + 6*d*e^(4*d*x + 4*c) + 4*d*e^(2*d*x + 2*c) + d)","C",0
28,1,99,0,0.599169," ","integrate((-tanh(d*x+c)^2)^(3/2),x, algorithm=""fricas"")","\frac{i \, d x e^{\left(4 \, d x + 4 \, c\right)} + i \, d x + {\left(2 i \, d x - 2 i\right)} e^{\left(2 \, d x + 2 \, c\right)} + {\left(-i \, e^{\left(4 \, d x + 4 \, c\right)} - 2 i \, e^{\left(2 \, d x + 2 \, c\right)} - i\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{d e^{\left(4 \, d x + 4 \, c\right)} + 2 \, d e^{\left(2 \, d x + 2 \, c\right)} + d}"," ",0,"(I*d*x*e^(4*d*x + 4*c) + I*d*x + (2*I*d*x - 2*I)*e^(2*d*x + 2*c) + (-I*e^(4*d*x + 4*c) - 2*I*e^(2*d*x + 2*c) - I)*log(e^(2*d*x + 2*c) + 1))/(d*e^(4*d*x + 4*c) + 2*d*e^(2*d*x + 2*c) + d)","C",0
29,1,23,0,0.456326," ","integrate((-tanh(d*x+c)^2)^(1/2),x, algorithm=""fricas"")","\frac{-i \, d x + i \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{d}"," ",0,"(-I*d*x + I*log(e^(2*d*x + 2*c) + 1))/d","C",0
30,1,23,0,0.503540," ","integrate(1/(-tanh(d*x+c)^2)^(1/2),x, algorithm=""fricas"")","\frac{i \, d x - i \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{d}"," ",0,"(I*d*x - I*log(e^(2*d*x + 2*c) - 1))/d","C",0
31,1,99,0,0.556192," ","integrate(1/(-tanh(d*x+c)^2)^(3/2),x, algorithm=""fricas"")","\frac{-i \, d x e^{\left(4 \, d x + 4 \, c\right)} - i \, d x + {\left(2 i \, d x - 2 i\right)} e^{\left(2 \, d x + 2 \, c\right)} + {\left(i \, e^{\left(4 \, d x + 4 \, c\right)} - 2 i \, e^{\left(2 \, d x + 2 \, c\right)} + i\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{d e^{\left(4 \, d x + 4 \, c\right)} - 2 \, d e^{\left(2 \, d x + 2 \, c\right)} + d}"," ",0,"(-I*d*x*e^(4*d*x + 4*c) - I*d*x + (2*I*d*x - 2*I)*e^(2*d*x + 2*c) + (I*e^(4*d*x + 4*c) - 2*I*e^(2*d*x + 2*c) + I)*log(e^(2*d*x + 2*c) - 1))/(d*e^(4*d*x + 4*c) - 2*d*e^(2*d*x + 2*c) + d)","C",0
32,1,177,0,0.691359," ","integrate(1/(-tanh(d*x+c)^2)^(5/2),x, algorithm=""fricas"")","\frac{i \, d x e^{\left(8 \, d x + 8 \, c\right)} + i \, d x + {\left(-4 i \, d x + 4 i\right)} e^{\left(6 \, d x + 6 \, c\right)} + {\left(6 i \, d x - 4 i\right)} e^{\left(4 \, d x + 4 \, c\right)} + {\left(-4 i \, d x + 4 i\right)} e^{\left(2 \, d x + 2 \, c\right)} + {\left(-i \, e^{\left(8 \, d x + 8 \, c\right)} + 4 i \, e^{\left(6 \, d x + 6 \, c\right)} - 6 i \, e^{\left(4 \, d x + 4 \, c\right)} + 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - i\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{d e^{\left(8 \, d x + 8 \, c\right)} - 4 \, d e^{\left(6 \, d x + 6 \, c\right)} + 6 \, d e^{\left(4 \, d x + 4 \, c\right)} - 4 \, d e^{\left(2 \, d x + 2 \, c\right)} + d}"," ",0,"(I*d*x*e^(8*d*x + 8*c) + I*d*x + (-4*I*d*x + 4*I)*e^(6*d*x + 6*c) + (6*I*d*x - 4*I)*e^(4*d*x + 4*c) + (-4*I*d*x + 4*I)*e^(2*d*x + 2*c) + (-I*e^(8*d*x + 8*c) + 4*I*e^(6*d*x + 6*c) - 6*I*e^(4*d*x + 4*c) + 4*I*e^(2*d*x + 2*c) - I)*log(e^(2*d*x + 2*c) - 1))/(d*e^(8*d*x + 8*c) - 4*d*e^(6*d*x + 6*c) + 6*d*e^(4*d*x + 4*c) - 4*d*e^(2*d*x + 2*c) + d)","C",0
33,1,106,0,0.508078," ","integrate((tanh(x)^3)^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{\frac{\sinh\left(x\right)}{\cosh\left(x\right)}} + \arctan\left(-\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \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)} \sqrt{\frac{\sinh\left(x\right)}{\cosh\left(x\right)}}\right) - \frac{1}{2} \, \log\left(-\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) - \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)} \sqrt{\frac{\sinh\left(x\right)}{\cosh\left(x\right)}}\right)"," ",0,"-2*sqrt(sinh(x)/cosh(x)) + arctan(-cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(sinh(x)/cosh(x))) - 1/2*log(-cosh(x)^2 - 2*cosh(x)*sinh(x) - sinh(x)^2 + (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(sinh(x)/cosh(x)))","B",0
34,1,1269,0,0.827844," ","integrate((a*tanh(x)^3)^(3/2),x, algorithm=""fricas"")","\left[-\frac{42 \, {\left(a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + a \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)} \sqrt{-a} \arctan\left(\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a}\right) - 21 \, {\left(a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + a \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)} \sqrt{-a} \log\left(-\frac{a \cosh\left(x\right)^{4} + 4 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + a \sinh\left(x\right)^{4} - 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - 2 \, a}{\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) + 16 \, {\left(5 \, a \cosh\left(x\right)^{6} + 30 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + 5 \, a \sinh\left(x\right)^{6} - a \cosh\left(x\right)^{4} + {\left(75 \, a \cosh\left(x\right)^{2} - a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(25 \, a \cosh\left(x\right)^{3} - a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a \cosh\left(x\right)^{2} + {\left(75 \, a \cosh\left(x\right)^{4} - 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 2 \, {\left(15 \, a \cosh\left(x\right)^{5} - 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - 5 \, a\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{84 \, {\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)}}, -\frac{42 \, {\left(a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + a \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)} \sqrt{a} \arctan\left(\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{\sqrt{a}}\right) - 21 \, {\left(a \cosh\left(x\right)^{6} + 6 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + a \sinh\left(x\right)^{6} + 3 \, a \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a \cosh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, a \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a \cosh\left(x\right)^{4} + 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a \cosh\left(x\right)^{5} + 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) + a\right)} \sqrt{a} \log\left(2 \, a \cosh\left(x\right)^{4} + 8 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 12 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + 2 \, a \sinh\left(x\right)^{4} + 2 \, {\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{a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - a\right) + 16 \, {\left(5 \, a \cosh\left(x\right)^{6} + 30 \, a \cosh\left(x\right) \sinh\left(x\right)^{5} + 5 \, a \sinh\left(x\right)^{6} - a \cosh\left(x\right)^{4} + {\left(75 \, a \cosh\left(x\right)^{2} - a\right)} \sinh\left(x\right)^{4} + 4 \, {\left(25 \, a \cosh\left(x\right)^{3} - a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a \cosh\left(x\right)^{2} + {\left(75 \, a \cosh\left(x\right)^{4} - 6 \, a \cosh\left(x\right)^{2} + a\right)} \sinh\left(x\right)^{2} + 2 \, {\left(15 \, a \cosh\left(x\right)^{5} - 2 \, a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - 5 \, a\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{84 \, {\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)}}\right]"," ",0,"[-1/84*(42*(a*cosh(x)^6 + 6*a*cosh(x)*sinh(x)^5 + a*sinh(x)^6 + 3*a*cosh(x)^4 + 3*(5*a*cosh(x)^2 + a)*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(5*a*cosh(x)^4 + 6*a*cosh(x)^2 + a)*sinh(x)^2 + 6*(a*cosh(x)^5 + 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)*sqrt(-a)*arctan((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a)) - 21*(a*cosh(x)^6 + 6*a*cosh(x)*sinh(x)^5 + a*sinh(x)^6 + 3*a*cosh(x)^4 + 3*(5*a*cosh(x)^2 + a)*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(5*a*cosh(x)^4 + 6*a*cosh(x)^2 + a)*sinh(x)^2 + 6*(a*cosh(x)^5 + 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)*sqrt(-a)*log(-(a*cosh(x)^4 + 4*a*cosh(x)^3*sinh(x) + 6*a*cosh(x)^2*sinh(x)^2 + 4*a*cosh(x)*sinh(x)^3 + a*sinh(x)^4 - 2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x)) - 2*a)/(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)) + 16*(5*a*cosh(x)^6 + 30*a*cosh(x)*sinh(x)^5 + 5*a*sinh(x)^6 - a*cosh(x)^4 + (75*a*cosh(x)^2 - a)*sinh(x)^4 + 4*(25*a*cosh(x)^3 - a*cosh(x))*sinh(x)^3 + a*cosh(x)^2 + (75*a*cosh(x)^4 - 6*a*cosh(x)^2 + a)*sinh(x)^2 + 2*(15*a*cosh(x)^5 - 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) - 5*a)*sqrt(a*sinh(x)/cosh(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), -1/84*(42*(a*cosh(x)^6 + 6*a*cosh(x)*sinh(x)^5 + a*sinh(x)^6 + 3*a*cosh(x)^4 + 3*(5*a*cosh(x)^2 + a)*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(5*a*cosh(x)^4 + 6*a*cosh(x)^2 + a)*sinh(x)^2 + 6*(a*cosh(x)^5 + 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)*sqrt(a)*arctan((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(a*sinh(x)/cosh(x))/sqrt(a)) - 21*(a*cosh(x)^6 + 6*a*cosh(x)*sinh(x)^5 + a*sinh(x)^6 + 3*a*cosh(x)^4 + 3*(5*a*cosh(x)^2 + a)*sinh(x)^4 + 4*(5*a*cosh(x)^3 + 3*a*cosh(x))*sinh(x)^3 + 3*a*cosh(x)^2 + 3*(5*a*cosh(x)^4 + 6*a*cosh(x)^2 + a)*sinh(x)^2 + 6*(a*cosh(x)^5 + 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) + a)*sqrt(a)*log(2*a*cosh(x)^4 + 8*a*cosh(x)^3*sinh(x) + 12*a*cosh(x)^2*sinh(x)^2 + 8*a*cosh(x)*sinh(x)^3 + 2*a*sinh(x)^4 + 2*(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(a)*sqrt(a*sinh(x)/cosh(x)) - a) + 16*(5*a*cosh(x)^6 + 30*a*cosh(x)*sinh(x)^5 + 5*a*sinh(x)^6 - a*cosh(x)^4 + (75*a*cosh(x)^2 - a)*sinh(x)^4 + 4*(25*a*cosh(x)^3 - a*cosh(x))*sinh(x)^3 + a*cosh(x)^2 + (75*a*cosh(x)^4 - 6*a*cosh(x)^2 + a)*sinh(x)^2 + 2*(15*a*cosh(x)^5 - 2*a*cosh(x)^3 + a*cosh(x))*sinh(x) - 5*a)*sqrt(a*sinh(x)/cosh(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
35,1,376,0,0.632408," ","integrate((a*tanh(x)^3)^(1/2),x, algorithm=""fricas"")","\left[-\frac{1}{2} \, \sqrt{-a} \arctan\left(\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a}\right) + \frac{1}{4} \, \sqrt{-a} \log\left(-\frac{a \cosh\left(x\right)^{4} + 4 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + a \sinh\left(x\right)^{4} + 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - 2 \, a}{\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) - 2 \, \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}, -\frac{1}{2} \, \sqrt{a} \arctan\left(\frac{\sqrt{a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a}\right) + \frac{1}{4} \, \sqrt{a} \log\left(2 \, a \cosh\left(x\right)^{4} + 8 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 12 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + 2 \, a \sinh\left(x\right)^{4} + 2 \, {\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{a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - a\right) - 2 \, \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}\right]"," ",0,"[-1/2*sqrt(-a)*arctan((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a)) + 1/4*sqrt(-a)*log(-(a*cosh(x)^4 + 4*a*cosh(x)^3*sinh(x) + 6*a*cosh(x)^2*sinh(x)^2 + 4*a*cosh(x)*sinh(x)^3 + a*sinh(x)^4 + 2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x)) - 2*a)/(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)) - 2*sqrt(a*sinh(x)/cosh(x)), -1/2*sqrt(a)*arctan(sqrt(a)*sqrt(a*sinh(x)/cosh(x))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a)) + 1/4*sqrt(a)*log(2*a*cosh(x)^4 + 8*a*cosh(x)^3*sinh(x) + 12*a*cosh(x)^2*sinh(x)^2 + 8*a*cosh(x)*sinh(x)^3 + 2*a*sinh(x)^4 + 2*(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(a)*sqrt(a*sinh(x)/cosh(x)) - a) - 2*sqrt(a*sinh(x)/cosh(x))]","B",0
36,1,516,0,0.531378," ","integrate(1/(a*tanh(x)^3)^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{-a} \arctan\left(\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a}\right) + {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{-a} \log\left(-\frac{a \cosh\left(x\right)^{4} + 4 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + a \sinh\left(x\right)^{4} + 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{-a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - 2 \, a}{\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) + 8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{4 \, {\left(a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a\right)}}, -\frac{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{a} \arctan\left(\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{\sqrt{a}}\right) - {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{a} \log\left(2 \, a \cosh\left(x\right)^{4} + 8 \, a \cosh\left(x\right)^{3} \sinh\left(x\right) + 12 \, a \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 8 \, a \cosh\left(x\right) \sinh\left(x\right)^{3} + 2 \, a \sinh\left(x\right)^{4} + 2 \, {\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{a} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}} - a\right) + 8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}}}{4 \, {\left(a \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} - a\right)}}\right]"," ",0,"[-1/4*(2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(-a)*arctan((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a)) + (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(-a)*log(-(a*cosh(x)^4 + 4*a*cosh(x)^3*sinh(x) + 6*a*cosh(x)^2*sinh(x)^2 + 4*a*cosh(x)*sinh(x)^3 + a*sinh(x)^4 + 2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(-a)*sqrt(a*sinh(x)/cosh(x)) - 2*a)/(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)) + 8*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(a*sinh(x)/cosh(x)))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a), -1/4*(2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(a)*arctan((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(a*sinh(x)/cosh(x))/sqrt(a)) - (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(a)*log(2*a*cosh(x)^4 + 8*a*cosh(x)^3*sinh(x) + 12*a*cosh(x)^2*sinh(x)^2 + 8*a*cosh(x)*sinh(x)^3 + 2*a*sinh(x)^4 + 2*(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(a)*sqrt(a*sinh(x)/cosh(x)) - a) + 8*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt(a*sinh(x)/cosh(x)))/(a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 - a)]","B",0
37,1,2114,0,0.830159," ","integrate((a*tanh(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left(15 \, a x \cosh\left(x\right)^{10} + 15 \, {\left(a x e^{\left(4 \, x\right)} + 2 \, a x e^{\left(2 \, x\right)} + a x\right)} \sinh\left(x\right)^{10} + 150 \, {\left(a x \cosh\left(x\right) e^{\left(4 \, x\right)} + 2 \, a x \cosh\left(x\right) e^{\left(2 \, x\right)} + a x \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{8} + 15 \, {\left(45 \, a x \cosh\left(x\right)^{2} + 5 \, a x + {\left(45 \, a x \cosh\left(x\right)^{2} + 5 \, a x + 6 \, a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(45 \, a x \cosh\left(x\right)^{2} + 5 \, a x + 6 \, a\right)} e^{\left(2 \, x\right)} + 6 \, a\right)} \sinh\left(x\right)^{8} + 120 \, {\left(15 \, a x \cosh\left(x\right)^{3} + {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right) + {\left(15 \, a x \cosh\left(x\right)^{3} + {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(15 \, a x \cosh\left(x\right)^{3} + {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} + 30 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 30 \, {\left(105 \, a x \cosh\left(x\right)^{4} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 5 \, a x + {\left(105 \, a x \cosh\left(x\right)^{4} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 5 \, a x + 6 \, a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(105 \, a x \cosh\left(x\right)^{4} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 5 \, a x + 6 \, a\right)} e^{\left(2 \, x\right)} + 6 \, a\right)} \sinh\left(x\right)^{6} + 60 \, {\left(63 \, a x \cosh\left(x\right)^{5} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + 3 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right) + {\left(63 \, a x \cosh\left(x\right)^{5} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + 3 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(63 \, a x \cosh\left(x\right)^{5} + 14 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + 3 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{4} + 10 \, {\left(315 \, a x \cosh\left(x\right)^{6} + 105 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 45 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + {\left(315 \, a x \cosh\left(x\right)^{6} + 105 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 45 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 28 \, a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(315 \, a x \cosh\left(x\right)^{6} + 105 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 45 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 28 \, a\right)} e^{\left(2 \, x\right)} + 28 \, a\right)} \sinh\left(x\right)^{4} + 40 \, {\left(45 \, a x \cosh\left(x\right)^{7} + 21 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right) + {\left(45 \, a x \cosh\left(x\right)^{7} + 21 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(45 \, a x \cosh\left(x\right)^{7} + 21 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 5 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 5 \, {\left(135 \, a x \cosh\left(x\right)^{8} + 84 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 90 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 12 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + {\left(135 \, a x \cosh\left(x\right)^{8} + 84 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 90 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 12 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 28 \, a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(135 \, a x \cosh\left(x\right)^{8} + 84 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 90 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{4} + 12 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 28 \, a\right)} e^{\left(2 \, x\right)} + 28 \, a\right)} \sinh\left(x\right)^{2} + 15 \, a x + {\left(15 \, a x \cosh\left(x\right)^{10} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{8} + 30 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 10 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{4} + 5 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 46 \, a\right)} e^{\left(4 \, x\right)} + 2 \, {\left(15 \, a x \cosh\left(x\right)^{10} + 15 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{8} + 30 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{6} + 10 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{4} + 5 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{2} + 15 \, a x + 46 \, a\right)} e^{\left(2 \, x\right)} + 10 \, {\left(15 \, a x \cosh\left(x\right)^{9} + 12 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{7} + 18 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 4 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right) + {\left(15 \, a x \cosh\left(x\right)^{9} + 12 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{7} + 18 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 4 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} + 2 \, {\left(15 \, a x \cosh\left(x\right)^{9} + 12 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{7} + 18 \, {\left(5 \, a x + 6 \, a\right)} \cosh\left(x\right)^{5} + 4 \, {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)^{3} + {\left(15 \, a x + 28 \, a\right)} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + 46 \, a\right)} \sqrt{\frac{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}}}{15 \, {\left({\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{10} + \cosh\left(x\right)^{10} + 10 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 5 \, {\left(9 \, \cosh\left(x\right)^{2} + {\left(9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{8} + 5 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{2} + 5 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{10} + 5 \, \cosh\left(x\right)^{8} + 10 \, \cosh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{10} + 5 \, \cosh\left(x\right)^{8} + 10 \, \cosh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 10 \, {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{3} + {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \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)}}"," ",0,"1/15*(15*a*x*cosh(x)^10 + 15*(a*x*e^(4*x) + 2*a*x*e^(2*x) + a*x)*sinh(x)^10 + 150*(a*x*cosh(x)*e^(4*x) + 2*a*x*cosh(x)*e^(2*x) + a*x*cosh(x))*sinh(x)^9 + 15*(5*a*x + 6*a)*cosh(x)^8 + 15*(45*a*x*cosh(x)^2 + 5*a*x + (45*a*x*cosh(x)^2 + 5*a*x + 6*a)*e^(4*x) + 2*(45*a*x*cosh(x)^2 + 5*a*x + 6*a)*e^(2*x) + 6*a)*sinh(x)^8 + 120*(15*a*x*cosh(x)^3 + (5*a*x + 6*a)*cosh(x) + (15*a*x*cosh(x)^3 + (5*a*x + 6*a)*cosh(x))*e^(4*x) + 2*(15*a*x*cosh(x)^3 + (5*a*x + 6*a)*cosh(x))*e^(2*x))*sinh(x)^7 + 30*(5*a*x + 6*a)*cosh(x)^6 + 30*(105*a*x*cosh(x)^4 + 14*(5*a*x + 6*a)*cosh(x)^2 + 5*a*x + (105*a*x*cosh(x)^4 + 14*(5*a*x + 6*a)*cosh(x)^2 + 5*a*x + 6*a)*e^(4*x) + 2*(105*a*x*cosh(x)^4 + 14*(5*a*x + 6*a)*cosh(x)^2 + 5*a*x + 6*a)*e^(2*x) + 6*a)*sinh(x)^6 + 60*(63*a*x*cosh(x)^5 + 14*(5*a*x + 6*a)*cosh(x)^3 + 3*(5*a*x + 6*a)*cosh(x) + (63*a*x*cosh(x)^5 + 14*(5*a*x + 6*a)*cosh(x)^3 + 3*(5*a*x + 6*a)*cosh(x))*e^(4*x) + 2*(63*a*x*cosh(x)^5 + 14*(5*a*x + 6*a)*cosh(x)^3 + 3*(5*a*x + 6*a)*cosh(x))*e^(2*x))*sinh(x)^5 + 10*(15*a*x + 28*a)*cosh(x)^4 + 10*(315*a*x*cosh(x)^6 + 105*(5*a*x + 6*a)*cosh(x)^4 + 45*(5*a*x + 6*a)*cosh(x)^2 + 15*a*x + (315*a*x*cosh(x)^6 + 105*(5*a*x + 6*a)*cosh(x)^4 + 45*(5*a*x + 6*a)*cosh(x)^2 + 15*a*x + 28*a)*e^(4*x) + 2*(315*a*x*cosh(x)^6 + 105*(5*a*x + 6*a)*cosh(x)^4 + 45*(5*a*x + 6*a)*cosh(x)^2 + 15*a*x + 28*a)*e^(2*x) + 28*a)*sinh(x)^4 + 40*(45*a*x*cosh(x)^7 + 21*(5*a*x + 6*a)*cosh(x)^5 + 15*(5*a*x + 6*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x) + (45*a*x*cosh(x)^7 + 21*(5*a*x + 6*a)*cosh(x)^5 + 15*(5*a*x + 6*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x))*e^(4*x) + 2*(45*a*x*cosh(x)^7 + 21*(5*a*x + 6*a)*cosh(x)^5 + 15*(5*a*x + 6*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x))*e^(2*x))*sinh(x)^3 + 5*(15*a*x + 28*a)*cosh(x)^2 + 5*(135*a*x*cosh(x)^8 + 84*(5*a*x + 6*a)*cosh(x)^6 + 90*(5*a*x + 6*a)*cosh(x)^4 + 12*(15*a*x + 28*a)*cosh(x)^2 + 15*a*x + (135*a*x*cosh(x)^8 + 84*(5*a*x + 6*a)*cosh(x)^6 + 90*(5*a*x + 6*a)*cosh(x)^4 + 12*(15*a*x + 28*a)*cosh(x)^2 + 15*a*x + 28*a)*e^(4*x) + 2*(135*a*x*cosh(x)^8 + 84*(5*a*x + 6*a)*cosh(x)^6 + 90*(5*a*x + 6*a)*cosh(x)^4 + 12*(15*a*x + 28*a)*cosh(x)^2 + 15*a*x + 28*a)*e^(2*x) + 28*a)*sinh(x)^2 + 15*a*x + (15*a*x*cosh(x)^10 + 15*(5*a*x + 6*a)*cosh(x)^8 + 30*(5*a*x + 6*a)*cosh(x)^6 + 10*(15*a*x + 28*a)*cosh(x)^4 + 5*(15*a*x + 28*a)*cosh(x)^2 + 15*a*x + 46*a)*e^(4*x) + 2*(15*a*x*cosh(x)^10 + 15*(5*a*x + 6*a)*cosh(x)^8 + 30*(5*a*x + 6*a)*cosh(x)^6 + 10*(15*a*x + 28*a)*cosh(x)^4 + 5*(15*a*x + 28*a)*cosh(x)^2 + 15*a*x + 46*a)*e^(2*x) + 10*(15*a*x*cosh(x)^9 + 12*(5*a*x + 6*a)*cosh(x)^7 + 18*(5*a*x + 6*a)*cosh(x)^5 + 4*(15*a*x + 28*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x) + (15*a*x*cosh(x)^9 + 12*(5*a*x + 6*a)*cosh(x)^7 + 18*(5*a*x + 6*a)*cosh(x)^5 + 4*(15*a*x + 28*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x))*e^(4*x) + 2*(15*a*x*cosh(x)^9 + 12*(5*a*x + 6*a)*cosh(x)^7 + 18*(5*a*x + 6*a)*cosh(x)^5 + 4*(15*a*x + 28*a)*cosh(x)^3 + (15*a*x + 28*a)*cosh(x))*e^(2*x))*sinh(x) + 46*a)*sqrt((a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + 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)*sinh(x)^10 + cosh(x)^10 + 10*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^9 + 5*(9*cosh(x)^2 + (9*cosh(x)^2 + 1)*e^(4*x) - 2*(9*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^8 + 5*cosh(x)^8 + 40*(3*cosh(x)^3 + (3*cosh(x)^3 + cosh(x))*e^(4*x) - 2*(3*cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 + 14*cosh(x)^2 + (21*cosh(x)^4 + 14*cosh(x)^2 + 1)*e^(4*x) - 2*(21*cosh(x)^4 + 14*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^6 + 10*cosh(x)^6 + 4*(63*cosh(x)^5 + 70*cosh(x)^3 + (63*cosh(x)^5 + 70*cosh(x)^3 + 15*cosh(x))*e^(4*x) - 2*(63*cosh(x)^5 + 70*cosh(x)^3 + 15*cosh(x))*e^(2*x) + 15*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + (21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + 1)*e^(4*x) - 2*(21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^4 + 10*cosh(x)^4 + 40*(3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + (3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*e^(4*x) - 2*(3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + (9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + 1)*e^(4*x) - 2*(9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^2 + 5*cosh(x)^2 + (cosh(x)^10 + 5*cosh(x)^8 + 10*cosh(x)^6 + 10*cosh(x)^4 + 5*cosh(x)^2 + 1)*e^(4*x) - 2*(cosh(x)^10 + 5*cosh(x)^8 + 10*cosh(x)^6 + 10*cosh(x)^4 + 5*cosh(x)^2 + 1)*e^(2*x) + 10*(cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + (cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + cosh(x))*e^(4*x) - 2*(cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + cosh(x))*e^(2*x) + cosh(x))*sinh(x) + 1)","B",0
38,1,213,0,0.442183," ","integrate((a*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} + x + 2\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{2} + x + 2\right)} e^{\left(2 \, x\right)} + 2 \, {\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) + x + 2\right)} \sqrt{\frac{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a}{e^{\left(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)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}"," ",0,"(x*cosh(x)^2 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 + x + 2)*e^(4*x) + 2*(x*cosh(x)^2 + x + 2)*e^(2*x) + 2*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) + x + 2)*sqrt((a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + 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)*sinh(x)^2 + cosh(x)^2 + (cosh(x)^2 + 1)*e^(4*x) - 2*(cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x) + 1)","B",0
39,1,238,0,0.564234," ","integrate(1/(a*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x \cosh\left(x\right)^{2} + {\left(x e^{\left(4 \, x\right)} + 2 \, x e^{\left(2 \, x\right)} + x\right)} \sinh\left(x\right)^{2} + {\left(x \cosh\left(x\right)^{2} - x - 2\right)} e^{\left(4 \, x\right)} + 2 \, {\left(x \cosh\left(x\right)^{2} - x - 2\right)} e^{\left(2 \, x\right)} + 2 \, {\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) - x - 2\right)} \sqrt{\frac{a e^{\left(8 \, x\right)} - 4 \, a e^{\left(6 \, x\right)} + 6 \, a e^{\left(4 \, x\right)} - 4 \, a e^{\left(2 \, x\right)} + a}{e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1}}}{a \cosh\left(x\right)^{2} + {\left(a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{2} + {\left(a \cosh\left(x\right)^{2} - a\right)} e^{\left(4 \, x\right)} - 2 \, {\left(a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} + 2 \, {\left(a \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right) - a}"," ",0,"(x*cosh(x)^2 + (x*e^(4*x) + 2*x*e^(2*x) + x)*sinh(x)^2 + (x*cosh(x)^2 - x - 2)*e^(4*x) + 2*(x*cosh(x)^2 - x - 2)*e^(2*x) + 2*(x*cosh(x)*e^(4*x) + 2*x*cosh(x)*e^(2*x) + x*cosh(x))*sinh(x) - x - 2)*sqrt((a*e^(8*x) - 4*a*e^(6*x) + 6*a*e^(4*x) - 4*a*e^(2*x) + a)/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1))/(a*cosh(x)^2 + (a*e^(4*x) - 2*a*e^(2*x) + a)*sinh(x)^2 + (a*cosh(x)^2 - a)*e^(4*x) - 2*(a*cosh(x)^2 - a)*e^(2*x) + 2*(a*cosh(x)*e^(4*x) - 2*a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x) - a)","B",0
40,0,0,0,0.515450," ","integrate((b*tanh(d*x+c)^m)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \tanh\left(d x + c\right)^{m}\right)^{n}, x\right)"," ",0,"integral((b*tanh(d*x + c)^m)^n, x)","F",0
41,1,907,0,0.719702," ","integrate((a+a*tanh(d*x+c))^5,x, algorithm=""fricas"")","\frac{4 \, {\left(48 \, a^{5} \cosh\left(d x + c\right)^{6} + 288 \, a^{5} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 48 \, a^{5} \sinh\left(d x + c\right)^{6} + 108 \, a^{5} \cosh\left(d x + c\right)^{4} + 88 \, a^{5} \cosh\left(d x + c\right)^{2} + 25 \, a^{5} + 36 \, {\left(20 \, a^{5} \cosh\left(d x + c\right)^{2} + 3 \, a^{5}\right)} \sinh\left(d x + c\right)^{4} + 48 \, {\left(20 \, a^{5} \cosh\left(d x + c\right)^{3} + 9 \, a^{5} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 8 \, {\left(90 \, a^{5} \cosh\left(d x + c\right)^{4} + 81 \, a^{5} \cosh\left(d x + c\right)^{2} + 11 \, a^{5}\right)} \sinh\left(d x + c\right)^{2} + 12 \, {\left(a^{5} \cosh\left(d x + c\right)^{8} + 8 \, a^{5} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + a^{5} \sinh\left(d x + c\right)^{8} + 4 \, a^{5} \cosh\left(d x + c\right)^{6} + 6 \, a^{5} \cosh\left(d x + c\right)^{4} + 4 \, a^{5} \cosh\left(d x + c\right)^{2} + 4 \, {\left(7 \, a^{5} \cosh\left(d x + c\right)^{2} + a^{5}\right)} \sinh\left(d x + c\right)^{6} + 8 \, {\left(7 \, a^{5} \cosh\left(d x + c\right)^{3} + 3 \, a^{5} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + a^{5} + 2 \, {\left(35 \, a^{5} \cosh\left(d x + c\right)^{4} + 30 \, a^{5} \cosh\left(d x + c\right)^{2} + 3 \, a^{5}\right)} \sinh\left(d x + c\right)^{4} + 8 \, {\left(7 \, a^{5} \cosh\left(d x + c\right)^{5} + 10 \, a^{5} \cosh\left(d x + c\right)^{3} + 3 \, a^{5} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 4 \, {\left(7 \, a^{5} \cosh\left(d x + c\right)^{6} + 15 \, a^{5} \cosh\left(d x + c\right)^{4} + 9 \, a^{5} \cosh\left(d x + c\right)^{2} + a^{5}\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left(a^{5} \cosh\left(d x + c\right)^{7} + 3 \, a^{5} \cosh\left(d x + c\right)^{5} + 3 \, a^{5} \cosh\left(d x + c\right)^{3} + a^{5} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 16 \, {\left(18 \, a^{5} \cosh\left(d x + c\right)^{5} + 27 \, a^{5} \cosh\left(d x + c\right)^{3} + 11 \, a^{5} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}{3 \, {\left(d \cosh\left(d x + c\right)^{8} + 8 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + d \sinh\left(d x + c\right)^{8} + 4 \, d \cosh\left(d x + c\right)^{6} + 4 \, {\left(7 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{6} + 8 \, {\left(7 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 6 \, d \cosh\left(d x + c\right)^{4} + 2 \, {\left(35 \, d \cosh\left(d x + c\right)^{4} + 30 \, d \cosh\left(d x + c\right)^{2} + 3 \, d\right)} \sinh\left(d x + c\right)^{4} + 8 \, {\left(7 \, d \cosh\left(d x + c\right)^{5} + 10 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 4 \, d \cosh\left(d x + c\right)^{2} + 4 \, {\left(7 \, d \cosh\left(d x + c\right)^{6} + 15 \, d \cosh\left(d x + c\right)^{4} + 9 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left(d \cosh\left(d x + c\right)^{7} + 3 \, d \cosh\left(d x + c\right)^{5} + 3 \, d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"4/3*(48*a^5*cosh(d*x + c)^6 + 288*a^5*cosh(d*x + c)*sinh(d*x + c)^5 + 48*a^5*sinh(d*x + c)^6 + 108*a^5*cosh(d*x + c)^4 + 88*a^5*cosh(d*x + c)^2 + 25*a^5 + 36*(20*a^5*cosh(d*x + c)^2 + 3*a^5)*sinh(d*x + c)^4 + 48*(20*a^5*cosh(d*x + c)^3 + 9*a^5*cosh(d*x + c))*sinh(d*x + c)^3 + 8*(90*a^5*cosh(d*x + c)^4 + 81*a^5*cosh(d*x + c)^2 + 11*a^5)*sinh(d*x + c)^2 + 12*(a^5*cosh(d*x + c)^8 + 8*a^5*cosh(d*x + c)*sinh(d*x + c)^7 + a^5*sinh(d*x + c)^8 + 4*a^5*cosh(d*x + c)^6 + 6*a^5*cosh(d*x + c)^4 + 4*a^5*cosh(d*x + c)^2 + 4*(7*a^5*cosh(d*x + c)^2 + a^5)*sinh(d*x + c)^6 + 8*(7*a^5*cosh(d*x + c)^3 + 3*a^5*cosh(d*x + c))*sinh(d*x + c)^5 + a^5 + 2*(35*a^5*cosh(d*x + c)^4 + 30*a^5*cosh(d*x + c)^2 + 3*a^5)*sinh(d*x + c)^4 + 8*(7*a^5*cosh(d*x + c)^5 + 10*a^5*cosh(d*x + c)^3 + 3*a^5*cosh(d*x + c))*sinh(d*x + c)^3 + 4*(7*a^5*cosh(d*x + c)^6 + 15*a^5*cosh(d*x + c)^4 + 9*a^5*cosh(d*x + c)^2 + a^5)*sinh(d*x + c)^2 + 8*(a^5*cosh(d*x + c)^7 + 3*a^5*cosh(d*x + c)^5 + 3*a^5*cosh(d*x + c)^3 + a^5*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))) + 16*(18*a^5*cosh(d*x + c)^5 + 27*a^5*cosh(d*x + c)^3 + 11*a^5*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^8 + 8*d*cosh(d*x + c)*sinh(d*x + c)^7 + d*sinh(d*x + c)^8 + 4*d*cosh(d*x + c)^6 + 4*(7*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^6 + 8*(7*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^5 + 6*d*cosh(d*x + c)^4 + 2*(35*d*cosh(d*x + c)^4 + 30*d*cosh(d*x + c)^2 + 3*d)*sinh(d*x + c)^4 + 8*(7*d*cosh(d*x + c)^5 + 10*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^3 + 4*d*cosh(d*x + c)^2 + 4*(7*d*cosh(d*x + c)^6 + 15*d*cosh(d*x + c)^4 + 9*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 8*(d*cosh(d*x + c)^7 + 3*d*cosh(d*x + c)^5 + 3*d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
42,1,562,0,0.476113," ","integrate((a+a*tanh(d*x+c))^4,x, algorithm=""fricas"")","\frac{4 \, {\left(18 \, a^{4} \cosh\left(d x + c\right)^{4} + 72 \, a^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 18 \, a^{4} \sinh\left(d x + c\right)^{4} + 27 \, a^{4} \cosh\left(d x + c\right)^{2} + 11 \, a^{4} + 27 \, {\left(4 \, a^{4} \cosh\left(d x + c\right)^{2} + a^{4}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(a^{4} \cosh\left(d x + c\right)^{6} + 6 \, a^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + a^{4} \sinh\left(d x + c\right)^{6} + 3 \, a^{4} \cosh\left(d x + c\right)^{4} + 3 \, a^{4} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(d x + c\right)^{2} + a^{4}\right)} \sinh\left(d x + c\right)^{4} + a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(d x + c\right)^{4} + 6 \, a^{4} \cosh\left(d x + c\right)^{2} + a^{4}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(a^{4} \cosh\left(d x + c\right)^{5} + 2 \, a^{4} \cosh\left(d x + c\right)^{3} + a^{4} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 18 \, {\left(4 \, a^{4} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}{3 \, {\left(d \cosh\left(d x + c\right)^{6} + 6 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + d \sinh\left(d x + c\right)^{6} + 3 \, d \cosh\left(d x + c\right)^{4} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{4} + 6 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(d \cosh\left(d x + c\right)^{5} + 2 \, d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"4/3*(18*a^4*cosh(d*x + c)^4 + 72*a^4*cosh(d*x + c)*sinh(d*x + c)^3 + 18*a^4*sinh(d*x + c)^4 + 27*a^4*cosh(d*x + c)^2 + 11*a^4 + 27*(4*a^4*cosh(d*x + c)^2 + a^4)*sinh(d*x + c)^2 + 6*(a^4*cosh(d*x + c)^6 + 6*a^4*cosh(d*x + c)*sinh(d*x + c)^5 + a^4*sinh(d*x + c)^6 + 3*a^4*cosh(d*x + c)^4 + 3*a^4*cosh(d*x + c)^2 + 3*(5*a^4*cosh(d*x + c)^2 + a^4)*sinh(d*x + c)^4 + a^4 + 4*(5*a^4*cosh(d*x + c)^3 + 3*a^4*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*a^4*cosh(d*x + c)^4 + 6*a^4*cosh(d*x + c)^2 + a^4)*sinh(d*x + c)^2 + 6*(a^4*cosh(d*x + c)^5 + 2*a^4*cosh(d*x + c)^3 + a^4*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))) + 18*(4*a^4*cosh(d*x + c)^3 + 3*a^4*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^6 + 6*d*cosh(d*x + c)*sinh(d*x + c)^5 + d*sinh(d*x + c)^6 + 3*d*cosh(d*x + c)^4 + 3*(5*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^4 + 4*(5*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*d*cosh(d*x + c)^2 + 3*(5*d*cosh(d*x + c)^4 + 6*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 6*(d*cosh(d*x + c)^5 + 2*d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
43,1,299,0,0.511550," ","integrate((a+a*tanh(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, a^{3} \cosh\left(d x + c\right)^{2} + 8 \, a^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + 4 \, a^{3} \sinh\left(d x + c\right)^{2} + 3 \, a^{3} + 2 \, {\left(a^{3} \cosh\left(d x + c\right)^{4} + 4 \, a^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a^{3} \sinh\left(d x + c\right)^{4} + 2 \, a^{3} \cosh\left(d x + c\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(d x + c\right)^{2} + a^{3}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(a^{3} \cosh\left(d x + c\right)^{3} + a^{3} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)\right)}}{d \cosh\left(d x + c\right)^{4} + 4 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{4} + 2 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d}"," ",0,"2*(4*a^3*cosh(d*x + c)^2 + 8*a^3*cosh(d*x + c)*sinh(d*x + c) + 4*a^3*sinh(d*x + c)^2 + 3*a^3 + 2*(a^3*cosh(d*x + c)^4 + 4*a^3*cosh(d*x + c)*sinh(d*x + c)^3 + a^3*sinh(d*x + c)^4 + 2*a^3*cosh(d*x + c)^2 + a^3 + 2*(3*a^3*cosh(d*x + c)^2 + a^3)*sinh(d*x + c)^2 + 4*(a^3*cosh(d*x + c)^3 + a^3*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))))/(d*cosh(d*x + c)^4 + 4*d*cosh(d*x + c)*sinh(d*x + c)^3 + d*sinh(d*x + c)^4 + 2*d*cosh(d*x + c)^2 + 2*(3*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 4*(d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
44,1,117,0,0.836142," ","integrate((a+a*tanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(a^{2} + {\left(a^{2} \cosh\left(d x + c\right)^{2} + 2 \, a^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{2} \sinh\left(d x + c\right)^{2} + a^{2}\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)\right)}}{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} + d}"," ",0,"2*(a^2 + (a^2*cosh(d*x + c)^2 + 2*a^2*cosh(d*x + c)*sinh(d*x + c) + a^2*sinh(d*x + c)^2 + a^2)*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2 + d)","B",0
45,1,50,0,0.537118," ","integrate(1/(a+a*tanh(d*x+c)),x, algorithm=""fricas"")","\frac{{\left(2 \, d x - 1\right)} \cosh\left(d x + c\right) + {\left(2 \, d x + 1\right)} \sinh\left(d x + c\right)}{4 \, {\left(a d \cosh\left(d x + c\right) + a d \sinh\left(d x + c\right)\right)}}"," ",0,"1/4*((2*d*x - 1)*cosh(d*x + c) + (2*d*x + 1)*sinh(d*x + c))/(a*d*cosh(d*x + c) + a*d*sinh(d*x + c))","B",0
46,1,101,0,0.474001," ","integrate(1/(a+a*tanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(4 \, d x - 1\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(4 \, d x + 1\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(4 \, d x - 1\right)} \sinh\left(d x + c\right)^{2} - 4}{16 \, {\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,"1/16*((4*d*x - 1)*cosh(d*x + c)^2 + 2*(4*d*x + 1)*cosh(d*x + c)*sinh(d*x + c) + (4*d*x - 1)*sinh(d*x + c)^2 - 4)/(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
47,1,160,0,0.680638," ","integrate(1/(a+a*tanh(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(6 \, d x - 1\right)} \cosh\left(d x + c\right)^{3} + 6 \, {\left(6 \, d x - 1\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + 2 \, {\left(6 \, d x + 1\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(2 \, {\left(6 \, d x + 1\right)} \cosh\left(d x + c\right)^{2} - 3\right)} \sinh\left(d x + c\right) - 27 \, \cosh\left(d x + c\right)}{96 \, {\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,"1/96*(2*(6*d*x - 1)*cosh(d*x + c)^3 + 6*(6*d*x - 1)*cosh(d*x + c)*sinh(d*x + c)^2 + 2*(6*d*x + 1)*sinh(d*x + c)^3 + 3*(2*(6*d*x + 1)*cosh(d*x + c)^2 - 3)*sinh(d*x + c) - 27*cosh(d*x + c))/(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
48,1,220,0,0.550993," ","integrate(1/(a+a*tanh(d*x+c))^4,x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, d x - 1\right)} \cosh\left(d x + c\right)^{4} + 12 \, {\left(8 \, d x + 1\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 3 \, {\left(8 \, d x - 1\right)} \sinh\left(d x + c\right)^{4} + 2 \, {\left(9 \, {\left(8 \, d x - 1\right)} \cosh\left(d x + c\right)^{2} - 32\right)} \sinh\left(d x + c\right)^{2} - 64 \, \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, {\left(8 \, d x + 1\right)} \cosh\left(d x + c\right)^{3} - 16 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - 36}{384 \, {\left(a^{4} d \cosh\left(d x + c\right)^{4} + 4 \, a^{4} d \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, a^{4} d \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, a^{4} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a^{4} d \sinh\left(d x + c\right)^{4}\right)}}"," ",0,"1/384*(3*(8*d*x - 1)*cosh(d*x + c)^4 + 12*(8*d*x + 1)*cosh(d*x + c)*sinh(d*x + c)^3 + 3*(8*d*x - 1)*sinh(d*x + c)^4 + 2*(9*(8*d*x - 1)*cosh(d*x + c)^2 - 32)*sinh(d*x + c)^2 - 64*cosh(d*x + c)^2 + 4*(3*(8*d*x + 1)*cosh(d*x + c)^3 - 16*cosh(d*x + c))*sinh(d*x + c) - 36)/(a^4*d*cosh(d*x + c)^4 + 4*a^4*d*cosh(d*x + c)^3*sinh(d*x + c) + 6*a^4*d*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*a^4*d*cosh(d*x + c)*sinh(d*x + c)^3 + a^4*d*sinh(d*x + c)^4)","B",0
49,1,287,0,0.506594," ","integrate(1/(a+a*tanh(d*x+c))^5,x, algorithm=""fricas"")","\frac{12 \, {\left(10 \, d x - 1\right)} \cosh\left(d x + c\right)^{5} + 60 \, {\left(10 \, d x - 1\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{4} + 12 \, {\left(10 \, d x + 1\right)} \sinh\left(d x + c\right)^{5} + 15 \, {\left(8 \, {\left(10 \, d x + 1\right)} \cosh\left(d x + c\right)^{2} - 15\right)} \sinh\left(d x + c\right)^{3} - 375 \, \cosh\left(d x + c\right)^{3} + 15 \, {\left(8 \, {\left(10 \, d x - 1\right)} \cosh\left(d x + c\right)^{3} - 75 \, \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 5 \, {\left(12 \, {\left(10 \, d x + 1\right)} \cosh\left(d x + c\right)^{4} - 135 \, \cosh\left(d x + c\right)^{2} - 20\right)} \sinh\left(d x + c\right) - 500 \, \cosh\left(d x + c\right)}{3840 \, {\left(a^{5} d \cosh\left(d x + c\right)^{5} + 5 \, a^{5} d \cosh\left(d x + c\right)^{4} \sinh\left(d x + c\right) + 10 \, a^{5} d \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right)^{2} + 10 \, a^{5} d \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{3} + 5 \, a^{5} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{4} + a^{5} d \sinh\left(d x + c\right)^{5}\right)}}"," ",0,"1/3840*(12*(10*d*x - 1)*cosh(d*x + c)^5 + 60*(10*d*x - 1)*cosh(d*x + c)*sinh(d*x + c)^4 + 12*(10*d*x + 1)*sinh(d*x + c)^5 + 15*(8*(10*d*x + 1)*cosh(d*x + c)^2 - 15)*sinh(d*x + c)^3 - 375*cosh(d*x + c)^3 + 15*(8*(10*d*x - 1)*cosh(d*x + c)^3 - 75*cosh(d*x + c))*sinh(d*x + c)^2 + 5*(12*(10*d*x + 1)*cosh(d*x + c)^4 - 135*cosh(d*x + c)^2 - 20)*sinh(d*x + c) - 500*cosh(d*x + c))/(a^5*d*cosh(d*x + c)^5 + 5*a^5*d*cosh(d*x + c)^4*sinh(d*x + c) + 10*a^5*d*cosh(d*x + c)^3*sinh(d*x + c)^2 + 10*a^5*d*cosh(d*x + c)^2*sinh(d*x + c)^3 + 5*a^5*d*cosh(d*x + c)*sinh(d*x + c)^4 + a^5*d*sinh(d*x + c)^5)","B",0
50,1,434,0,0.700320," ","integrate((1+tanh(x))^(7/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, \sqrt{2} {\left(23 \, \sqrt{2} \cosh\left(x\right)^{5} + 115 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{4} + 23 \, \sqrt{2} \sinh\left(x\right)^{5} + 5 \, {\left(46 \, \sqrt{2} \cosh\left(x\right)^{2} + 7 \, \sqrt{2}\right)} \sinh\left(x\right)^{3} + 35 \, \sqrt{2} \cosh\left(x\right)^{3} + 5 \, {\left(46 \, \sqrt{2} \cosh\left(x\right)^{3} + 21 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 5 \, {\left(23 \, \sqrt{2} \cosh\left(x\right)^{4} + 21 \, \sqrt{2} \cosh\left(x\right)^{2} + 3 \, \sqrt{2}\right)} \sinh\left(x\right) + 15 \, \sqrt{2} \cosh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 15 \, {\left(\sqrt{2} \cosh\left(x\right)^{6} + 6 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{2} \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{4} + 3 \, \sqrt{2} \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{4} + 6 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{5} + 2 \, \sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\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} + 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,"-4/15*(2*sqrt(2)*(23*sqrt(2)*cosh(x)^5 + 115*sqrt(2)*cosh(x)*sinh(x)^4 + 23*sqrt(2)*sinh(x)^5 + 5*(46*sqrt(2)*cosh(x)^2 + 7*sqrt(2))*sinh(x)^3 + 35*sqrt(2)*cosh(x)^3 + 5*(46*sqrt(2)*cosh(x)^3 + 21*sqrt(2)*cosh(x))*sinh(x)^2 + 5*(23*sqrt(2)*cosh(x)^4 + 21*sqrt(2)*cosh(x)^2 + 3*sqrt(2))*sinh(x) + 15*sqrt(2)*cosh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 15*(sqrt(2)*cosh(x)^6 + 6*sqrt(2)*cosh(x)*sinh(x)^5 + sqrt(2)*sinh(x)^6 + 3*(5*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^4 + 3*sqrt(2)*cosh(x)^4 + 4*(5*sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x))*sinh(x)^3 + 3*(5*sqrt(2)*cosh(x)^4 + 6*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 3*sqrt(2)*cosh(x)^2 + 6*(sqrt(2)*cosh(x)^5 + 2*sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(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
51,1,252,0,0.542334," ","integrate((1+tanh(x))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \sqrt{2} {\left(4 \, \sqrt{2} \cosh\left(x\right)^{3} + 12 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + 4 \, \sqrt{2} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 3 \, {\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} + 2 \, {\left(3 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\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} + 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,"-2/3*(2*sqrt(2)*(4*sqrt(2)*cosh(x)^3 + 12*sqrt(2)*cosh(x)*sinh(x)^2 + 4*sqrt(2)*sinh(x)^3 + 3*(4*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x) + 3*sqrt(2)*cosh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 3*(sqrt(2)*cosh(x)^4 + 4*sqrt(2)*cosh(x)*sinh(x)^3 + sqrt(2)*sinh(x)^4 + 2*(3*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 2*sqrt(2)*cosh(x)^2 + 4*(sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(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
52,1,129,0,0.468794," ","integrate((1+tanh(x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - {\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} + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}"," ",0,"-(2*sqrt(2)*(sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - (sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
53,1,50,0,0.567499," ","integrate((1+tanh(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)"," ",0,"1/2*sqrt(2)*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1)","B",0
54,1,85,0,0.515930," ","integrate(1/(1+tanh(x))^(1/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right) - 4 \, \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}}}{4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/4*((sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1) - 4*sqrt(cosh(x)/(cosh(x) - sinh(x))))/(cosh(x) + sinh(x))","B",0
55,1,166,0,0.439923," ","integrate(1/(1+tanh(x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(4 \, \sqrt{2} \cosh\left(x\right)^{2} + 8 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + 4 \, \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 3 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} \sinh\left(x\right)^{3}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{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*(2*sqrt(2)*(4*sqrt(2)*cosh(x)^2 + 8*sqrt(2)*cosh(x)*sinh(x) + 4*sqrt(2)*sinh(x)^2 + sqrt(2))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 3*(sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x)^2*sinh(x) + 3*sqrt(2)*cosh(x)*sinh(x)^2 + sqrt(2)*sinh(x)^3)*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
56,1,266,0,0.700711," ","integrate(1/(1+tanh(x))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(23 \, \sqrt{2} \cosh\left(x\right)^{4} + 92 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + 23 \, \sqrt{2} \sinh\left(x\right)^{4} + {\left(138 \, \sqrt{2} \cosh\left(x\right)^{2} + 11 \, \sqrt{2}\right)} \sinh\left(x\right)^{2} + 11 \, \sqrt{2} \cosh\left(x\right)^{2} + 2 \, {\left(46 \, \sqrt{2} \cosh\left(x\right)^{3} + 11 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + 3 \, \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 15 \, {\left(\sqrt{2} \cosh\left(x\right)^{5} + 5 \, \sqrt{2} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, \sqrt{2} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, \sqrt{2} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{4} + \sqrt{2} \sinh\left(x\right)^{5}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{240 \, {\left(\cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5}\right)}}"," ",0,"-1/240*(2*sqrt(2)*(23*sqrt(2)*cosh(x)^4 + 92*sqrt(2)*cosh(x)*sinh(x)^3 + 23*sqrt(2)*sinh(x)^4 + (138*sqrt(2)*cosh(x)^2 + 11*sqrt(2))*sinh(x)^2 + 11*sqrt(2)*cosh(x)^2 + 2*(46*sqrt(2)*cosh(x)^3 + 11*sqrt(2)*cosh(x))*sinh(x) + 3*sqrt(2))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 15*(sqrt(2)*cosh(x)^5 + 5*sqrt(2)*cosh(x)^4*sinh(x) + 10*sqrt(2)*cosh(x)^3*sinh(x)^2 + 10*sqrt(2)*cosh(x)^2*sinh(x)^3 + 5*sqrt(2)*cosh(x)*sinh(x)^4 + sqrt(2)*sinh(x)^5)*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^5 + 5*cosh(x)^4*sinh(x) + 10*cosh(x)^3*sinh(x)^2 + 10*cosh(x)^2*sinh(x)^3 + 5*cosh(x)*sinh(x)^4 + sinh(x)^5)","B",0
57,1,2739,0,0.521317," ","integrate((a+b*tanh(d*x+c))^5,x, algorithm=""fricas"")","\frac{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)} d x \cosh\left(d x + c\right)^{8} + 24 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + 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)} d x \sinh\left(d x + c\right)^{8} + 12 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)^{6} + 12 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5} + 7 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right)^{2} + {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x\right)} \sinh\left(d x + c\right)^{6} + 24 \, {\left(7 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 60 \, a^{3} b^{2} + 40 \, a b^{4} + 6 \, {\left(30 \, a^{3} b^{2} + 20 \, a^{2} b^{3} + 20 \, a b^{4} + 2 \, 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)} d x\right)} \cosh\left(d x + c\right)^{4} + 6 \, {\left(35 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right)^{4} + 30 \, a^{3} b^{2} + 20 \, a^{2} b^{3} + 20 \, a b^{4} + 2 \, 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)} d x + 30 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + 24 \, {\left(7 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right)^{5} + 10 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)^{3} + {\left(30 \, a^{3} b^{2} + 20 \, a^{2} b^{3} + 20 \, a b^{4} + 2 \, 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)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{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)} d x + 4 \, {\left(45 \, a^{3} b^{2} + 15 \, a^{2} b^{3} + 25 \, a b^{4} + 3 \, 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)} d x\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(21 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} d x \cosh\left(d x + c\right)^{6} + 45 \, a^{3} b^{2} + 15 \, a^{2} b^{3} + 25 \, a b^{4} + 3 \, b^{5} + 45 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)^{4} + 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)} d x + 9 \, {\left(30 \, a^{3} b^{2} + 20 \, a^{2} b^{3} + 20 \, a b^{4} + 2 \, 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)} d x\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 3 \, {\left({\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{8} + 8 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(d x + c\right)^{8} + 4 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{6} + 4 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5} + 7 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{6} + 8 \, {\left(7 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5} + 6 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{4} + 2 \, {\left(15 \, a^{4} b + 30 \, a^{2} b^{3} + 3 \, b^{5} + 35 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{4} + 30 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + 8 \, {\left(7 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{5} + 10 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 4 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(7 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{6} + 5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5} + 15 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{4} + 9 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left({\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{7} + 3 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{5} + 3 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)^{3} + {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 8 \, {\left(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)} d x \cosh\left(d x + c\right)^{7} + 9 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{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)} d x\right)} \cosh\left(d x + c\right)^{5} + 3 \, {\left(30 \, a^{3} b^{2} + 20 \, a^{2} b^{3} + 20 \, a b^{4} + 2 \, 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)} d x\right)} \cosh\left(d x + c\right)^{3} + {\left(45 \, a^{3} b^{2} + 15 \, a^{2} b^{3} + 25 \, a b^{4} + 3 \, 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)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{3 \, {\left(d \cosh\left(d x + c\right)^{8} + 8 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{7} + d \sinh\left(d x + c\right)^{8} + 4 \, d \cosh\left(d x + c\right)^{6} + 4 \, {\left(7 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{6} + 8 \, {\left(7 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 6 \, d \cosh\left(d x + c\right)^{4} + 2 \, {\left(35 \, d \cosh\left(d x + c\right)^{4} + 30 \, d \cosh\left(d x + c\right)^{2} + 3 \, d\right)} \sinh\left(d x + c\right)^{4} + 8 \, {\left(7 \, d \cosh\left(d x + c\right)^{5} + 10 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 4 \, d \cosh\left(d x + c\right)^{2} + 4 \, {\left(7 \, d \cosh\left(d x + c\right)^{6} + 15 \, d \cosh\left(d x + c\right)^{4} + 9 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left(d \cosh\left(d x + c\right)^{7} + 3 \, d \cosh\left(d x + c\right)^{5} + 3 \, d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"1/3*(3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^8 + 24*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)*sinh(d*x + c)^7 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*sinh(d*x + c)^8 + 12*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c)^6 + 12*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + 7*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^2 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*sinh(d*x + c)^6 + 24*(7*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^3 + 3*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c))*sinh(d*x + c)^5 + 60*a^3*b^2 + 40*a*b^4 + 6*(30*a^3*b^2 + 20*a^2*b^3 + 20*a*b^4 + 2*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)*d*x)*cosh(d*x + c)^4 + 6*(35*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^4 + 30*a^3*b^2 + 20*a^2*b^3 + 20*a*b^4 + 2*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)*d*x + 30*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 24*(7*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^5 + 10*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c)^3 + (30*a^3*b^2 + 20*a^2*b^3 + 20*a*b^4 + 2*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)*d*x)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x + 4*(45*a^3*b^2 + 15*a^2*b^3 + 25*a*b^4 + 3*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)*d*x)*cosh(d*x + c)^2 + 4*(21*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^6 + 45*a^3*b^2 + 15*a^2*b^3 + 25*a*b^4 + 3*b^5 + 45*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c)^4 + 3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x + 9*(30*a^3*b^2 + 20*a^2*b^3 + 20*a*b^4 + 2*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)*d*x)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 3*((5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^8 + 8*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)*sinh(d*x + c)^7 + (5*a^4*b + 10*a^2*b^3 + b^5)*sinh(d*x + c)^8 + 4*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^6 + 4*(5*a^4*b + 10*a^2*b^3 + b^5 + 7*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^2)*sinh(d*x + c)^6 + 8*(7*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^3 + 3*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c))*sinh(d*x + c)^5 + 5*a^4*b + 10*a^2*b^3 + b^5 + 6*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^4 + 2*(15*a^4*b + 30*a^2*b^3 + 3*b^5 + 35*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^4 + 30*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 8*(7*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^5 + 10*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^3 + 3*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c))*sinh(d*x + c)^3 + 4*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^2 + 4*(7*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^6 + 5*a^4*b + 10*a^2*b^3 + b^5 + 15*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^4 + 9*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 8*((5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^7 + 3*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^5 + 3*(5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c)^3 + (5*a^4*b + 10*a^2*b^3 + b^5)*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))) + 8*(3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x*cosh(d*x + c)^7 + 9*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5 + (a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*d*x)*cosh(d*x + c)^5 + 3*(30*a^3*b^2 + 20*a^2*b^3 + 20*a*b^4 + 2*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)*d*x)*cosh(d*x + c)^3 + (45*a^3*b^2 + 15*a^2*b^3 + 25*a*b^4 + 3*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)*d*x)*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^8 + 8*d*cosh(d*x + c)*sinh(d*x + c)^7 + d*sinh(d*x + c)^8 + 4*d*cosh(d*x + c)^6 + 4*(7*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^6 + 8*(7*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^5 + 6*d*cosh(d*x + c)^4 + 2*(35*d*cosh(d*x + c)^4 + 30*d*cosh(d*x + c)^2 + 3*d)*sinh(d*x + c)^4 + 8*(7*d*cosh(d*x + c)^5 + 10*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^3 + 4*d*cosh(d*x + c)^2 + 4*(7*d*cosh(d*x + c)^6 + 15*d*cosh(d*x + c)^4 + 9*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 8*(d*cosh(d*x + c)^7 + 3*d*cosh(d*x + c)^5 + 3*d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
58,1,1389,0,0.831483," ","integrate((a+b*tanh(d*x+c))^4,x, algorithm=""fricas"")","\frac{3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right)^{6} + 18 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \sinh\left(d x + c\right)^{6} + 3 \, {\left(12 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(15 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right)^{2} + 12 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \sinh\left(d x + c\right)^{4} + 36 \, a^{2} b^{2} + 8 \, b^{4} + 12 \, {\left(5 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right)^{3} + {\left(12 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x + 3 \, {\left(24 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(15 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right)^{4} + 24 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x + 6 \, {\left(12 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 12 \, {\left({\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{6} + 6 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + {\left(a^{3} b + a b^{3}\right)} \sinh\left(d x + c\right)^{6} + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(a^{3} b + a b^{3} + 5 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + a^{3} b + a b^{3} + 4 \, {\left(5 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{4} + a^{3} b + a b^{3} + 6 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left({\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{5} + 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 6 \, {\left(3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x \cosh\left(d x + c\right)^{5} + 2 \, {\left(12 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)^{3} + {\left(24 \, a^{2} b^{2} + 8 \, a b^{3} + 4 \, b^{4} + 3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{3 \, {\left(d \cosh\left(d x + c\right)^{6} + 6 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + d \sinh\left(d x + c\right)^{6} + 3 \, d \cosh\left(d x + c\right)^{4} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, d \cosh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{4} + 6 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(d \cosh\left(d x + c\right)^{5} + 2 \, d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"1/3*(3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)^6 + 18*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)*sinh(d*x + c)^5 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*sinh(d*x + c)^6 + 3*(12*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c)^4 + 3*(15*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)^2 + 12*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*sinh(d*x + c)^4 + 36*a^2*b^2 + 8*b^4 + 12*(5*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)^3 + (12*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x + 3*(24*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c)^2 + 3*(15*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)^4 + 24*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x + 6*(12*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 12*((a^3*b + a*b^3)*cosh(d*x + c)^6 + 6*(a^3*b + a*b^3)*cosh(d*x + c)*sinh(d*x + c)^5 + (a^3*b + a*b^3)*sinh(d*x + c)^6 + 3*(a^3*b + a*b^3)*cosh(d*x + c)^4 + 3*(a^3*b + a*b^3 + 5*(a^3*b + a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + a^3*b + a*b^3 + 4*(5*(a^3*b + a*b^3)*cosh(d*x + c)^3 + 3*(a^3*b + a*b^3)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(a^3*b + a*b^3)*cosh(d*x + c)^2 + 3*(5*(a^3*b + a*b^3)*cosh(d*x + c)^4 + a^3*b + a*b^3 + 6*(a^3*b + a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 6*((a^3*b + a*b^3)*cosh(d*x + c)^5 + 2*(a^3*b + a*b^3)*cosh(d*x + c)^3 + (a^3*b + a*b^3)*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))) + 6*(3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x*cosh(d*x + c)^5 + 2*(12*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c)^3 + (24*a^2*b^2 + 8*a*b^3 + 4*b^4 + 3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*d*x)*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^6 + 6*d*cosh(d*x + c)*sinh(d*x + c)^5 + d*sinh(d*x + c)^6 + 3*d*cosh(d*x + c)^4 + 3*(5*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^4 + 4*(5*d*cosh(d*x + c)^3 + 3*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*d*cosh(d*x + c)^2 + 3*(5*d*cosh(d*x + c)^4 + 6*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 6*(d*cosh(d*x + c)^5 + 2*d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
59,1,646,0,0.616735," ","integrate((a+b*tanh(d*x+c))^3,x, algorithm=""fricas"")","\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x \cosh\left(d x + c\right)^{4} + 4 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x \sinh\left(d x + c\right)^{4} + 6 \, a b^{2} + {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x + 2 \, {\left(3 \, a b^{2} + b^{3} + {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x \cosh\left(d x + c\right)^{2} + 3 \, a b^{2} + b^{3} + {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x\right)} \sinh\left(d x + c\right)^{2} + {\left({\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(3 \, a^{2} b + b^{3}\right)} \sinh\left(d x + c\right)^{4} + 3 \, a^{2} b + b^{3} + 2 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, a^{2} b + b^{3} + 3 \, {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left({\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{3} + {\left(3 \, a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 4 \, {\left({\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x \cosh\left(d x + c\right)^{3} + {\left(3 \, a b^{2} + b^{3} + {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{d \cosh\left(d x + c\right)^{4} + 4 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{4} + 2 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d}"," ",0,"((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x*cosh(d*x + c)^4 + 4*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x*cosh(d*x + c)*sinh(d*x + c)^3 + (a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x*sinh(d*x + c)^4 + 6*a*b^2 + (a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x + 2*(3*a*b^2 + b^3 + (a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x)*cosh(d*x + c)^2 + 2*(3*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x*cosh(d*x + c)^2 + 3*a*b^2 + b^3 + (a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x)*sinh(d*x + c)^2 + ((3*a^2*b + b^3)*cosh(d*x + c)^4 + 4*(3*a^2*b + b^3)*cosh(d*x + c)*sinh(d*x + c)^3 + (3*a^2*b + b^3)*sinh(d*x + c)^4 + 3*a^2*b + b^3 + 2*(3*a^2*b + b^3)*cosh(d*x + c)^2 + 2*(3*a^2*b + b^3 + 3*(3*a^2*b + b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 4*((3*a^2*b + b^3)*cosh(d*x + c)^3 + (3*a^2*b + b^3)*cosh(d*x + c))*sinh(d*x + c))*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))) + 4*((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x*cosh(d*x + c)^3 + (3*a*b^2 + b^3 + (a^3 - 3*a^2*b + 3*a*b^2 - b^3)*d*x)*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^4 + 4*d*cosh(d*x + c)*sinh(d*x + c)^3 + d*sinh(d*x + c)^4 + 2*d*cosh(d*x + c)^2 + 2*(3*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 4*(d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
60,1,201,0,0.572445," ","integrate((a+b*tanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{2} - 2 \, a b + b^{2}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - 2 \, a b + b^{2}\right)} d x \sinh\left(d x + c\right)^{2} + {\left(a^{2} - 2 \, a b + b^{2}\right)} d x + 2 \, b^{2} + 2 \, {\left(a b \cosh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b \sinh\left(d x + c\right)^{2} + a b\right)} \log\left(\frac{2 \, \cosh\left(d x + c\right)}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{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} + d}"," ",0,"((a^2 - 2*a*b + b^2)*d*x*cosh(d*x + c)^2 + 2*(a^2 - 2*a*b + b^2)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^2 - 2*a*b + b^2)*d*x*sinh(d*x + c)^2 + (a^2 - 2*a*b + b^2)*d*x + 2*b^2 + 2*(a*b*cosh(d*x + c)^2 + 2*a*b*cosh(d*x + c)*sinh(d*x + c) + a*b*sinh(d*x + c)^2 + a*b)*log(2*cosh(d*x + c)/(cosh(d*x + c) - sinh(d*x + c))))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2 + d)","B",0
61,1,62,0,0.524110," ","integrate(1/(a+b*tanh(d*x+c)),x, algorithm=""fricas"")","\frac{{\left(a + b\right)} d x - b \log\left(\frac{2 \, {\left(a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{{\left(a^{2} - b^{2}\right)} d}"," ",0,"((a + b)*d*x - b*log(2*(a*cosh(d*x + c) + b*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))))/((a^2 - b^2)*d)","A",0
62,1,422,0,0.494896," ","integrate(1/(a+b*tanh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d x \sinh\left(d x + c\right)^{2} + 2 \, a b^{2} - 2 \, b^{3} + {\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} d x - 2 \, {\left(a^{2} b - a b^{2} + {\left(a^{2} b + a b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} b + a b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} b + a b^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \log\left(\frac{2 \, {\left(a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{{\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} d \cosh\left(d x + c\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)} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} d \sinh\left(d x + c\right)^{2} + {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} d}"," ",0,"((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*d*x*cosh(d*x + c)^2 + 2*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*d*x*cosh(d*x + c)*sinh(d*x + c) + (a^3 + 3*a^2*b + 3*a*b^2 + b^3)*d*x*sinh(d*x + c)^2 + 2*a*b^2 - 2*b^3 + (a^3 + a^2*b - a*b^2 - b^3)*d*x - 2*(a^2*b - a*b^2 + (a^2*b + a*b^2)*cosh(d*x + c)^2 + 2*(a^2*b + a*b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2*b + a*b^2)*sinh(d*x + c)^2)*log(2*(a*cosh(d*x + c) + b*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))))/((a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*d*cosh(d*x + c)^2 + 2*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*d*cosh(d*x + c)*sinh(d*x + c) + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*d*sinh(d*x + c)^2 + (a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*d)","B",0
63,1,1427,0,0.651296," ","integrate(1/(a+b*tanh(d*x+c))^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)} d x \cosh\left(d x + c\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)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\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)} d x \sinh\left(d x + c\right)^{4} + 6 \, a^{3} b^{2} - 12 \, a^{2} b^{3} + 6 \, 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)} d x + 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)} d x\right)} \cosh\left(d x + c\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)} d x \cosh\left(d x + c\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)} d x\right)} \sinh\left(d x + c\right)^{2} - {\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(d x + c\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(d x + c\right) \sinh\left(d x + c\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(d x + c\right)^{4} + 2 \, {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\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(d x + c\right)^{2}\right)} \sinh\left(d x + c\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(d x + c\right)^{3} + {\left(3 \, a^{4} b - 2 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\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)} d x \cosh\left(d x + c\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)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{{\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)} d \cosh\left(d x + c\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)} d \cosh\left(d x + c\right) \sinh\left(d x + c\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)} d \sinh\left(d x + c\right)^{4} + 2 \, {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 2 \, {\left(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)} d \cosh\left(d x + c\right)^{2} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\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)} d + 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)} d \cosh\left(d x + c\right)^{3} + {\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, 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)}"," ",0,"((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*d*x*cosh(d*x + c)^4 + 4*(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*d*x*cosh(d*x + c)*sinh(d*x + c)^3 + (a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*d*x*sinh(d*x + c)^4 + 6*a^3*b^2 - 12*a^2*b^3 + 6*a*b^4 + (a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*d*x + 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)*d*x)*cosh(d*x + c)^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)*d*x*cosh(d*x + c)^2 + (a^5 + 3*a^4*b + 2*a^3*b^2 - 2*a^2*b^3 - 3*a*b^4 - b^5)*d*x)*sinh(d*x + c)^2 - (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(d*x + c)^4 + 4*(3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(d*x + c)*sinh(d*x + c)^3 + (3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*sinh(d*x + c)^4 + 2*(3*a^4*b - 2*a^2*b^3 - b^5)*cosh(d*x + c)^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(d*x + c)^2)*sinh(d*x + c)^2 + 4*((3*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + 2*a*b^4 + b^5)*cosh(d*x + c)^3 + (3*a^4*b - 2*a^2*b^3 - b^5)*cosh(d*x + c))*sinh(d*x + c))*log(2*(a*cosh(d*x + c) + b*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))) + 4*((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*d*x*cosh(d*x + c)^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)*d*x)*cosh(d*x + c))*sinh(d*x + c))/((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)*d*cosh(d*x + c)^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)*d*cosh(d*x + c)*sinh(d*x + c)^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)*d*sinh(d*x + c)^4 + 2*(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*d*cosh(d*x + c)^2 + 2*(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)*d*cosh(d*x + c)^2 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*d)*sinh(d*x + c)^2 + (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)*d + 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)*d*cosh(d*x + c)^3 + (a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*d*cosh(d*x + c))*sinh(d*x + c))","B",0
64,1,3693,0,0.611529," ","integrate(1/(a+b*tanh(d*x+c))^4,x, algorithm=""fricas"")","\frac{3 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right)^{6} + 18 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + 3 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \sinh\left(d x + c\right)^{6} + 36 \, a^{5} b^{2} - 108 \, a^{4} b^{3} + 116 \, a^{3} b^{4} - 60 \, a^{2} b^{5} + 24 \, a b^{6} - 8 \, b^{7} + 3 \, {\left(12 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 16 \, a^{3} b^{4} + 4 \, a b^{6} - 4 \, b^{7} + 3 \, {\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}\right)} d x\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(12 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 16 \, a^{3} b^{4} + 4 \, a b^{6} - 4 \, b^{7} + 15 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right)^{2} + 3 \, {\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}\right)} d x\right)} \sinh\left(d x + c\right)^{4} + 12 \, {\left(5 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right)^{3} + {\left(12 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 16 \, a^{3} b^{4} + 4 \, a b^{6} - 4 \, b^{7} + 3 \, {\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}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\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)} d x + 3 \, {\left(24 \, a^{5} b^{2} - 32 \, a^{4} b^{3} - 12 \, a^{3} b^{4} + 28 \, a^{2} b^{5} - 12 \, a b^{6} + 4 \, b^{7} + 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)} d x\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(24 \, a^{5} b^{2} - 32 \, a^{4} b^{3} - 12 \, a^{3} b^{4} + 28 \, a^{2} b^{5} - 12 \, a b^{6} + 4 \, b^{7} + 15 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right)^{4} + 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)} d x + 6 \, {\left(12 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 16 \, a^{3} b^{4} + 4 \, a b^{6} - 4 \, b^{7} + 3 \, {\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}\right)} d x\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} - 12 \, {\left(a^{6} b - 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} + {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{6} + 6 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \sinh\left(d x + c\right)^{6} + 3 \, {\left(a^{6} b + a^{5} b^{2} - a^{2} b^{5} - a b^{6}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(a^{6} b + a^{5} b^{2} - a^{2} b^{5} - a b^{6} + 5 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{6} b + a^{5} b^{2} - a^{2} b^{5} - a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(a^{6} b - a^{5} b^{2} - a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(a^{6} b - a^{5} b^{2} - a^{2} b^{5} + a b^{6} + 5 \, {\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{4} + 6 \, {\left(a^{6} b + a^{5} b^{2} - a^{2} b^{5} - a b^{6}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left({\left(a^{6} b + 3 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + 4 \, a^{3} b^{4} + 3 \, a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)^{5} + 2 \, {\left(a^{6} b + a^{5} b^{2} - a^{2} b^{5} - a b^{6}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{6} b - a^{5} b^{2} - a^{2} b^{5} + a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 6 \, {\left(3 \, {\left(a^{7} + 7 \, a^{6} b + 21 \, a^{5} b^{2} + 35 \, a^{4} b^{3} + 35 \, a^{3} b^{4} + 21 \, a^{2} b^{5} + 7 \, a b^{6} + b^{7}\right)} d x \cosh\left(d x + c\right)^{5} + 2 \, {\left(12 \, a^{5} b^{2} + 4 \, a^{4} b^{3} - 16 \, a^{3} b^{4} + 4 \, a b^{6} - 4 \, b^{7} + 3 \, {\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}\right)} d x\right)} \cosh\left(d x + c\right)^{3} + {\left(24 \, a^{5} b^{2} - 32 \, a^{4} b^{3} - 12 \, a^{3} b^{4} + 28 \, a^{2} b^{5} - 12 \, a b^{6} + 4 \, b^{7} + 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)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{3 \, {\left({\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{6} + 6 \, {\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + {\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \sinh\left(d x + c\right)^{6} + 3 \, {\left(a^{11} + a^{10} b - 5 \, a^{9} b^{2} - 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} + 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} - 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} + 5 \, a^{2} b^{9} - a b^{10} - b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 3 \, {\left(5 \, {\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{11} + a^{10} b - 5 \, a^{9} b^{2} - 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} + 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} - 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} + 5 \, a^{2} b^{9} - a b^{10} - b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{4} + 3 \, {\left(a^{11} - a^{10} b - 5 \, a^{9} b^{2} + 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} - 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} + 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} - 5 \, a^{2} b^{9} - a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left(5 \, {\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{11} + a^{10} b - 5 \, a^{9} b^{2} - 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} + 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} - 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} + 5 \, a^{2} b^{9} - a b^{10} - b^{11}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(5 \, {\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{4} + 6 \, {\left(a^{11} + a^{10} b - 5 \, a^{9} b^{2} - 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} + 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} - 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} + 5 \, a^{2} b^{9} - a b^{10} - b^{11}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{11} - a^{10} b - 5 \, a^{9} b^{2} + 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} - 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} + 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} - 5 \, a^{2} b^{9} - a b^{10} + b^{11}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{11} - 3 \, a^{10} b - a^{9} b^{2} + 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} - 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} + 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} + a^{2} b^{9} + 3 \, a b^{10} - b^{11}\right)} d + 6 \, {\left({\left(a^{11} + 3 \, a^{10} b - a^{9} b^{2} - 11 \, a^{8} b^{3} - 6 \, a^{7} b^{4} + 14 \, a^{6} b^{5} + 14 \, a^{5} b^{6} - 6 \, a^{4} b^{7} - 11 \, a^{3} b^{8} - a^{2} b^{9} + 3 \, a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)^{5} + 2 \, {\left(a^{11} + a^{10} b - 5 \, a^{9} b^{2} - 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} + 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} - 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} + 5 \, a^{2} b^{9} - a b^{10} - b^{11}\right)} d \cosh\left(d x + c\right)^{3} + {\left(a^{11} - a^{10} b - 5 \, a^{9} b^{2} + 5 \, a^{8} b^{3} + 10 \, a^{7} b^{4} - 10 \, a^{6} b^{5} - 10 \, a^{5} b^{6} + 10 \, a^{4} b^{7} + 5 \, a^{3} b^{8} - 5 \, a^{2} b^{9} - a b^{10} + b^{11}\right)} d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"1/3*(3*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)^6 + 18*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)*sinh(d*x + c)^5 + 3*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*sinh(d*x + c)^6 + 36*a^5*b^2 - 108*a^4*b^3 + 116*a^3*b^4 - 60*a^2*b^5 + 24*a*b^6 - 8*b^7 + 3*(12*a^5*b^2 + 4*a^4*b^3 - 16*a^3*b^4 + 4*a*b^6 - 4*b^7 + 3*(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)*d*x)*cosh(d*x + c)^4 + 3*(12*a^5*b^2 + 4*a^4*b^3 - 16*a^3*b^4 + 4*a*b^6 - 4*b^7 + 15*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)^2 + 3*(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)*d*x)*sinh(d*x + c)^4 + 12*(5*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)^3 + (12*a^5*b^2 + 4*a^4*b^3 - 16*a^3*b^4 + 4*a*b^6 - 4*b^7 + 3*(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)*d*x)*cosh(d*x + c))*sinh(d*x + c)^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)*d*x + 3*(24*a^5*b^2 - 32*a^4*b^3 - 12*a^3*b^4 + 28*a^2*b^5 - 12*a*b^6 + 4*b^7 + 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)*d*x)*cosh(d*x + c)^2 + 3*(24*a^5*b^2 - 32*a^4*b^3 - 12*a^3*b^4 + 28*a^2*b^5 - 12*a*b^6 + 4*b^7 + 15*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)^4 + 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)*d*x + 6*(12*a^5*b^2 + 4*a^4*b^3 - 16*a^3*b^4 + 4*a*b^6 - 4*b^7 + 3*(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)*d*x)*cosh(d*x + c)^2)*sinh(d*x + c)^2 - 12*(a^6*b - 3*a^5*b^2 + 4*a^4*b^3 - 4*a^3*b^4 + 3*a^2*b^5 - a*b^6 + (a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)^6 + 6*(a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)*sinh(d*x + c)^5 + (a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*sinh(d*x + c)^6 + 3*(a^6*b + a^5*b^2 - a^2*b^5 - a*b^6)*cosh(d*x + c)^4 + 3*(a^6*b + a^5*b^2 - a^2*b^5 - a*b^6 + 5*(a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)^2)*sinh(d*x + c)^4 + 4*(5*(a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)^3 + 3*(a^6*b + a^5*b^2 - a^2*b^5 - a*b^6)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(a^6*b - a^5*b^2 - a^2*b^5 + a*b^6)*cosh(d*x + c)^2 + 3*(a^6*b - a^5*b^2 - a^2*b^5 + a*b^6 + 5*(a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)^4 + 6*(a^6*b + a^5*b^2 - a^2*b^5 - a*b^6)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 6*((a^6*b + 3*a^5*b^2 + 4*a^4*b^3 + 4*a^3*b^4 + 3*a^2*b^5 + a*b^6)*cosh(d*x + c)^5 + 2*(a^6*b + a^5*b^2 - a^2*b^5 - a*b^6)*cosh(d*x + c)^3 + (a^6*b - a^5*b^2 - a^2*b^5 + a*b^6)*cosh(d*x + c))*sinh(d*x + c))*log(2*(a*cosh(d*x + c) + b*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))) + 6*(3*(a^7 + 7*a^6*b + 21*a^5*b^2 + 35*a^4*b^3 + 35*a^3*b^4 + 21*a^2*b^5 + 7*a*b^6 + b^7)*d*x*cosh(d*x + c)^5 + 2*(12*a^5*b^2 + 4*a^4*b^3 - 16*a^3*b^4 + 4*a*b^6 - 4*b^7 + 3*(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)*d*x)*cosh(d*x + c)^3 + (24*a^5*b^2 - 32*a^4*b^3 - 12*a^3*b^4 + 28*a^2*b^5 - 12*a*b^6 + 4*b^7 + 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)*d*x)*cosh(d*x + c))*sinh(d*x + c))/((a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)^6 + 6*(a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)*sinh(d*x + c)^5 + (a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*sinh(d*x + c)^6 + 3*(a^11 + a^10*b - 5*a^9*b^2 - 5*a^8*b^3 + 10*a^7*b^4 + 10*a^6*b^5 - 10*a^5*b^6 - 10*a^4*b^7 + 5*a^3*b^8 + 5*a^2*b^9 - a*b^10 - b^11)*d*cosh(d*x + c)^4 + 3*(5*(a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)^2 + (a^11 + a^10*b - 5*a^9*b^2 - 5*a^8*b^3 + 10*a^7*b^4 + 10*a^6*b^5 - 10*a^5*b^6 - 10*a^4*b^7 + 5*a^3*b^8 + 5*a^2*b^9 - a*b^10 - b^11)*d)*sinh(d*x + c)^4 + 3*(a^11 - a^10*b - 5*a^9*b^2 + 5*a^8*b^3 + 10*a^7*b^4 - 10*a^6*b^5 - 10*a^5*b^6 + 10*a^4*b^7 + 5*a^3*b^8 - 5*a^2*b^9 - a*b^10 + b^11)*d*cosh(d*x + c)^2 + 4*(5*(a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)^3 + 3*(a^11 + a^10*b - 5*a^9*b^2 - 5*a^8*b^3 + 10*a^7*b^4 + 10*a^6*b^5 - 10*a^5*b^6 - 10*a^4*b^7 + 5*a^3*b^8 + 5*a^2*b^9 - a*b^10 - b^11)*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(5*(a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)^4 + 6*(a^11 + a^10*b - 5*a^9*b^2 - 5*a^8*b^3 + 10*a^7*b^4 + 10*a^6*b^5 - 10*a^5*b^6 - 10*a^4*b^7 + 5*a^3*b^8 + 5*a^2*b^9 - a*b^10 - b^11)*d*cosh(d*x + c)^2 + (a^11 - a^10*b - 5*a^9*b^2 + 5*a^8*b^3 + 10*a^7*b^4 - 10*a^6*b^5 - 10*a^5*b^6 + 10*a^4*b^7 + 5*a^3*b^8 - 5*a^2*b^9 - a*b^10 + b^11)*d)*sinh(d*x + c)^2 + (a^11 - 3*a^10*b - a^9*b^2 + 11*a^8*b^3 - 6*a^7*b^4 - 14*a^6*b^5 + 14*a^5*b^6 + 6*a^4*b^7 - 11*a^3*b^8 + a^2*b^9 + 3*a*b^10 - b^11)*d + 6*((a^11 + 3*a^10*b - a^9*b^2 - 11*a^8*b^3 - 6*a^7*b^4 + 14*a^6*b^5 + 14*a^5*b^6 - 6*a^4*b^7 - 11*a^3*b^8 - a^2*b^9 + 3*a*b^10 + b^11)*d*cosh(d*x + c)^5 + 2*(a^11 + a^10*b - 5*a^9*b^2 - 5*a^8*b^3 + 10*a^7*b^4 + 10*a^6*b^5 - 10*a^5*b^6 - 10*a^4*b^7 + 5*a^3*b^8 + 5*a^2*b^9 - a*b^10 - b^11)*d*cosh(d*x + c)^3 + (a^11 - a^10*b - 5*a^9*b^2 + 5*a^8*b^3 + 10*a^7*b^4 - 10*a^6*b^5 - 10*a^5*b^6 + 10*a^4*b^7 + 5*a^3*b^8 - 5*a^2*b^9 - a*b^10 + b^11)*d*cosh(d*x + c))*sinh(d*x + c))","B",0
65,1,49,0,0.513352," ","integrate(1/(4+6*tanh(d*x+c)),x, algorithm=""fricas"")","-\frac{5 \, d x - 3 \, \log\left(\frac{2 \, {\left(2 \, \cosh\left(d x + c\right) + 3 \, \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{10 \, d}"," ",0,"-1/10*(5*d*x - 3*log(2*(2*cosh(d*x + c) + 3*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))))/d","A",0
66,1,48,0,0.526962," ","integrate(1/(4-6*tanh(d*x+c)),x, algorithm=""fricas"")","\frac{d x - 3 \, \log\left(-\frac{2 \, {\left(2 \, \cosh\left(d x + c\right) - 3 \, \sinh\left(d x + c\right)\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right)}{10 \, d}"," ",0,"1/10*(d*x - 3*log(-2*(2*cosh(d*x + c) - 3*sinh(d*x + c))/(cosh(d*x + c) - sinh(d*x + c))))/d","A",0
67,1,2203,0,0.770200," ","integrate((a+b*tanh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a + b} \log\left(2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{4} + 8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + a^{2} + a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - b^{2} + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(a + b\right)} \sinh\left(d x + c\right)^{4} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, a + b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a\right)} \sqrt{a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right) + \sqrt{a - b} \log\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(2 \, a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, a^{2} - 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - 4 \, a b + 2 \, b^{2} - 2 \, {\left(a \cosh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{4} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, a \cosh\left(d x + c\right)^{2} + 2 \, a - b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, a \cosh\left(d x + c\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a - b\right)} \sqrt{a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 4 \, {\left({\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, d}, -\frac{2 \, \sqrt{-a - b} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)^{2} + a\right)} \sqrt{-a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - b^{2}}\right) - \sqrt{a - b} \log\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(2 \, a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, a^{2} - 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - 4 \, a b + 2 \, b^{2} - 2 \, {\left(a \cosh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{4} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, a \cosh\left(d x + c\right)^{2} + 2 \, a - b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, a \cosh\left(d x + c\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a - b\right)} \sqrt{a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 4 \, {\left({\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, d}, -\frac{2 \, \sqrt{-a + b} \arctan\left(-\frac{{\left(a \cosh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a \sinh\left(d x + c\right)^{2} + a - b\right)} \sqrt{-a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - 2 \, a b + b^{2}}\right) - \sqrt{a + b} \log\left(2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{4} + 8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + a^{2} + a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - b^{2} + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(a + b\right)} \sinh\left(d x + c\right)^{4} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, a + b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a\right)} \sqrt{a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}{4 \, d}, -\frac{\sqrt{-a + b} \arctan\left(-\frac{{\left(a \cosh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a \sinh\left(d x + c\right)^{2} + a - b\right)} \sqrt{-a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - 2 \, a b + b^{2}}\right) + \sqrt{-a - b} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)^{2} + a\right)} \sqrt{-a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - b^{2}}\right)}{2 \, d}\right]"," ",0,"[1/4*(sqrt(a + b)*log(2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^4 + 8*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + 2*(a^2 + 2*a*b + b^2)*sinh(d*x + c)^4 + 4*(a^2 + a*b)*cosh(d*x + c)^2 + 4*(3*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + a^2 + a*b)*sinh(d*x + c)^2 + 2*a^2 - b^2 + 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 + (2*a + b)*cosh(d*x + c)^2 + (6*(a + b)*cosh(d*x + c)^2 + 2*a + b)*sinh(d*x + c)^2 + 2*(2*(a + b)*cosh(d*x + c)^3 + (2*a + b)*cosh(d*x + c))*sinh(d*x + c) + a)*sqrt(a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 8*((a^2 + 2*a*b + b^2)*cosh(d*x + c)^3 + (a^2 + a*b)*cosh(d*x + c))*sinh(d*x + c)) + sqrt(a - b)*log(((2*a^2 - b^2)*cosh(d*x + c)^4 + 4*(2*a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + (2*a^2 - b^2)*sinh(d*x + c)^4 + 4*(a^2 - a*b)*cosh(d*x + c)^2 + 2*(3*(2*a^2 - b^2)*cosh(d*x + c)^2 + 2*a^2 - 2*a*b)*sinh(d*x + c)^2 + 2*a^2 - 4*a*b + 2*b^2 - 2*(a*cosh(d*x + c)^4 + 4*a*cosh(d*x + c)*sinh(d*x + c)^3 + a*sinh(d*x + c)^4 + (2*a - b)*cosh(d*x + c)^2 + (6*a*cosh(d*x + c)^2 + 2*a - b)*sinh(d*x + c)^2 + 2*(2*a*cosh(d*x + c)^3 + (2*a - b)*cosh(d*x + c))*sinh(d*x + c) + a - b)*sqrt(a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 4*((2*a^2 - b^2)*cosh(d*x + c)^3 + 2*(a^2 - a*b)*cosh(d*x + c))*sinh(d*x + c))/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/d, -1/4*(2*sqrt(-a - b)*arctan(((a + b)*cosh(d*x + c)^2 + 2*(a + b)*cosh(d*x + c)*sinh(d*x + c) + (a + b)*sinh(d*x + c)^2 + a)*sqrt(-a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + 2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 + 2*a*b + b^2)*sinh(d*x + c)^2 + a^2 - b^2)) - sqrt(a - b)*log(((2*a^2 - b^2)*cosh(d*x + c)^4 + 4*(2*a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + (2*a^2 - b^2)*sinh(d*x + c)^4 + 4*(a^2 - a*b)*cosh(d*x + c)^2 + 2*(3*(2*a^2 - b^2)*cosh(d*x + c)^2 + 2*a^2 - 2*a*b)*sinh(d*x + c)^2 + 2*a^2 - 4*a*b + 2*b^2 - 2*(a*cosh(d*x + c)^4 + 4*a*cosh(d*x + c)*sinh(d*x + c)^3 + a*sinh(d*x + c)^4 + (2*a - b)*cosh(d*x + c)^2 + (6*a*cosh(d*x + c)^2 + 2*a - b)*sinh(d*x + c)^2 + 2*(2*a*cosh(d*x + c)^3 + (2*a - b)*cosh(d*x + c))*sinh(d*x + c) + a - b)*sqrt(a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 4*((2*a^2 - b^2)*cosh(d*x + c)^3 + 2*(a^2 - a*b)*cosh(d*x + c))*sinh(d*x + c))/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/d, -1/4*(2*sqrt(-a + b)*arctan(-(a*cosh(d*x + c)^2 + 2*a*cosh(d*x + c)*sinh(d*x + c) + a*sinh(d*x + c)^2 + a - b)*sqrt(-a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2 + a^2 - 2*a*b + b^2)) - sqrt(a + b)*log(2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^4 + 8*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + 2*(a^2 + 2*a*b + b^2)*sinh(d*x + c)^4 + 4*(a^2 + a*b)*cosh(d*x + c)^2 + 4*(3*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + a^2 + a*b)*sinh(d*x + c)^2 + 2*a^2 - b^2 + 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 + (2*a + b)*cosh(d*x + c)^2 + (6*(a + b)*cosh(d*x + c)^2 + 2*a + b)*sinh(d*x + c)^2 + 2*(2*(a + b)*cosh(d*x + c)^3 + (2*a + b)*cosh(d*x + c))*sinh(d*x + c) + a)*sqrt(a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 8*((a^2 + 2*a*b + b^2)*cosh(d*x + c)^3 + (a^2 + a*b)*cosh(d*x + c))*sinh(d*x + c)))/d, -1/2*(sqrt(-a + b)*arctan(-(a*cosh(d*x + c)^2 + 2*a*cosh(d*x + c)*sinh(d*x + c) + a*sinh(d*x + c)^2 + a - b)*sqrt(-a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2 + a^2 - 2*a*b + b^2)) + sqrt(-a - b)*arctan(((a + b)*cosh(d*x + c)^2 + 2*(a + b)*cosh(d*x + c)*sinh(d*x + c) + (a + b)*sinh(d*x + c)^2 + a)*sqrt(-a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + 2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 + 2*a*b + b^2)*sinh(d*x + c)^2 + a^2 - b^2)))/d]","B",0
68,1,2279,0,0.666340," ","integrate(1/(a+b*tanh(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a + b} {\left(a - b\right)} \log\left(2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{4} + 8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + a^{2} + a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - b^{2} + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(a + b\right)} \sinh\left(d x + c\right)^{4} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, a + b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a\right)} \sqrt{a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right) + {\left(a + b\right)} \sqrt{a - b} \log\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(2 \, a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, a^{2} - 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - 4 \, a b + 2 \, b^{2} - 2 \, {\left(a \cosh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{4} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, a \cosh\left(d x + c\right)^{2} + 2 \, a - b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, a \cosh\left(d x + c\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a - b\right)} \sqrt{a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 4 \, {\left({\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, {\left(a^{2} - b^{2}\right)} d}, -\frac{2 \, {\left(a - b\right)} \sqrt{-a - b} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)^{2} + a\right)} \sqrt{-a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - b^{2}}\right) - {\left(a + b\right)} \sqrt{a - b} \log\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(2 \, a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, a^{2} - 2 \, a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - 4 \, a b + 2 \, b^{2} - 2 \, {\left(a \cosh\left(d x + c\right)^{4} + 4 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + a \sinh\left(d x + c\right)^{4} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, a \cosh\left(d x + c\right)^{2} + 2 \, a - b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, a \cosh\left(d x + c\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a - b\right)} \sqrt{a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 4 \, {\left({\left(2 \, a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} - a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)^{4} + 4 \, \cosh\left(d x + c\right)^{3} \sinh\left(d x + c\right) + 6 \, \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right)^{2} + 4 \, \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + \sinh\left(d x + c\right)^{4}}\right)}{4 \, {\left(a^{2} - b^{2}\right)} d}, -\frac{2 \, {\left(a + b\right)} \sqrt{-a + b} \arctan\left(-\frac{{\left(a \cosh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a \sinh\left(d x + c\right)^{2} + a - b\right)} \sqrt{-a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - 2 \, a b + b^{2}}\right) - \sqrt{a + b} {\left(a - b\right)} \log\left(2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{4} + 8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + a^{2} + a b\right)} \sinh\left(d x + c\right)^{2} + 2 \, a^{2} - b^{2} + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(a + b\right)} \sinh\left(d x + c\right)^{4} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, a + b\right)} \sinh\left(d x + c\right)^{2} + 2 \, {\left(2 \, {\left(a + b\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a + b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + a\right)} \sqrt{a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{3} + {\left(a^{2} + a b\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)}{4 \, {\left(a^{2} - b^{2}\right)} d}, -\frac{{\left(a + b\right)} \sqrt{-a + b} \arctan\left(-\frac{{\left(a \cosh\left(d x + c\right)^{2} + 2 \, a \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a \sinh\left(d x + c\right)^{2} + a - b\right)} \sqrt{-a + b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} - b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - 2 \, a b + b^{2}}\right) + {\left(a - b\right)} \sqrt{-a - b} \arctan\left(\frac{{\left({\left(a + b\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a + b\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)^{2} + a\right)} \sqrt{-a - b} \sqrt{\frac{a \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)}{\cosh\left(d x + c\right)}}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a^{2} + 2 \, a b + b^{2}\right)} \sinh\left(d x + c\right)^{2} + a^{2} - b^{2}}\right)}{2 \, {\left(a^{2} - b^{2}\right)} d}\right]"," ",0,"[1/4*(sqrt(a + b)*(a - b)*log(2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^4 + 8*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + 2*(a^2 + 2*a*b + b^2)*sinh(d*x + c)^4 + 4*(a^2 + a*b)*cosh(d*x + c)^2 + 4*(3*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + a^2 + a*b)*sinh(d*x + c)^2 + 2*a^2 - b^2 + 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 + (2*a + b)*cosh(d*x + c)^2 + (6*(a + b)*cosh(d*x + c)^2 + 2*a + b)*sinh(d*x + c)^2 + 2*(2*(a + b)*cosh(d*x + c)^3 + (2*a + b)*cosh(d*x + c))*sinh(d*x + c) + a)*sqrt(a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 8*((a^2 + 2*a*b + b^2)*cosh(d*x + c)^3 + (a^2 + a*b)*cosh(d*x + c))*sinh(d*x + c)) + (a + b)*sqrt(a - b)*log(((2*a^2 - b^2)*cosh(d*x + c)^4 + 4*(2*a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + (2*a^2 - b^2)*sinh(d*x + c)^4 + 4*(a^2 - a*b)*cosh(d*x + c)^2 + 2*(3*(2*a^2 - b^2)*cosh(d*x + c)^2 + 2*a^2 - 2*a*b)*sinh(d*x + c)^2 + 2*a^2 - 4*a*b + 2*b^2 - 2*(a*cosh(d*x + c)^4 + 4*a*cosh(d*x + c)*sinh(d*x + c)^3 + a*sinh(d*x + c)^4 + (2*a - b)*cosh(d*x + c)^2 + (6*a*cosh(d*x + c)^2 + 2*a - b)*sinh(d*x + c)^2 + 2*(2*a*cosh(d*x + c)^3 + (2*a - b)*cosh(d*x + c))*sinh(d*x + c) + a - b)*sqrt(a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 4*((2*a^2 - b^2)*cosh(d*x + c)^3 + 2*(a^2 - a*b)*cosh(d*x + c))*sinh(d*x + c))/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/((a^2 - b^2)*d), -1/4*(2*(a - b)*sqrt(-a - b)*arctan(((a + b)*cosh(d*x + c)^2 + 2*(a + b)*cosh(d*x + c)*sinh(d*x + c) + (a + b)*sinh(d*x + c)^2 + a)*sqrt(-a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + 2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 + 2*a*b + b^2)*sinh(d*x + c)^2 + a^2 - b^2)) - (a + b)*sqrt(a - b)*log(((2*a^2 - b^2)*cosh(d*x + c)^4 + 4*(2*a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + (2*a^2 - b^2)*sinh(d*x + c)^4 + 4*(a^2 - a*b)*cosh(d*x + c)^2 + 2*(3*(2*a^2 - b^2)*cosh(d*x + c)^2 + 2*a^2 - 2*a*b)*sinh(d*x + c)^2 + 2*a^2 - 4*a*b + 2*b^2 - 2*(a*cosh(d*x + c)^4 + 4*a*cosh(d*x + c)*sinh(d*x + c)^3 + a*sinh(d*x + c)^4 + (2*a - b)*cosh(d*x + c)^2 + (6*a*cosh(d*x + c)^2 + 2*a - b)*sinh(d*x + c)^2 + 2*(2*a*cosh(d*x + c)^3 + (2*a - b)*cosh(d*x + c))*sinh(d*x + c) + a - b)*sqrt(a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 4*((2*a^2 - b^2)*cosh(d*x + c)^3 + 2*(a^2 - a*b)*cosh(d*x + c))*sinh(d*x + c))/(cosh(d*x + c)^4 + 4*cosh(d*x + c)^3*sinh(d*x + c) + 6*cosh(d*x + c)^2*sinh(d*x + c)^2 + 4*cosh(d*x + c)*sinh(d*x + c)^3 + sinh(d*x + c)^4)))/((a^2 - b^2)*d), -1/4*(2*(a + b)*sqrt(-a + b)*arctan(-(a*cosh(d*x + c)^2 + 2*a*cosh(d*x + c)*sinh(d*x + c) + a*sinh(d*x + c)^2 + a - b)*sqrt(-a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2 + a^2 - 2*a*b + b^2)) - sqrt(a + b)*(a - b)*log(2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^4 + 8*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c)^3 + 2*(a^2 + 2*a*b + b^2)*sinh(d*x + c)^4 + 4*(a^2 + a*b)*cosh(d*x + c)^2 + 4*(3*(a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + a^2 + a*b)*sinh(d*x + c)^2 + 2*a^2 - b^2 + 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 + (2*a + b)*cosh(d*x + c)^2 + (6*(a + b)*cosh(d*x + c)^2 + 2*a + b)*sinh(d*x + c)^2 + 2*(2*(a + b)*cosh(d*x + c)^3 + (2*a + b)*cosh(d*x + c))*sinh(d*x + c) + a)*sqrt(a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c)) + 8*((a^2 + 2*a*b + b^2)*cosh(d*x + c)^3 + (a^2 + a*b)*cosh(d*x + c))*sinh(d*x + c)))/((a^2 - b^2)*d), -1/2*((a + b)*sqrt(-a + b)*arctan(-(a*cosh(d*x + c)^2 + 2*a*cosh(d*x + c)*sinh(d*x + c) + a*sinh(d*x + c)^2 + a - b)*sqrt(-a + b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 - b^2)*cosh(d*x + c)^2 + 2*(a^2 - b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 - b^2)*sinh(d*x + c)^2 + a^2 - 2*a*b + b^2)) + (a - b)*sqrt(-a - b)*arctan(((a + b)*cosh(d*x + c)^2 + 2*(a + b)*cosh(d*x + c)*sinh(d*x + c) + (a + b)*sinh(d*x + c)^2 + a)*sqrt(-a - b)*sqrt((a*cosh(d*x + c) + b*sinh(d*x + c))/cosh(d*x + c))/((a^2 + 2*a*b + b^2)*cosh(d*x + c)^2 + 2*(a^2 + 2*a*b + b^2)*cosh(d*x + c)*sinh(d*x + c) + (a^2 + 2*a*b + b^2)*sinh(d*x + c)^2 + a^2 - b^2)))/((a^2 - b^2)*d)]","B",0
69,1,92,0,0.492674," ","integrate(sinh(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 5 \, \sinh\left(x\right)^{5} + {\left(50 \, \cosh\left(x\right)^{2} - 27\right)} \sinh\left(x\right)^{3} - 9 \, \cosh\left(x\right)^{3} + {\left(10 \, \cosh\left(x\right)^{3} - 27 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 12 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) + {\left(25 \, \cosh\left(x\right)^{4} - 81 \, \cosh\left(x\right)^{2} + 24 \, x + 12\right)} \sinh\left(x\right)}{384 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/384*(cosh(x)^5 + 5*cosh(x)*sinh(x)^4 + 5*sinh(x)^5 + (50*cosh(x)^2 - 27)*sinh(x)^3 - 9*cosh(x)^3 + (10*cosh(x)^3 - 27*cosh(x))*sinh(x)^2 + 12*(2*x - 1)*cosh(x) + (25*cosh(x)^4 - 81*cosh(x)^2 + 24*x + 12)*sinh(x))/(cosh(x) + sinh(x))","B",0
70,1,56,0,0.759951," ","integrate(sinh(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{4} + \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{2} - 5 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)}{30 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/30*(cosh(x)^4 + cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 - 5)*sinh(x)^2 - 5*cosh(x)^2 + (cosh(x)^3 - 5*cosh(x))*sinh(x))/(cosh(x) + sinh(x))","B",0
71,1,51,0,0.555271," ","integrate(sinh(x)^2/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 3 \, \sinh\left(x\right)^{3} - 2 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) + {\left(9 \, \cosh\left(x\right)^{2} - 4 \, x - 2\right)} \sinh\left(x\right)}{32 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/32*(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + 3*sinh(x)^3 - 2*(2*x - 1)*cosh(x) + (9*cosh(x)^2 - 4*x - 2)*sinh(x))/(cosh(x) + sinh(x))","A",0
72,1,23,0,0.567905," ","integrate(sinh(x)/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{2} + \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}{3 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/3*(cosh(x)^2 + cosh(x)*sinh(x) + sinh(x)^2)/(cosh(x) + sinh(x))","A",0
73,1,38,0,0.577287," ","integrate(csch(x)/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{{\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) - 1}{\cosh\left(x\right) + \sinh\left(x\right)}"," ",0,"-((cosh(x) + sinh(x))*log(cosh(x) + sinh(x) + 1) - (cosh(x) + sinh(x))*log(cosh(x) + sinh(x) - 1) - 1)/(cosh(x) + sinh(x))","B",0
74,1,77,0,0.434868," ","integrate(csch(x)^2/(1+tanh(x)),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
75,1,209,0,0.449968," ","integrate(csch(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, \sinh\left(x\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} - 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(\cosh\left(x\right) + \sinh\left(x\right) + 1\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(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - 6 \, \cosh\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*cosh(x)^3 + 6*cosh(x)*sinh(x)^2 + 2*sinh(x)^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)*log(cosh(x) + sinh(x) + 1) + (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) + sinh(x) - 1) + 6*(cosh(x)^2 - 1)*sinh(x) - 6*cosh(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
76,1,84,0,0.517555," ","integrate(csch(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, \cosh\left(x\right) + \sinh\left(x\right)\right)}}{3 \, {\left(\cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5} + {\left(10 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{3} - 3 \, \cosh\left(x\right)^{3} + {\left(10 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 4\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right)\right)}}"," ",0,"-4/3*(2*cosh(x) + sinh(x))/(cosh(x)^5 + 5*cosh(x)*sinh(x)^4 + sinh(x)^5 + (10*cosh(x)^2 - 3)*sinh(x)^3 - 3*cosh(x)^3 + (10*cosh(x)^3 - 9*cosh(x))*sinh(x)^2 + (5*cosh(x)^4 - 9*cosh(x)^2 + 4)*sinh(x) + 2*cosh(x))","B",0
77,1,640,0,0.547606," ","integrate(csch(x)^5/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{6 \, \cosh\left(x\right)^{7} + 42 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + 6 \, \sinh\left(x\right)^{7} + 2 \, {\left(63 \, \cosh\left(x\right)^{2} - 11\right)} \sinh\left(x\right)^{5} - 22 \, \cosh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{3} - 11 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(105 \, \cosh\left(x\right)^{4} - 110 \, \cosh\left(x\right)^{2} + 53\right)} \sinh\left(x\right)^{3} + 106 \, \cosh\left(x\right)^{3} + 2 \, {\left(63 \, \cosh\left(x\right)^{5} - 110 \, \cosh\left(x\right)^{3} + 159 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\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)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\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)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(21 \, \cosh\left(x\right)^{6} - 55 \, \cosh\left(x\right)^{4} + 159 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right) + 6 \, \cosh\left(x\right)}{24 \, {\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,"-1/24*(6*cosh(x)^7 + 42*cosh(x)*sinh(x)^6 + 6*sinh(x)^7 + 2*(63*cosh(x)^2 - 11)*sinh(x)^5 - 22*cosh(x)^5 + 10*(21*cosh(x)^3 - 11*cosh(x))*sinh(x)^4 + 2*(105*cosh(x)^4 - 110*cosh(x)^2 + 53)*sinh(x)^3 + 106*cosh(x)^3 + 2*(63*cosh(x)^5 - 110*cosh(x)^3 + 159*cosh(x))*sinh(x)^2 - 3*(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)*log(cosh(x) + sinh(x) + 1) + 3*(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)*log(cosh(x) + sinh(x) - 1) + 2*(21*cosh(x)^6 - 55*cosh(x)^4 + 159*cosh(x)^2 + 3)*sinh(x) + 6*cosh(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
78,1,185,0,0.702149," ","integrate(csch(x)^6/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(19 \, \cosh\left(x\right)^{2} + 42 \, \cosh\left(x\right) \sinh\left(x\right) + 19 \, \sinh\left(x\right)^{2} + 5\right)}}{15 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{6} - 5 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} - 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 5 \, {\left(14 \, \cosh\left(x\right)^{4} - 15 \, \cosh\left(x\right)^{2} + 2\right)} \sinh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} - 25 \, \cosh\left(x\right)^{3} + 10 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} - 75 \, \cosh\left(x\right)^{4} + 60 \, \cosh\left(x\right)^{2} - 11\right)} \sinh\left(x\right)^{2} - 11 \, \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} - 15 \, \cosh\left(x\right)^{5} + 20 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 5\right)}}"," ",0,"-4/15*(19*cosh(x)^2 + 42*cosh(x)*sinh(x) + 19*sinh(x)^2 + 5)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 - 5)*sinh(x)^6 - 5*cosh(x)^6 + 2*(28*cosh(x)^3 - 15*cosh(x))*sinh(x)^5 + 5*(14*cosh(x)^4 - 15*cosh(x)^2 + 2)*sinh(x)^4 + 10*cosh(x)^4 + 4*(14*cosh(x)^5 - 25*cosh(x)^3 + 10*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 - 75*cosh(x)^4 + 60*cosh(x)^2 - 11)*sinh(x)^2 - 11*cosh(x)^2 + 2*(4*cosh(x)^7 - 15*cosh(x)^5 + 20*cosh(x)^3 - 9*cosh(x))*sinh(x) + 5)","B",0
79,1,1260,0,0.649949," ","integrate(csch(x)^7/(1+tanh(x)),x, algorithm=""fricas"")","\frac{30 \, \cosh\left(x\right)^{11} + 330 \, \cosh\left(x\right) \sinh\left(x\right)^{10} + 30 \, \sinh\left(x\right)^{11} + 10 \, {\left(165 \, \cosh\left(x\right)^{2} - 17\right)} \sinh\left(x\right)^{9} - 170 \, \cosh\left(x\right)^{9} + 90 \, {\left(55 \, \cosh\left(x\right)^{3} - 17 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} + 36 \, {\left(275 \, \cosh\left(x\right)^{4} - 170 \, \cosh\left(x\right)^{2} + 11\right)} \sinh\left(x\right)^{7} + 396 \, \cosh\left(x\right)^{7} + 84 \, {\left(165 \, \cosh\left(x\right)^{5} - 170 \, \cosh\left(x\right)^{3} + 33 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 12 \, {\left(1155 \, \cosh\left(x\right)^{6} - 1785 \, \cosh\left(x\right)^{4} + 693 \, \cosh\left(x\right)^{2} - 223\right)} \sinh\left(x\right)^{5} - 2676 \, \cosh\left(x\right)^{5} + 60 \, {\left(165 \, \cosh\left(x\right)^{7} - 357 \, \cosh\left(x\right)^{5} + 231 \, \cosh\left(x\right)^{3} - 223 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(495 \, \cosh\left(x\right)^{8} - 1428 \, \cosh\left(x\right)^{6} + 1386 \, \cosh\left(x\right)^{4} - 2676 \, \cosh\left(x\right)^{2} - 17\right)} \sinh\left(x\right)^{3} - 170 \, \cosh\left(x\right)^{3} + 6 \, {\left(275 \, \cosh\left(x\right)^{9} - 1020 \, \cosh\left(x\right)^{7} + 1386 \, \cosh\left(x\right)^{5} - 4460 \, \cosh\left(x\right)^{3} - 85 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 15 \, {\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) + 15 \, {\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(55 \, \cosh\left(x\right)^{10} - 255 \, \cosh\left(x\right)^{8} + 462 \, \cosh\left(x\right)^{6} - 2230 \, \cosh\left(x\right)^{4} - 85 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right) + 30 \, \cosh\left(x\right)}{240 \, {\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,"1/240*(30*cosh(x)^11 + 330*cosh(x)*sinh(x)^10 + 30*sinh(x)^11 + 10*(165*cosh(x)^2 - 17)*sinh(x)^9 - 170*cosh(x)^9 + 90*(55*cosh(x)^3 - 17*cosh(x))*sinh(x)^8 + 36*(275*cosh(x)^4 - 170*cosh(x)^2 + 11)*sinh(x)^7 + 396*cosh(x)^7 + 84*(165*cosh(x)^5 - 170*cosh(x)^3 + 33*cosh(x))*sinh(x)^6 + 12*(1155*cosh(x)^6 - 1785*cosh(x)^4 + 693*cosh(x)^2 - 223)*sinh(x)^5 - 2676*cosh(x)^5 + 60*(165*cosh(x)^7 - 357*cosh(x)^5 + 231*cosh(x)^3 - 223*cosh(x))*sinh(x)^4 + 10*(495*cosh(x)^8 - 1428*cosh(x)^6 + 1386*cosh(x)^4 - 2676*cosh(x)^2 - 17)*sinh(x)^3 - 170*cosh(x)^3 + 6*(275*cosh(x)^9 - 1020*cosh(x)^7 + 1386*cosh(x)^5 - 4460*cosh(x)^3 - 85*cosh(x))*sinh(x)^2 - 15*(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) + 15*(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*(55*cosh(x)^10 - 255*cosh(x)^8 + 462*cosh(x)^6 - 2230*cosh(x)^4 - 85*cosh(x)^2 + 5)*sinh(x) + 30*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
80,1,1226,0,0.551136," ","integrate(sinh(x)^4/(a+b*tanh(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(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - 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(3 \, a^{5} + 8 \, a^{4} b + 6 \, a^{3} b^{2} - 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(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - 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(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(3 \, a^{5} + 8 \, a^{4} b + 6 \, a^{3} b^{2} - 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(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{5} + 8 \, a^{4} b + 6 \, a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(2 \, a^{5} + 3 \, a^{4} b - 2 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + 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} + 2 \, a^{5} + 3 \, a^{4} b - 2 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + b^{5} - 15 \, {\left(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(3 \, a^{5} + 8 \, a^{4} b + 6 \, a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 64 \, {\left(a^{4} b \cosh\left(x\right)^{4} + 4 \, a^{4} b \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a^{4} b \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a^{4} b \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{4} b \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(2 \, a^{5} - 3 \, a^{4} b - 2 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(3 \, a^{5} + 8 \, a^{4} b + 6 \, a^{3} b^{2} - a b^{4}\right)} x \cosh\left(x\right)^{3} + {\left(2 \, a^{5} + 3 \, a^{4} b - 2 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + 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*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - b^5)*cosh(x)^6 - 4*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - 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*(3*a^5 + 8*a^4*b + 6*a^3*b^2 - 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*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - 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*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - b^5)*cosh(x)^2 + 4*(3*a^5 + 8*a^4*b + 6*a^3*b^2 - 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*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - b^5)*cosh(x)^3 + 4*(3*a^5 + 8*a^4*b + 6*a^3*b^2 - a*b^4)*x*cosh(x))*sinh(x)^3 + 4*(2*a^5 + 3*a^4*b - 2*a^3*b^2 - 4*a^2*b^3 + 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 + 2*a^5 + 3*a^4*b - 2*a^3*b^2 - 4*a^2*b^3 + b^5 - 15*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - b^5)*cosh(x)^4 + 12*(3*a^5 + 8*a^4*b + 6*a^3*b^2 - a*b^4)*x*cosh(x)^2)*sinh(x)^2 - 64*(a^4*b*cosh(x)^4 + 4*a^4*b*cosh(x)^3*sinh(x) + 6*a^4*b*cosh(x)^2*sinh(x)^2 + 4*a^4*b*cosh(x)*sinh(x)^3 + a^4*b*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*(2*a^5 - 3*a^4*b - 2*a^3*b^2 + 4*a^2*b^3 - b^5)*cosh(x)^5 + 4*(3*a^5 + 8*a^4*b + 6*a^3*b^2 - a*b^4)*x*cosh(x)^3 + (2*a^5 + 3*a^4*b - 2*a^3*b^2 - 4*a^2*b^3 + b^5)*cosh(x))*sinh(x))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^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
81,1,1861,0,0.776485," ","integrate(sinh(x)^3/(a+b*tanh(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
82,1,334,0,0.810511," ","integrate(sinh(x)^2/(a+b*tanh(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
83,1,427,0,0.629878," ","integrate(sinh(x)/(a+b*tanh(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
84,1,237,0,0.450965," ","integrate(csch(x)/(a+b*tanh(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) + {\left(a^{2} - b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a^{2} - b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{3} - a b^{2}}, \frac{2 \, \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)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a^{2} - b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{3} - a b^{2}}\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)) + (a^2 - b^2)*log(cosh(x) + sinh(x) + 1) - (a^2 - b^2)*log(cosh(x) + sinh(x) - 1))/(a^3 - a*b^2), (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)*log(cosh(x) + sinh(x) + 1) + (a^2 - b^2)*log(cosh(x) + sinh(x) - 1))/(a^3 - a*b^2)]","A",0
85,1,122,0,0.866611," ","integrate(csch(x)^2/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{{\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} - b\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2} - b\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, a}{a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}}"," ",0,"((b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 - b)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - (b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2 - b)*log(2*sinh(x)/(cosh(x) - sinh(x))) - 2*a)/(a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)","B",0
86,1,1165,0,0.586397," ","integrate(csch(x)^3/(a+b*tanh(x)),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, {\left(a^{2} - 2 \, a b\right)} \sinh\left(x\right)^{3} - 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 \, b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} - b \cosh\left(x\right)\right)} \sinh\left(x\right) + 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} + 2 \, a b\right)} \cosh\left(x\right) - {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - 2 \, b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} + 2 \, b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, b^{2} + 4 \, {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - 2 \, b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} + 2 \, b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, b^{2} + 4 \, {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(3 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right)^{2} + a^{2} + 2 \, a b\right)} \sinh\left(x\right)}{2 \, {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} - 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{2 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right)^{3} + 6 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, {\left(a^{2} - 2 \, a b\right)} \sinh\left(x\right)^{3} + 4 \, {\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 \, b \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b \cosh\left(x\right)^{2} - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b \cosh\left(x\right)^{3} - b \cosh\left(x\right)\right)} \sinh\left(x\right) + 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) + 2 \, {\left(a^{2} + 2 \, a b\right)} \cosh\left(x\right) - {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - 2 \, b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} + 2 \, b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, b^{2} + 4 \, {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - 2 \, b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} + 2 \, b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - 2 \, b^{2} + 4 \, {\left({\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} - 2 \, b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(3 \, {\left(a^{2} - 2 \, a b\right)} \cosh\left(x\right)^{2} + a^{2} + 2 \, a b\right)} \sinh\left(x\right)}{2 \, {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} - 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/2*(2*(a^2 - 2*a*b)*cosh(x)^3 + 6*(a^2 - 2*a*b)*cosh(x)*sinh(x)^2 + 2*(a^2 - 2*a*b)*sinh(x)^3 - 2*(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 - 2*b*cosh(x)^2 + 2*(3*b*cosh(x)^2 - b)*sinh(x)^2 + 4*(b*cosh(x)^3 - b*cosh(x))*sinh(x) + 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 + 2*a*b)*cosh(x) - ((a^2 - 2*b^2)*cosh(x)^4 + 4*(a^2 - 2*b^2)*cosh(x)*sinh(x)^3 + (a^2 - 2*b^2)*sinh(x)^4 - 2*(a^2 - 2*b^2)*cosh(x)^2 + 2*(3*(a^2 - 2*b^2)*cosh(x)^2 - a^2 + 2*b^2)*sinh(x)^2 + a^2 - 2*b^2 + 4*((a^2 - 2*b^2)*cosh(x)^3 - (a^2 - 2*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((a^2 - 2*b^2)*cosh(x)^4 + 4*(a^2 - 2*b^2)*cosh(x)*sinh(x)^3 + (a^2 - 2*b^2)*sinh(x)^4 - 2*(a^2 - 2*b^2)*cosh(x)^2 + 2*(3*(a^2 - 2*b^2)*cosh(x)^2 - a^2 + 2*b^2)*sinh(x)^2 + a^2 - 2*b^2 + 4*((a^2 - 2*b^2)*cosh(x)^3 - (a^2 - 2*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(3*(a^2 - 2*a*b)*cosh(x)^2 + a^2 + 2*a*b)*sinh(x))/(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 - 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 - a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - a^3*cosh(x))*sinh(x)), -1/2*(2*(a^2 - 2*a*b)*cosh(x)^3 + 6*(a^2 - 2*a*b)*cosh(x)*sinh(x)^2 + 2*(a^2 - 2*a*b)*sinh(x)^3 + 4*(b*cosh(x)^4 + 4*b*cosh(x)*sinh(x)^3 + b*sinh(x)^4 - 2*b*cosh(x)^2 + 2*(3*b*cosh(x)^2 - b)*sinh(x)^2 + 4*(b*cosh(x)^3 - b*cosh(x))*sinh(x) + b)*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 2*(a^2 + 2*a*b)*cosh(x) - ((a^2 - 2*b^2)*cosh(x)^4 + 4*(a^2 - 2*b^2)*cosh(x)*sinh(x)^3 + (a^2 - 2*b^2)*sinh(x)^4 - 2*(a^2 - 2*b^2)*cosh(x)^2 + 2*(3*(a^2 - 2*b^2)*cosh(x)^2 - a^2 + 2*b^2)*sinh(x)^2 + a^2 - 2*b^2 + 4*((a^2 - 2*b^2)*cosh(x)^3 - (a^2 - 2*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((a^2 - 2*b^2)*cosh(x)^4 + 4*(a^2 - 2*b^2)*cosh(x)*sinh(x)^3 + (a^2 - 2*b^2)*sinh(x)^4 - 2*(a^2 - 2*b^2)*cosh(x)^2 + 2*(3*(a^2 - 2*b^2)*cosh(x)^2 - a^2 + 2*b^2)*sinh(x)^2 + a^2 - 2*b^2 + 4*((a^2 - 2*b^2)*cosh(x)^3 - (a^2 - 2*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(3*(a^2 - 2*a*b)*cosh(x)^2 + a^2 + 2*a*b)*sinh(x))/(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 - 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 - a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - a^3*cosh(x))*sinh(x))]","B",0
87,1,912,0,0.514293," ","integrate(csch(x)^4/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{6 \, {\left(a^{2} b - a b^{2}\right)} \cosh\left(x\right)^{4} + 24 \, {\left(a^{2} b - a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + 6 \, {\left(a^{2} b - a b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, a^{3} - 6 \, a b^{2} - 6 \, {\left(2 \, a^{3} + a^{2} b - 2 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(2 \, a^{3} + a^{2} b - 2 \, a b^{2} - 6 \, {\left(a^{2} b - a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 3 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{2} b - b^{3} - 5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - a^{2} b + b^{3} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + a^{2} b - b^{3} - 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} b - 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) + 3 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{2} b - b^{3} - 5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - a^{2} b + b^{3} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + a^{2} b - b^{3} - 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 12 \, {\left(2 \, {\left(a^{2} b - a b^{2}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} + a^{2} b - 2 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{4} \cosh\left(x\right)^{6} + 6 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{4} \sinh\left(x\right)^{6} - 3 \, a^{4} \cosh\left(x\right)^{4} + 3 \, a^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{2} - a^{4}\right)} \sinh\left(x\right)^{4} - a^{4} + 4 \, {\left(5 \, a^{4} \cosh\left(x\right)^{3} - 3 \, a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{4} \cosh\left(x\right)^{4} - 6 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{4} \cosh\left(x\right)^{5} - 2 \, a^{4} \cosh\left(x\right)^{3} + a^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*(6*(a^2*b - a*b^2)*cosh(x)^4 + 24*(a^2*b - a*b^2)*cosh(x)*sinh(x)^3 + 6*(a^2*b - a*b^2)*sinh(x)^4 + 4*a^3 - 6*a*b^2 - 6*(2*a^3 + a^2*b - 2*a*b^2)*cosh(x)^2 - 6*(2*a^3 + a^2*b - 2*a*b^2 - 6*(a^2*b - a*b^2)*cosh(x)^2)*sinh(x)^2 - 3*((a^2*b - b^3)*cosh(x)^6 + 6*(a^2*b - b^3)*cosh(x)*sinh(x)^5 + (a^2*b - b^3)*sinh(x)^6 - 3*(a^2*b - b^3)*cosh(x)^4 - 3*(a^2*b - b^3 - 5*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^2*b - b^3)*cosh(x)^3 - 3*(a^2*b - b^3)*cosh(x))*sinh(x)^3 - a^2*b + b^3 + 3*(a^2*b - b^3)*cosh(x)^2 + 3*(5*(a^2*b - b^3)*cosh(x)^4 + a^2*b - b^3 - 6*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 6*((a^2*b - b^3)*cosh(x)^5 - 2*(a^2*b - b^3)*cosh(x)^3 + (a^2*b - b^3)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 3*((a^2*b - b^3)*cosh(x)^6 + 6*(a^2*b - b^3)*cosh(x)*sinh(x)^5 + (a^2*b - b^3)*sinh(x)^6 - 3*(a^2*b - b^3)*cosh(x)^4 - 3*(a^2*b - b^3 - 5*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^2*b - b^3)*cosh(x)^3 - 3*(a^2*b - b^3)*cosh(x))*sinh(x)^3 - a^2*b + b^3 + 3*(a^2*b - b^3)*cosh(x)^2 + 3*(5*(a^2*b - b^3)*cosh(x)^4 + a^2*b - b^3 - 6*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 6*((a^2*b - b^3)*cosh(x)^5 - 2*(a^2*b - b^3)*cosh(x)^3 + (a^2*b - b^3)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 12*(2*(a^2*b - a*b^2)*cosh(x)^3 - (2*a^3 + a^2*b - 2*a*b^2)*cosh(x))*sinh(x))/(a^4*cosh(x)^6 + 6*a^4*cosh(x)*sinh(x)^5 + a^4*sinh(x)^6 - 3*a^4*cosh(x)^4 + 3*a^4*cosh(x)^2 + 3*(5*a^4*cosh(x)^2 - a^4)*sinh(x)^4 - a^4 + 4*(5*a^4*cosh(x)^3 - 3*a^4*cosh(x))*sinh(x)^3 + 3*(5*a^4*cosh(x)^4 - 6*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 6*(a^4*cosh(x)^5 - 2*a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))","B",0
88,1,5347,0,0.656056," ","integrate(csch(x)^5/(a+b*tanh(x)),x, algorithm=""fricas"")","\left[\frac{6 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + 6 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \sinh\left(x\right)^{7} - 2 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3} - 63 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{3} - {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 2 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(105 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{4} - 33 \, a^{4} - 104 \, a^{3} b + 12 \, a^{2} b^{2} + 72 \, a b^{3} - 10 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(63 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 24 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(a^{2} b - b^{3} - 7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b - 3 \, b^{3} - 30 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a^{2} b - b^{3} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} - a^{2} b + b^{3} + 9 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} b - b^{3}\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(3 \, a^{4} + 8 \, a^{3} b - 4 \, a^{2} b^{2} - 8 \, a b^{3}\right)} \cosh\left(x\right) - 3 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} - 7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} - 36 \, a^{2} b^{2} + 24 \, b^{4} - 30 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, a^{4} + 12 \, a^{2} b^{2} - 8 \, b^{4} + 9 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} - 7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} - 36 \, a^{2} b^{2} + 24 \, b^{4} - 30 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, a^{4} + 12 \, a^{2} b^{2} - 8 \, b^{4} + 9 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(21 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{6} - 5 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} + 24 \, a^{3} b - 12 \, a^{2} b^{2} - 24 \, a b^{3} - 3 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{24 \, {\left(a^{5} \cosh\left(x\right)^{8} + 8 \, a^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + a^{5} \sinh\left(x\right)^{8} - 4 \, a^{5} \cosh\left(x\right)^{6} + 6 \, a^{5} \cosh\left(x\right)^{4} - 4 \, a^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{5} \cosh\left(x\right)^{2} - a^{5}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{5} \cosh\left(x\right)^{3} - 3 \, a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{5} + 2 \, {\left(35 \, a^{5} \cosh\left(x\right)^{4} - 30 \, a^{5} \cosh\left(x\right)^{2} + 3 \, a^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{5} \cosh\left(x\right)^{5} - 10 \, a^{5} \cosh\left(x\right)^{3} + 3 \, a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a^{5} \cosh\left(x\right)^{6} - 15 \, a^{5} \cosh\left(x\right)^{4} + 9 \, a^{5} \cosh\left(x\right)^{2} - a^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{5} \cosh\left(x\right)^{7} - 3 \, a^{5} \cosh\left(x\right)^{5} + 3 \, a^{5} \cosh\left(x\right)^{3} - a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{6 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{6} + 6 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \sinh\left(x\right)^{7} - 2 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3} - 63 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{3} - {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 2 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(105 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{4} - 33 \, a^{4} - 104 \, a^{3} b + 12 \, a^{2} b^{2} + 72 \, a b^{3} - 10 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 2 \, {\left(63 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 48 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(a^{2} b - b^{3} - 7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} + 3 \, a^{2} b - 3 \, b^{3} - 30 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + a^{2} b - b^{3} - 4 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{4} - a^{2} b + b^{3} + 9 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} b - b^{3}\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) + 6 \, {\left(3 \, a^{4} + 8 \, a^{3} b - 4 \, a^{2} b^{2} - 8 \, a b^{3}\right)} \cosh\left(x\right) - 3 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} - 7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} - 36 \, a^{2} b^{2} + 24 \, b^{4} - 30 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, a^{4} + 12 \, a^{2} b^{2} - 8 \, b^{4} + 9 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} - 7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} - 36 \, a^{2} b^{2} + 24 \, b^{4} - 30 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4} + 8 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, a^{4} + 12 \, a^{2} b^{2} - 8 \, b^{4} + 9 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(21 \, {\left(3 \, a^{4} - 8 \, a^{3} b - 4 \, a^{2} b^{2} + 8 \, a b^{3}\right)} \cosh\left(x\right)^{6} - 5 \, {\left(33 \, a^{4} - 104 \, a^{3} b - 12 \, a^{2} b^{2} + 72 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 9 \, a^{4} + 24 \, a^{3} b - 12 \, a^{2} b^{2} - 24 \, a b^{3} - 3 \, {\left(33 \, a^{4} + 104 \, a^{3} b - 12 \, a^{2} b^{2} - 72 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{24 \, {\left(a^{5} \cosh\left(x\right)^{8} + 8 \, a^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + a^{5} \sinh\left(x\right)^{8} - 4 \, a^{5} \cosh\left(x\right)^{6} + 6 \, a^{5} \cosh\left(x\right)^{4} - 4 \, a^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{5} \cosh\left(x\right)^{2} - a^{5}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{5} \cosh\left(x\right)^{3} - 3 \, a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{5} + 2 \, {\left(35 \, a^{5} \cosh\left(x\right)^{4} - 30 \, a^{5} \cosh\left(x\right)^{2} + 3 \, a^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{5} \cosh\left(x\right)^{5} - 10 \, a^{5} \cosh\left(x\right)^{3} + 3 \, a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a^{5} \cosh\left(x\right)^{6} - 15 \, a^{5} \cosh\left(x\right)^{4} + 9 \, a^{5} \cosh\left(x\right)^{2} - a^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{5} \cosh\left(x\right)^{7} - 3 \, a^{5} \cosh\left(x\right)^{5} + 3 \, a^{5} \cosh\left(x\right)^{3} - a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/24*(6*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^7 + 42*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)*sinh(x)^6 + 6*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*sinh(x)^7 - 2*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^5 - 2*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3 - 63*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^2)*sinh(x)^5 + 10*(21*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^3 - (33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x))*sinh(x)^4 - 2*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x)^3 + 2*(105*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^4 - 33*a^4 - 104*a^3*b + 12*a^2*b^2 + 72*a*b^3 - 10*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^2)*sinh(x)^3 + 2*(63*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^5 - 10*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^3 - 3*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x))*sinh(x)^2 - 24*((a^2*b - b^3)*cosh(x)^8 + 8*(a^2*b - b^3)*cosh(x)*sinh(x)^7 + (a^2*b - b^3)*sinh(x)^8 - 4*(a^2*b - b^3)*cosh(x)^6 - 4*(a^2*b - b^3 - 7*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^2*b - b^3)*cosh(x)^3 - 3*(a^2*b - b^3)*cosh(x))*sinh(x)^5 + 6*(a^2*b - b^3)*cosh(x)^4 + 2*(35*(a^2*b - b^3)*cosh(x)^4 + 3*a^2*b - 3*b^3 - 30*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^2*b - b^3)*cosh(x)^5 - 10*(a^2*b - b^3)*cosh(x)^3 + 3*(a^2*b - b^3)*cosh(x))*sinh(x)^3 + a^2*b - b^3 - 4*(a^2*b - b^3)*cosh(x)^2 + 4*(7*(a^2*b - b^3)*cosh(x)^6 - 15*(a^2*b - b^3)*cosh(x)^4 - a^2*b + b^3 + 9*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 8*((a^2*b - b^3)*cosh(x)^7 - 3*(a^2*b - b^3)*cosh(x)^5 + 3*(a^2*b - b^3)*cosh(x)^3 - (a^2*b - b^3)*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*(3*a^4 + 8*a^3*b - 4*a^2*b^2 - 8*a*b^3)*cosh(x) - 3*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^8 + 8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)*sinh(x)^7 + (3*a^4 - 12*a^2*b^2 + 8*b^4)*sinh(x)^8 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4 - 7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 2*(35*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 9*a^4 - 36*a^2*b^2 + 24*b^4 - 30*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^4 + 3*a^4 - 12*a^2*b^2 + 8*b^4 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 - 10*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2 + 4*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 15*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 - 3*a^4 + 12*a^2*b^2 - 8*b^4 + 9*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^7 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - (3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 3*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^8 + 8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)*sinh(x)^7 + (3*a^4 - 12*a^2*b^2 + 8*b^4)*sinh(x)^8 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4 - 7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 2*(35*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 9*a^4 - 36*a^2*b^2 + 24*b^4 - 30*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^4 + 3*a^4 - 12*a^2*b^2 + 8*b^4 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 - 10*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2 + 4*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 15*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 - 3*a^4 + 12*a^2*b^2 - 8*b^4 + 9*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^7 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - (3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(21*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^6 - 5*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^4 + 9*a^4 + 24*a^3*b - 12*a^2*b^2 - 24*a*b^3 - 3*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x)^2)*sinh(x))/(a^5*cosh(x)^8 + 8*a^5*cosh(x)*sinh(x)^7 + a^5*sinh(x)^8 - 4*a^5*cosh(x)^6 + 6*a^5*cosh(x)^4 - 4*a^5*cosh(x)^2 + 4*(7*a^5*cosh(x)^2 - a^5)*sinh(x)^6 + 8*(7*a^5*cosh(x)^3 - 3*a^5*cosh(x))*sinh(x)^5 + a^5 + 2*(35*a^5*cosh(x)^4 - 30*a^5*cosh(x)^2 + 3*a^5)*sinh(x)^4 + 8*(7*a^5*cosh(x)^5 - 10*a^5*cosh(x)^3 + 3*a^5*cosh(x))*sinh(x)^3 + 4*(7*a^5*cosh(x)^6 - 15*a^5*cosh(x)^4 + 9*a^5*cosh(x)^2 - a^5)*sinh(x)^2 + 8*(a^5*cosh(x)^7 - 3*a^5*cosh(x)^5 + 3*a^5*cosh(x)^3 - a^5*cosh(x))*sinh(x)), 1/24*(6*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^7 + 42*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)*sinh(x)^6 + 6*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*sinh(x)^7 - 2*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^5 - 2*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3 - 63*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^2)*sinh(x)^5 + 10*(21*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^3 - (33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x))*sinh(x)^4 - 2*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x)^3 + 2*(105*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^4 - 33*a^4 - 104*a^3*b + 12*a^2*b^2 + 72*a*b^3 - 10*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^2)*sinh(x)^3 + 2*(63*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^5 - 10*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^3 - 3*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x))*sinh(x)^2 + 48*((a^2*b - b^3)*cosh(x)^8 + 8*(a^2*b - b^3)*cosh(x)*sinh(x)^7 + (a^2*b - b^3)*sinh(x)^8 - 4*(a^2*b - b^3)*cosh(x)^6 - 4*(a^2*b - b^3 - 7*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^2*b - b^3)*cosh(x)^3 - 3*(a^2*b - b^3)*cosh(x))*sinh(x)^5 + 6*(a^2*b - b^3)*cosh(x)^4 + 2*(35*(a^2*b - b^3)*cosh(x)^4 + 3*a^2*b - 3*b^3 - 30*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^2*b - b^3)*cosh(x)^5 - 10*(a^2*b - b^3)*cosh(x)^3 + 3*(a^2*b - b^3)*cosh(x))*sinh(x)^3 + a^2*b - b^3 - 4*(a^2*b - b^3)*cosh(x)^2 + 4*(7*(a^2*b - b^3)*cosh(x)^6 - 15*(a^2*b - b^3)*cosh(x)^4 - a^2*b + b^3 + 9*(a^2*b - b^3)*cosh(x)^2)*sinh(x)^2 + 8*((a^2*b - b^3)*cosh(x)^7 - 3*(a^2*b - b^3)*cosh(x)^5 + 3*(a^2*b - b^3)*cosh(x)^3 - (a^2*b - b^3)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 6*(3*a^4 + 8*a^3*b - 4*a^2*b^2 - 8*a*b^3)*cosh(x) - 3*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^8 + 8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)*sinh(x)^7 + (3*a^4 - 12*a^2*b^2 + 8*b^4)*sinh(x)^8 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4 - 7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 2*(35*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 9*a^4 - 36*a^2*b^2 + 24*b^4 - 30*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^4 + 3*a^4 - 12*a^2*b^2 + 8*b^4 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 - 10*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2 + 4*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 15*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 - 3*a^4 + 12*a^2*b^2 - 8*b^4 + 9*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^7 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - (3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 3*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^8 + 8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)*sinh(x)^7 + (3*a^4 - 12*a^2*b^2 + 8*b^4)*sinh(x)^8 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4 - 7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^5 + 6*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 2*(35*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 + 9*a^4 - 36*a^2*b^2 + 24*b^4 - 30*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^4 + 3*a^4 - 12*a^2*b^2 + 8*b^4 + 8*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 - 10*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x)^3 - 4*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2 + 4*(7*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^6 - 15*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^4 - 3*a^4 + 12*a^2*b^2 - 8*b^4 + 9*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^7 - 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^5 + 3*(3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x)^3 - (3*a^4 - 12*a^2*b^2 + 8*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(21*(3*a^4 - 8*a^3*b - 4*a^2*b^2 + 8*a*b^3)*cosh(x)^6 - 5*(33*a^4 - 104*a^3*b - 12*a^2*b^2 + 72*a*b^3)*cosh(x)^4 + 9*a^4 + 24*a^3*b - 12*a^2*b^2 - 24*a*b^3 - 3*(33*a^4 + 104*a^3*b - 12*a^2*b^2 - 72*a*b^3)*cosh(x)^2)*sinh(x))/(a^5*cosh(x)^8 + 8*a^5*cosh(x)*sinh(x)^7 + a^5*sinh(x)^8 - 4*a^5*cosh(x)^6 + 6*a^5*cosh(x)^4 - 4*a^5*cosh(x)^2 + 4*(7*a^5*cosh(x)^2 - a^5)*sinh(x)^6 + 8*(7*a^5*cosh(x)^3 - 3*a^5*cosh(x))*sinh(x)^5 + a^5 + 2*(35*a^5*cosh(x)^4 - 30*a^5*cosh(x)^2 + 3*a^5)*sinh(x)^4 + 8*(7*a^5*cosh(x)^5 - 10*a^5*cosh(x)^3 + 3*a^5*cosh(x))*sinh(x)^3 + 4*(7*a^5*cosh(x)^6 - 15*a^5*cosh(x)^4 + 9*a^5*cosh(x)^2 - a^5)*sinh(x)^2 + 8*(a^5*cosh(x)^7 - 3*a^5*cosh(x)^5 + 3*a^5*cosh(x)^3 - a^5*cosh(x))*sinh(x))]","B",0
89,1,2972,0,0.595070," ","integrate(csch(x)^6/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{30 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{8} + 240 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + 30 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \sinh\left(x\right)^{8} - 30 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 30 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4} - 28 \, {\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)^{6} + 60 \, {\left(28 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 16 \, a^{5} - 50 \, a^{3} b^{2} + 30 \, a b^{4} + 10 \, {\left(16 \, a^{5} + 15 \, a^{4} b - 32 \, a^{3} b^{2} - 9 \, a^{2} b^{3} + 18 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(16 \, a^{5} + 15 \, a^{4} b - 32 \, a^{3} b^{2} - 9 \, a^{2} b^{3} + 18 \, a b^{4} + 210 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{4} - 45 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(42 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{5} - 15 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(16 \, a^{5} + 15 \, a^{4} b - 32 \, a^{3} b^{2} - 9 \, a^{2} b^{3} + 18 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 10 \, {\left(8 \, a^{5} + 3 \, a^{4} b - 22 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 12 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(84 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{6} - 8 \, a^{5} - 3 \, a^{4} b + 22 \, a^{3} b^{2} + 3 \, a^{2} b^{3} - 12 \, a b^{4} - 45 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(16 \, a^{5} + 15 \, a^{4} b - 32 \, a^{3} b^{2} - 9 \, a^{2} b^{3} + 18 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 15 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} - 9 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + 21 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{4} b + 2 \, a^{2} b^{3} - b^{5} - 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} - a^{4} b + 2 \, a^{2} b^{3} - b^{5} - 35 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + a^{4} b - 2 \, a^{2} b^{3} + b^{5} + 30 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(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) + 15 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} - 9 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + 21 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - a^{4} b + 2 \, a^{2} b^{3} - b^{5} - 10 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} - a^{4} b + 2 \, a^{2} b^{3} - b^{5} - 35 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{6} + a^{4} b - 2 \, a^{2} b^{3} + b^{5} + 30 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} + {\left(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 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 20 \, {\left(12 \, {\left(a^{4} b - a^{3} b^{2} - a^{2} b^{3} + a b^{4}\right)} \cosh\left(x\right)^{7} - 9 \, {\left(5 \, a^{4} b - 6 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 4 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(16 \, a^{5} + 15 \, a^{4} b - 32 \, a^{3} b^{2} - 9 \, a^{2} b^{3} + 18 \, a b^{4}\right)} \cosh\left(x\right)^{3} - {\left(8 \, a^{5} + 3 \, a^{4} b - 22 \, a^{3} b^{2} - 3 \, a^{2} b^{3} + 12 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{15 \, {\left(a^{6} \cosh\left(x\right)^{10} + 10 \, a^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + a^{6} \sinh\left(x\right)^{10} - 5 \, a^{6} \cosh\left(x\right)^{8} + 10 \, a^{6} \cosh\left(x\right)^{6} - 10 \, a^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, a^{6} \cosh\left(x\right)^{2} - a^{6}\right)} \sinh\left(x\right)^{8} + 5 \, a^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, a^{6} \cosh\left(x\right)^{3} - a^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, a^{6} \cosh\left(x\right)^{4} - 14 \, a^{6} \cosh\left(x\right)^{2} + a^{6}\right)} \sinh\left(x\right)^{6} - a^{6} + 4 \, {\left(63 \, a^{6} \cosh\left(x\right)^{5} - 70 \, a^{6} \cosh\left(x\right)^{3} + 15 \, a^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, a^{6} \cosh\left(x\right)^{6} - 35 \, a^{6} \cosh\left(x\right)^{4} + 15 \, a^{6} \cosh\left(x\right)^{2} - a^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, a^{6} \cosh\left(x\right)^{7} - 7 \, a^{6} \cosh\left(x\right)^{5} + 5 \, a^{6} \cosh\left(x\right)^{3} - a^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, a^{6} \cosh\left(x\right)^{8} - 28 \, a^{6} \cosh\left(x\right)^{6} + 30 \, a^{6} \cosh\left(x\right)^{4} - 12 \, a^{6} \cosh\left(x\right)^{2} + a^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(a^{6} \cosh\left(x\right)^{9} - 4 \, a^{6} \cosh\left(x\right)^{7} + 6 \, a^{6} \cosh\left(x\right)^{5} - 4 \, a^{6} \cosh\left(x\right)^{3} + a^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/15*(30*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^8 + 240*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)*sinh(x)^7 + 30*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*sinh(x)^8 - 30*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x)^6 - 30*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4 - 28*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^2)*sinh(x)^6 + 60*(28*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^3 - 3*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x))*sinh(x)^5 + 16*a^5 - 50*a^3*b^2 + 30*a*b^4 + 10*(16*a^5 + 15*a^4*b - 32*a^3*b^2 - 9*a^2*b^3 + 18*a*b^4)*cosh(x)^4 + 10*(16*a^5 + 15*a^4*b - 32*a^3*b^2 - 9*a^2*b^3 + 18*a*b^4 + 210*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^4 - 45*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x)^2)*sinh(x)^4 + 40*(42*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^5 - 15*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x)^3 + (16*a^5 + 15*a^4*b - 32*a^3*b^2 - 9*a^2*b^3 + 18*a*b^4)*cosh(x))*sinh(x)^3 - 10*(8*a^5 + 3*a^4*b - 22*a^3*b^2 - 3*a^2*b^3 + 12*a*b^4)*cosh(x)^2 + 10*(84*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^6 - 8*a^5 - 3*a^4*b + 22*a^3*b^2 + 3*a^2*b^3 - 12*a*b^4 - 45*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x)^4 + 6*(16*a^5 + 15*a^4*b - 32*a^3*b^2 - 9*a^2*b^3 + 18*a*b^4)*cosh(x)^2)*sinh(x)^2 - 15*((a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^10 + 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)*sinh(x)^9 + (a^4*b - 2*a^2*b^3 + b^5)*sinh(x)^10 - 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^8 - 5*(a^4*b - 2*a^2*b^3 + b^5 - 9*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 - (a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^7 + 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 + 10*(a^4*b - 2*a^2*b^3 + b^5 + 21*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 - 14*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 - 70*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 + 15*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^5 - a^4*b + 2*a^2*b^3 - b^5 - 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 + 10*(21*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 - a^4*b + 2*a^2*b^3 - b^5 - 35*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 + 15*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^7 - 7*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 + 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 - (a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^3 + 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2 + 5*(9*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^8 - 28*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 + a^4*b - 2*a^2*b^3 + b^5 + 30*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 - 12*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^2 + 10*((a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^9 - 4*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^7 + 6*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 - 4*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^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))) + 15*((a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^10 + 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)*sinh(x)^9 + (a^4*b - 2*a^2*b^3 + b^5)*sinh(x)^10 - 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^8 - 5*(a^4*b - 2*a^2*b^3 + b^5 - 9*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 - (a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^7 + 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 + 10*(a^4*b - 2*a^2*b^3 + b^5 + 21*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 - 14*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 - 70*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 + 15*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^5 - a^4*b + 2*a^2*b^3 - b^5 - 10*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 + 10*(21*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 - a^4*b + 2*a^2*b^3 - b^5 - 35*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 + 15*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^7 - 7*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 + 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 - (a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x)^3 + 5*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2 + 5*(9*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^8 - 28*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^6 + a^4*b - 2*a^2*b^3 + b^5 + 30*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^4 - 12*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^2 + 10*((a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^9 - 4*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^7 + 6*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^5 - 4*(a^4*b - 2*a^2*b^3 + b^5)*cosh(x)^3 + (a^4*b - 2*a^2*b^3 + b^5)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 20*(12*(a^4*b - a^3*b^2 - a^2*b^3 + a*b^4)*cosh(x)^7 - 9*(5*a^4*b - 6*a^3*b^2 - 3*a^2*b^3 + 4*a*b^4)*cosh(x)^5 + 2*(16*a^5 + 15*a^4*b - 32*a^3*b^2 - 9*a^2*b^3 + 18*a*b^4)*cosh(x)^3 - (8*a^5 + 3*a^4*b - 22*a^3*b^2 - 3*a^2*b^3 + 12*a*b^4)*cosh(x))*sinh(x))/(a^6*cosh(x)^10 + 10*a^6*cosh(x)*sinh(x)^9 + a^6*sinh(x)^10 - 5*a^6*cosh(x)^8 + 10*a^6*cosh(x)^6 - 10*a^6*cosh(x)^4 + 5*(9*a^6*cosh(x)^2 - a^6)*sinh(x)^8 + 5*a^6*cosh(x)^2 + 40*(3*a^6*cosh(x)^3 - a^6*cosh(x))*sinh(x)^7 + 10*(21*a^6*cosh(x)^4 - 14*a^6*cosh(x)^2 + a^6)*sinh(x)^6 - a^6 + 4*(63*a^6*cosh(x)^5 - 70*a^6*cosh(x)^3 + 15*a^6*cosh(x))*sinh(x)^5 + 10*(21*a^6*cosh(x)^6 - 35*a^6*cosh(x)^4 + 15*a^6*cosh(x)^2 - a^6)*sinh(x)^4 + 40*(3*a^6*cosh(x)^7 - 7*a^6*cosh(x)^5 + 5*a^6*cosh(x)^3 - a^6*cosh(x))*sinh(x)^3 + 5*(9*a^6*cosh(x)^8 - 28*a^6*cosh(x)^6 + 30*a^6*cosh(x)^4 - 12*a^6*cosh(x)^2 + a^6)*sinh(x)^2 + 10*(a^6*cosh(x)^9 - 4*a^6*cosh(x)^7 + 6*a^6*cosh(x)^5 - 4*a^6*cosh(x)^3 + a^6*cosh(x))*sinh(x))","B",0
90,1,43,0,0.519423," ","integrate(csch(x)/(I+tanh(x)),x, algorithm=""fricas"")","-\frac{1}{2} i \, \sqrt{2} \log\left(-\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} + e^{x}\right) + \frac{1}{2} i \, \sqrt{2} \log\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} + e^{x}\right) + i \, \log\left(e^{x} + 1\right) - i \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*I*sqrt(2)*log(-(1/2*I - 1/2)*sqrt(2) + e^x) + 1/2*I*sqrt(2)*log((1/2*I - 1/2)*sqrt(2) + e^x) + I*log(e^x + 1) - I*log(e^x - 1)","A",0
91,1,95,0,0.491780," ","integrate(cosh(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 5 \, \sinh\left(x\right)^{5} + 5 \, {\left(10 \, \cosh\left(x\right)^{2} + 9\right)} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{3} + 5 \, {\left(2 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 60 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) + 5 \, {\left(5 \, \cosh\left(x\right)^{4} + 27 \, \cosh\left(x\right)^{2} + 24 \, x + 12\right)} \sinh\left(x\right)}{384 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/384*(cosh(x)^5 + 5*cosh(x)*sinh(x)^4 + 5*sinh(x)^5 + 5*(10*cosh(x)^2 + 9)*sinh(x)^3 + 15*cosh(x)^3 + 5*(2*cosh(x)^3 + 9*cosh(x))*sinh(x)^2 + 60*(2*x - 1)*cosh(x) + 5*(5*cosh(x)^4 + 27*cosh(x)^2 + 24*x + 12)*sinh(x))/(cosh(x) + sinh(x))","B",0
92,1,60,0,0.565244," ","integrate(cosh(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{4} + 16 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 10\right)} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{2} + 16 \, {\left(\cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 45}{120 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/120*(cosh(x)^4 + 16*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 10)*sinh(x)^2 + 20*cosh(x)^2 + 16*(cosh(x)^3 + 5*cosh(x))*sinh(x) - 45)/(cosh(x) + sinh(x))","B",0
93,1,52,0,0.375638," ","integrate(cosh(x)^2/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 3 \, \sinh\left(x\right)^{3} + 6 \, {\left(2 \, x - 1\right)} \cosh\left(x\right) + 3 \, {\left(3 \, \cosh\left(x\right)^{2} + 4 \, x + 2\right)} \sinh\left(x\right)}{32 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/32*(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + 3*sinh(x)^3 + 6*(2*x - 1)*cosh(x) + 3*(3*cosh(x)^2 + 4*x + 2)*sinh(x))/(cosh(x) + sinh(x))","A",0
94,1,25,0,0.438622," ","integrate(cosh(x)/(1+tanh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 3}{6 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/6*(cosh(x)^2 + 4*cosh(x)*sinh(x) + sinh(x)^2 - 3)/(cosh(x) + sinh(x))","A",0
95,1,9,0,0.468030," ","integrate(sech(x)/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{1}{\cosh\left(x\right) + \sinh\left(x\right)}"," ",0,"-1/(cosh(x) + sinh(x))","A",0
96,1,20,0,0.572062," ","integrate(sech(x)^2/(1+tanh(x)),x, algorithm=""fricas"")","2 \, x - \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"2*x - log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
97,1,48,0,0.423128," ","integrate(sech(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\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,"2*((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*arctan(cosh(x) + sinh(x)) + cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
98,1,53,0,0.452717," ","integrate(sech(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{2}{\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,"-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
99,1,288,0,0.468974," ","integrate(sech(x)^5/(1+tanh(x)),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{5} + 15 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 3 \, \sinh\left(x\right)^{5} + 2 \, {\left(15 \, \cosh\left(x\right)^{2} + 4\right)} \sinh\left(x\right)^{3} + 8 \, \cosh\left(x\right)^{3} + 6 \, {\left(5 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\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)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 8 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right)}{3 \, {\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,"1/3*(3*cosh(x)^5 + 15*cosh(x)*sinh(x)^4 + 3*sinh(x)^5 + 2*(15*cosh(x)^2 + 4)*sinh(x)^3 + 8*cosh(x)^3 + 6*(5*cosh(x)^3 + 4*cosh(x))*sinh(x)^2 + 3*(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)*arctan(cosh(x) + sinh(x)) + 3*(5*cosh(x)^4 + 8*cosh(x)^2 - 1)*sinh(x) - 3*cosh(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
100,1,140,0,0.479945," ","integrate(sech(x)^6/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(5 \, \cosh\left(x\right) + 3 \, \sinh\left(x\right)\right)}}{3 \, {\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} + 4\right)} \sinh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{5} + 5 \, {\left(7 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(35 \, \cosh\left(x\right)^{4} + 40 \, \cosh\left(x\right)^{2} + 6\right)} \sinh\left(x\right)^{3} + 6 \, \cosh\left(x\right)^{3} + {\left(21 \, \cosh\left(x\right)^{5} + 40 \, \cosh\left(x\right)^{3} + 18 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(7 \, \cosh\left(x\right)^{6} + 20 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right) + 5 \, \cosh\left(x\right)\right)}}"," ",0,"-4/3*(5*cosh(x) + 3*sinh(x))/(cosh(x)^7 + 7*cosh(x)*sinh(x)^6 + sinh(x)^7 + (21*cosh(x)^2 + 4)*sinh(x)^5 + 4*cosh(x)^5 + 5*(7*cosh(x)^3 + 4*cosh(x))*sinh(x)^4 + (35*cosh(x)^4 + 40*cosh(x)^2 + 6)*sinh(x)^3 + 6*cosh(x)^3 + (21*cosh(x)^5 + 40*cosh(x)^3 + 18*cosh(x))*sinh(x)^2 + (7*cosh(x)^6 + 20*cosh(x)^4 + 18*cosh(x)^2 + 3)*sinh(x) + 5*cosh(x))","B",0
101,1,670,0,0.500279," ","integrate(sech(x)^7/(1+tanh(x)),x, algorithm=""fricas"")","\frac{15 \, \cosh\left(x\right)^{9} + 135 \, \cosh\left(x\right) \sinh\left(x\right)^{8} + 15 \, \sinh\left(x\right)^{9} + 10 \, {\left(54 \, \cosh\left(x\right)^{2} + 7\right)} \sinh\left(x\right)^{7} + 70 \, \cosh\left(x\right)^{7} + 70 \, {\left(18 \, \cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 2 \, {\left(945 \, \cosh\left(x\right)^{4} + 735 \, \cosh\left(x\right)^{2} + 64\right)} \sinh\left(x\right)^{5} + 128 \, \cosh\left(x\right)^{5} + 10 \, {\left(189 \, \cosh\left(x\right)^{5} + 245 \, \cosh\left(x\right)^{3} + 64 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(126 \, \cosh\left(x\right)^{6} + 245 \, \cosh\left(x\right)^{4} + 128 \, \cosh\left(x\right)^{2} - 7\right)} \sinh\left(x\right)^{3} - 70 \, \cosh\left(x\right)^{3} + 10 \, {\left(54 \, \cosh\left(x\right)^{7} + 147 \, \cosh\left(x\right)^{5} + 128 \, \cosh\left(x\right)^{3} - 21 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 15 \, {\left(\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} + 1\right)} \sinh\left(x\right)^{8} + 5 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 5 \, \cosh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \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) + 5 \, {\left(27 \, \cosh\left(x\right)^{8} + 98 \, \cosh\left(x\right)^{6} + 128 \, \cosh\left(x\right)^{4} - 42 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right) - 15 \, \cosh\left(x\right)}{20 \, {\left(\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} + 1\right)} \sinh\left(x\right)^{8} + 5 \, \cosh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} + 14 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 10 \, \cosh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} + 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 10 \, \cosh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} + 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} + 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} + 12 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 5 \, \cosh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} + 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} + 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/20*(15*cosh(x)^9 + 135*cosh(x)*sinh(x)^8 + 15*sinh(x)^9 + 10*(54*cosh(x)^2 + 7)*sinh(x)^7 + 70*cosh(x)^7 + 70*(18*cosh(x)^3 + 7*cosh(x))*sinh(x)^6 + 2*(945*cosh(x)^4 + 735*cosh(x)^2 + 64)*sinh(x)^5 + 128*cosh(x)^5 + 10*(189*cosh(x)^5 + 245*cosh(x)^3 + 64*cosh(x))*sinh(x)^4 + 10*(126*cosh(x)^6 + 245*cosh(x)^4 + 128*cosh(x)^2 - 7)*sinh(x)^3 - 70*cosh(x)^3 + 10*(54*cosh(x)^7 + 147*cosh(x)^5 + 128*cosh(x)^3 - 21*cosh(x))*sinh(x)^2 + 15*(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + 5*(9*cosh(x)^2 + 1)*sinh(x)^8 + 5*cosh(x)^8 + 40*(3*cosh(x)^3 + cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 + 14*cosh(x)^2 + 1)*sinh(x)^6 + 10*cosh(x)^6 + 4*(63*cosh(x)^5 + 70*cosh(x)^3 + 15*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^4 + 10*cosh(x)^4 + 40*(3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + 1)*sinh(x)^2 + 5*cosh(x)^2 + 10*(cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + 5*(27*cosh(x)^8 + 98*cosh(x)^6 + 128*cosh(x)^4 - 42*cosh(x)^2 - 3)*sinh(x) - 15*cosh(x))/(cosh(x)^10 + 10*cosh(x)*sinh(x)^9 + sinh(x)^10 + 5*(9*cosh(x)^2 + 1)*sinh(x)^8 + 5*cosh(x)^8 + 40*(3*cosh(x)^3 + cosh(x))*sinh(x)^7 + 10*(21*cosh(x)^4 + 14*cosh(x)^2 + 1)*sinh(x)^6 + 10*cosh(x)^6 + 4*(63*cosh(x)^5 + 70*cosh(x)^3 + 15*cosh(x))*sinh(x)^5 + 10*(21*cosh(x)^6 + 35*cosh(x)^4 + 15*cosh(x)^2 + 1)*sinh(x)^4 + 10*cosh(x)^4 + 40*(3*cosh(x)^7 + 7*cosh(x)^5 + 5*cosh(x)^3 + cosh(x))*sinh(x)^3 + 5*(9*cosh(x)^8 + 28*cosh(x)^6 + 30*cosh(x)^4 + 12*cosh(x)^2 + 1)*sinh(x)^2 + 5*cosh(x)^2 + 10*(cosh(x)^9 + 4*cosh(x)^7 + 6*cosh(x)^5 + 4*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
102,1,5275,0,0.716316," ","integrate(sech(x)^8/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{30 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{10} + 300 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + 30 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \sinh\left(x\right)^{10} + 30 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{8} + 30 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6} + 45 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 240 \, {\left(15 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 20 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)^{6} + 20 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6} + 315 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{4} + 42 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 30 \, a^{5} b - 80 \, a^{3} b^{3} + 66 \, a b^{5} + 120 \, {\left(63 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{5} + 14 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{3} + {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 60 \, {\left(5 \, a^{5} b - 2 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 5 \, a^{2} b^{4} + 13 \, a b^{5} - 3 \, b^{6}\right)} \cosh\left(x\right)^{4} + 60 \, {\left(105 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{6} + 5 \, a^{5} b - 2 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 5 \, a^{2} b^{4} + 13 \, a b^{5} - 3 \, b^{6} + 35 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{4} + 5 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 80 \, {\left(45 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{7} + 21 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(5 \, a^{5} b - 2 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 5 \, a^{2} b^{4} + 13 \, a b^{5} - 3 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(25 \, a^{5} b - 5 \, a^{4} b^{2} - 70 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 61 \, a b^{5} - 5 \, b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(225 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{8} + 140 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{6} + 25 \, a^{5} b - 5 \, a^{4} b^{2} - 70 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 61 \, a b^{5} - 5 \, b^{6} + 50 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)^{4} + 60 \, {\left(5 \, a^{5} b - 2 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 5 \, a^{2} b^{4} + 13 \, a b^{5} - 3 \, b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 15 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{12} + 12 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{11} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{12} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{10} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{10} + 20 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 24 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 5 \, {\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)^{7} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(231 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 5 \, a^{6} - 15 \, a^{4} b^{2} + 15 \, a^{2} b^{4} - 5 \, b^{6} + 315 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 105 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 24 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 63 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 84 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 70 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{9} + 36 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{10} + 45 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 70 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 50 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{11} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{9} + 10 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 10 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \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) - 15 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{12} + 12 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{11} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{12} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{10} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{10} + 20 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 18 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 24 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 30 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 5 \, {\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)^{7} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(231 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 5 \, a^{6} - 15 \, a^{4} b^{2} + 15 \, a^{2} b^{4} - 5 \, b^{6} + 315 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 105 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 24 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 63 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(33 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 84 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 70 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{9} + 36 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 42 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 20 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(11 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{10} + 45 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{8} + 70 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 50 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 12 \, {\left({\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{11} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{9} + 10 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{7} + 10 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 12 \, {\left(25 \, {\left(a^{5} b - a^{4} b^{2} - 2 \, a^{3} b^{3} + 2 \, a^{2} b^{4} + a b^{5} - b^{6}\right)} \cosh\left(x\right)^{9} + 20 \, {\left(5 \, a^{5} b - 4 \, a^{4} b^{2} - 12 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 7 \, a b^{5} - 6 \, b^{6}\right)} \cosh\left(x\right)^{7} + 10 \, {\left(15 \, a^{5} b - 9 \, a^{4} b^{2} - 40 \, a^{3} b^{3} + 24 \, a^{2} b^{4} + 33 \, a b^{5} - 23 \, b^{6}\right)} \cosh\left(x\right)^{5} + 20 \, {\left(5 \, a^{5} b - 2 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 5 \, a^{2} b^{4} + 13 \, a b^{5} - 3 \, b^{6}\right)} \cosh\left(x\right)^{3} + {\left(25 \, a^{5} b - 5 \, a^{4} b^{2} - 70 \, a^{3} b^{3} + 10 \, a^{2} b^{4} + 61 \, a b^{5} - 5 \, b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{15 \, {\left(b^{7} \cosh\left(x\right)^{12} + 12 \, b^{7} \cosh\left(x\right) \sinh\left(x\right)^{11} + b^{7} \sinh\left(x\right)^{12} + 6 \, b^{7} \cosh\left(x\right)^{10} + 15 \, b^{7} \cosh\left(x\right)^{8} + 20 \, b^{7} \cosh\left(x\right)^{6} + 15 \, b^{7} \cosh\left(x\right)^{4} + 6 \, {\left(11 \, b^{7} \cosh\left(x\right)^{2} + b^{7}\right)} \sinh\left(x\right)^{10} + 20 \, {\left(11 \, b^{7} \cosh\left(x\right)^{3} + 3 \, b^{7} \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 6 \, b^{7} \cosh\left(x\right)^{2} + 15 \, {\left(33 \, b^{7} \cosh\left(x\right)^{4} + 18 \, b^{7} \cosh\left(x\right)^{2} + b^{7}\right)} \sinh\left(x\right)^{8} + 24 \, {\left(33 \, b^{7} \cosh\left(x\right)^{5} + 30 \, b^{7} \cosh\left(x\right)^{3} + 5 \, b^{7} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + b^{7} + 4 \, {\left(231 \, b^{7} \cosh\left(x\right)^{6} + 315 \, b^{7} \cosh\left(x\right)^{4} + 105 \, b^{7} \cosh\left(x\right)^{2} + 5 \, b^{7}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(33 \, b^{7} \cosh\left(x\right)^{7} + 63 \, b^{7} \cosh\left(x\right)^{5} + 35 \, b^{7} \cosh\left(x\right)^{3} + 5 \, b^{7} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 15 \, {\left(33 \, b^{7} \cosh\left(x\right)^{8} + 84 \, b^{7} \cosh\left(x\right)^{6} + 70 \, b^{7} \cosh\left(x\right)^{4} + 20 \, b^{7} \cosh\left(x\right)^{2} + b^{7}\right)} \sinh\left(x\right)^{4} + 20 \, {\left(11 \, b^{7} \cosh\left(x\right)^{9} + 36 \, b^{7} \cosh\left(x\right)^{7} + 42 \, b^{7} \cosh\left(x\right)^{5} + 20 \, b^{7} \cosh\left(x\right)^{3} + 3 \, b^{7} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 6 \, {\left(11 \, b^{7} \cosh\left(x\right)^{10} + 45 \, b^{7} \cosh\left(x\right)^{8} + 70 \, b^{7} \cosh\left(x\right)^{6} + 50 \, b^{7} \cosh\left(x\right)^{4} + 15 \, b^{7} \cosh\left(x\right)^{2} + b^{7}\right)} \sinh\left(x\right)^{2} + 12 \, {\left(b^{7} \cosh\left(x\right)^{11} + 5 \, b^{7} \cosh\left(x\right)^{9} + 10 \, b^{7} \cosh\left(x\right)^{7} + 10 \, b^{7} \cosh\left(x\right)^{5} + 5 \, b^{7} \cosh\left(x\right)^{3} + b^{7} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/15*(30*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^10 + 300*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)*sinh(x)^9 + 30*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*sinh(x)^10 + 30*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^8 + 30*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6 + 45*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^2)*sinh(x)^8 + 240*(15*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^3 + (5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x))*sinh(x)^7 + 20*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x)^6 + 20*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6 + 315*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^4 + 42*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^2)*sinh(x)^6 + 30*a^5*b - 80*a^3*b^3 + 66*a*b^5 + 120*(63*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^5 + 14*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^3 + (15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x))*sinh(x)^5 + 60*(5*a^5*b - 2*a^4*b^2 - 14*a^3*b^3 + 5*a^2*b^4 + 13*a*b^5 - 3*b^6)*cosh(x)^4 + 60*(105*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^6 + 5*a^5*b - 2*a^4*b^2 - 14*a^3*b^3 + 5*a^2*b^4 + 13*a*b^5 - 3*b^6 + 35*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^4 + 5*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x)^2)*sinh(x)^4 + 80*(45*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^7 + 21*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^5 + 5*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x)^3 + 3*(5*a^5*b - 2*a^4*b^2 - 14*a^3*b^3 + 5*a^2*b^4 + 13*a*b^5 - 3*b^6)*cosh(x))*sinh(x)^3 + 6*(25*a^5*b - 5*a^4*b^2 - 70*a^3*b^3 + 10*a^2*b^4 + 61*a*b^5 - 5*b^6)*cosh(x)^2 + 6*(225*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^8 + 140*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^6 + 25*a^5*b - 5*a^4*b^2 - 70*a^3*b^3 + 10*a^2*b^4 + 61*a*b^5 - 5*b^6 + 50*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x)^4 + 60*(5*a^5*b - 2*a^4*b^2 - 14*a^3*b^3 + 5*a^2*b^4 + 13*a*b^5 - 3*b^6)*cosh(x)^2)*sinh(x)^2 + 15*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^12 + 12*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^11 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^12 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^10 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^10 + 20*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^9 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 18*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^8 + 24*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 30*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^7 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 4*(231*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 5*a^6 - 15*a^4*b^2 + 15*a^2*b^4 - 5*b^6 + 315*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 105*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 24*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 63*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 35*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^5 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 15*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 84*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 70*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 20*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^9 + 36*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 42*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 6*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^10 + 45*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 70*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 50*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 12*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^11 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^9 + 10*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 10*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - 15*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^12 + 12*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)*sinh(x)^11 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sinh(x)^12 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^10 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^10 + 20*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^9 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 18*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^8 + 24*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 30*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^7 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 4*(231*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + 5*a^6 - 15*a^4*b^2 + 15*a^2*b^4 - 5*b^6 + 315*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 105*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 24*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 63*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 35*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^5 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 15*(33*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 84*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 70*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 20*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^9 + 36*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 42*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 20*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 6*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2 + 6*(11*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^10 + 45*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^8 + 70*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^6 + a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 50*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^4 + 15*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 12*((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^11 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^9 + 10*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^7 + 10*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^5 + 5*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x)^3 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 12*(25*(a^5*b - a^4*b^2 - 2*a^3*b^3 + 2*a^2*b^4 + a*b^5 - b^6)*cosh(x)^9 + 20*(5*a^5*b - 4*a^4*b^2 - 12*a^3*b^3 + 10*a^2*b^4 + 7*a*b^5 - 6*b^6)*cosh(x)^7 + 10*(15*a^5*b - 9*a^4*b^2 - 40*a^3*b^3 + 24*a^2*b^4 + 33*a*b^5 - 23*b^6)*cosh(x)^5 + 20*(5*a^5*b - 2*a^4*b^2 - 14*a^3*b^3 + 5*a^2*b^4 + 13*a*b^5 - 3*b^6)*cosh(x)^3 + (25*a^5*b - 5*a^4*b^2 - 70*a^3*b^3 + 10*a^2*b^4 + 61*a*b^5 - 5*b^6)*cosh(x))*sinh(x))/(b^7*cosh(x)^12 + 12*b^7*cosh(x)*sinh(x)^11 + b^7*sinh(x)^12 + 6*b^7*cosh(x)^10 + 15*b^7*cosh(x)^8 + 20*b^7*cosh(x)^6 + 15*b^7*cosh(x)^4 + 6*(11*b^7*cosh(x)^2 + b^7)*sinh(x)^10 + 20*(11*b^7*cosh(x)^3 + 3*b^7*cosh(x))*sinh(x)^9 + 6*b^7*cosh(x)^2 + 15*(33*b^7*cosh(x)^4 + 18*b^7*cosh(x)^2 + b^7)*sinh(x)^8 + 24*(33*b^7*cosh(x)^5 + 30*b^7*cosh(x)^3 + 5*b^7*cosh(x))*sinh(x)^7 + b^7 + 4*(231*b^7*cosh(x)^6 + 315*b^7*cosh(x)^4 + 105*b^7*cosh(x)^2 + 5*b^7)*sinh(x)^6 + 24*(33*b^7*cosh(x)^7 + 63*b^7*cosh(x)^5 + 35*b^7*cosh(x)^3 + 5*b^7*cosh(x))*sinh(x)^5 + 15*(33*b^7*cosh(x)^8 + 84*b^7*cosh(x)^6 + 70*b^7*cosh(x)^4 + 20*b^7*cosh(x)^2 + b^7)*sinh(x)^4 + 20*(11*b^7*cosh(x)^9 + 36*b^7*cosh(x)^7 + 42*b^7*cosh(x)^5 + 20*b^7*cosh(x)^3 + 3*b^7*cosh(x))*sinh(x)^3 + 6*(11*b^7*cosh(x)^10 + 45*b^7*cosh(x)^8 + 70*b^7*cosh(x)^6 + 50*b^7*cosh(x)^4 + 15*b^7*cosh(x)^2 + b^7)*sinh(x)^2 + 12*(b^7*cosh(x)^11 + 5*b^7*cosh(x)^9 + 10*b^7*cosh(x)^7 + 10*b^7*cosh(x)^5 + 5*b^7*cosh(x)^3 + b^7*cosh(x))*sinh(x))","B",0
103,1,1827,0,0.586266," ","integrate(sech(x)^6/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{6 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right)^{6} + 36 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + 6 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \sinh\left(x\right)^{6} + 6 \, {\left(3 \, a^{3} b - 2 \, a^{2} b^{2} - 5 \, a b^{3} + 4 \, b^{4}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(3 \, a^{3} b - 2 \, a^{2} b^{2} - 5 \, a b^{3} + 4 \, b^{4} + 15 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 6 \, a^{3} b - 10 \, a b^{3} + 24 \, {\left(5 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{3} b - 2 \, a^{2} b^{2} - 5 \, a b^{3} + 4 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(9 \, a^{3} b - 3 \, a^{2} b^{2} - 17 \, a b^{3} + 3 \, b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(45 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, a^{3} b - 3 \, a^{2} b^{2} - 17 \, a b^{3} + 3 \, b^{4} + 18 \, {\left(3 \, a^{3} b - 2 \, a^{2} b^{2} - 5 \, a b^{3} + 4 \, b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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)^{5} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 8 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + 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} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + 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) - 3 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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)^{5} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 8 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + 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} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + 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^{2} b^{2} + b^{4}\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) + 4 \, {\left(9 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(3 \, a^{3} b - 2 \, a^{2} b^{2} - 5 \, a b^{3} + 4 \, b^{4}\right)} \cosh\left(x\right)^{3} + {\left(9 \, a^{3} b - 3 \, a^{2} b^{2} - 17 \, a b^{3} + 3 \, b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\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)}}"," ",0,"1/3*(6*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)^6 + 36*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)*sinh(x)^5 + 6*(a^3*b - a^2*b^2 - a*b^3 + b^4)*sinh(x)^6 + 6*(3*a^3*b - 2*a^2*b^2 - 5*a*b^3 + 4*b^4)*cosh(x)^4 + 6*(3*a^3*b - 2*a^2*b^2 - 5*a*b^3 + 4*b^4 + 15*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)^2)*sinh(x)^4 + 6*a^3*b - 10*a*b^3 + 24*(5*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)^3 + (3*a^3*b - 2*a^2*b^2 - 5*a*b^3 + 4*b^4)*cosh(x))*sinh(x)^3 + 2*(9*a^3*b - 3*a^2*b^2 - 17*a*b^3 + 3*b^4)*cosh(x)^2 + 2*(45*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)^4 + 9*a^3*b - 3*a^2*b^2 - 17*a*b^3 + 3*b^4 + 18*(3*a^3*b - 2*a^2*b^2 - 5*a*b^3 + 4*b^4)*cosh(x)^2)*sinh(x)^2 + 3*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 8*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^7 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^8 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 4*(a^4 - 2*a^2*b^2 + b^4 + 7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^5 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 2*(35*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 3*a^4 - 6*a^2*b^2 + 3*b^4 + 30*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 8*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 10*(a^4 - 2*a^2*b^2 + 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^2*b^2 + b^4)*cosh(x)^2 + 4*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - 3*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 8*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^7 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^8 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 4*(a^4 - 2*a^2*b^2 + b^4 + 7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^5 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 2*(35*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 3*a^4 - 6*a^2*b^2 + 3*b^4 + 30*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 8*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 10*(a^4 - 2*a^2*b^2 + 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^2*b^2 + b^4)*cosh(x)^2 + 4*(7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 4*(9*(a^3*b - a^2*b^2 - a*b^3 + b^4)*cosh(x)^5 + 6*(3*a^3*b - 2*a^2*b^2 - 5*a*b^3 + 4*b^4)*cosh(x)^3 + (9*a^3*b - 3*a^2*b^2 - 17*a*b^3 + 3*b^4)*cosh(x))*sinh(x))/(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))","B",0
104,1,430,0,0.610986," ","integrate(sech(x)^4/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left(a b - b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a b - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(a b - b^{2}\right)} \sinh\left(x\right)^{2} + 2 \, a b + {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 4 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 4 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{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)}"," ",0,"-(2*(a*b - b^2)*cosh(x)^2 + 4*(a*b - b^2)*cosh(x)*sinh(x) + 2*(a*b - b^2)*sinh(x)^2 + 2*a*b + ((a^2 - b^2)*cosh(x)^4 + 4*(a^2 - b^2)*cosh(x)*sinh(x)^3 + (a^2 - b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 4*((a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - ((a^2 - b^2)*cosh(x)^4 + 4*(a^2 - b^2)*cosh(x)*sinh(x)^3 + (a^2 - b^2)*sinh(x)^4 + 2*(a^2 - b^2)*cosh(x)^2 + 2*(3*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 4*((a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))))/(b^3*cosh(x)^4 + 4*b^3*cosh(x)*sinh(x)^3 + b^3*sinh(x)^4 + 2*b^3*cosh(x)^2 + b^3 + 2*(3*b^3*cosh(x)^2 + b^3)*sinh(x)^2 + 4*(b^3*cosh(x)^3 + b^3*cosh(x))*sinh(x))","B",0
105,1,42,0,0.573495," ","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
106,1,42,0,0.857170," ","integrate(1/(a+b*tanh(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
107,1,331,0,0.415284," ","integrate(cosh(x)^2/(a+b*tanh(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
108,1,1281,0,0.826412," ","integrate(cosh(x)^4/(a+b*tanh(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(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, 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(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, 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(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, 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(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, 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(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(2 \, a^{5} + a^{4} b - 6 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + 4 \, a b^{4} + 3 \, 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} - 2 \, a^{5} - a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} - 4 \, a b^{4} - 3 \, b^{5} + 15 \, {\left(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} x \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 64 \, {\left(b^{5} \cosh\left(x\right)^{4} + 4 \, b^{5} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, b^{5} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{5} \sinh\left(x\right)^{4}\right)} \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(2 \, a^{5} - a^{4} b - 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + 4 \, a b^{4} - 3 \, b^{5}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(3 \, a^{5} - 10 \, a^{3} b^{2} + 15 \, a b^{4} + 8 \, b^{5}\right)} x \cosh\left(x\right)^{3} - {\left(2 \, a^{5} + a^{4} b - 6 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + 4 \, a b^{4} + 3 \, 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*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*b^5)*cosh(x)^6 + 4*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*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*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*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*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*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*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*b^5)*cosh(x)^2 + 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*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*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*b^5)*cosh(x)^3 + 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*x*cosh(x))*sinh(x)^3 - 4*(2*a^5 + a^4*b - 6*a^3*b^2 - 4*a^2*b^3 + 4*a*b^4 + 3*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 - 2*a^5 - a^4*b + 6*a^3*b^2 + 4*a^2*b^3 - 4*a*b^4 - 3*b^5 + 15*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*b^5)*cosh(x)^4 + 12*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*x*cosh(x)^2)*sinh(x)^2 - 64*(b^5*cosh(x)^4 + 4*b^5*cosh(x)^3*sinh(x) + 6*b^5*cosh(x)^2*sinh(x)^2 + 4*b^5*cosh(x)*sinh(x)^3 + b^5*sinh(x)^4)*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*(2*a^5 - a^4*b - 6*a^3*b^2 + 4*a^2*b^3 + 4*a*b^4 - 3*b^5)*cosh(x)^5 + 4*(3*a^5 - 10*a^3*b^2 + 15*a*b^4 + 8*b^5)*x*cosh(x)^3 - (2*a^5 + a^4*b - 6*a^3*b^2 - 4*a^2*b^3 + 4*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)^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
109,1,6509,0,0.943109," ","integrate(sech(x)^7/(a+b*tanh(x)),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{9} + 135 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{8} + 15 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \sinh\left(x\right)^{9} + 10 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{7} + 10 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5} + 54 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{7} + 70 \, {\left(18 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(360 \, a^{4} b - 880 \, a^{2} b^{3} + 712 \, b^{5} + 945 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 105 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(189 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(126 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{6} + 48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5} + 35 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{4} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(54 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{7} + 21 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{5} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 60 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{10} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(21 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 14 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 40 \, {\left(3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 28 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 12 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{9} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\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) + 15 \, {\left({\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \sinh\left(x\right)^{10} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 9 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 21 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 35 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 28 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 30 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{9} + 4 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, 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) + 15 \, {\left(8 \, a^{4} b + 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} - 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right) + 5 \, {\left(27 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{8} + 14 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{6} + 24 \, a^{4} b + 12 \, a^{3} b^{2} - 48 \, a^{2} b^{3} - 21 \, a b^{4} + 24 \, b^{5} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{60 \, {\left(b^{6} \cosh\left(x\right)^{10} + 10 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + b^{6} \sinh\left(x\right)^{10} + 5 \, b^{6} \cosh\left(x\right)^{8} + 10 \, b^{6} \cosh\left(x\right)^{6} + 10 \, b^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{8} + 5 \, b^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{4} + 14 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} + b^{6} + 4 \, {\left(63 \, b^{6} \cosh\left(x\right)^{5} + 70 \, b^{6} \cosh\left(x\right)^{3} + 15 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{6} + 35 \, b^{6} \cosh\left(x\right)^{4} + 15 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{7} + 7 \, b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{8} + 28 \, b^{6} \cosh\left(x\right)^{6} + 30 \, b^{6} \cosh\left(x\right)^{4} + 12 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(b^{6} \cosh\left(x\right)^{9} + 4 \, b^{6} \cosh\left(x\right)^{7} + 6 \, b^{6} \cosh\left(x\right)^{5} + 4 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{15 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{9} + 135 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{8} + 15 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \sinh\left(x\right)^{9} + 10 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{7} + 10 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5} + 54 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{7} + 70 \, {\left(18 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{3} + {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(360 \, a^{4} b - 880 \, a^{2} b^{3} + 712 \, b^{5} + 945 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{4} + 105 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{5} + 10 \, {\left(189 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{5} + 35 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 10 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(126 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{6} + 48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5} + 35 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{4} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 10 \, {\left(54 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{7} + 21 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{5} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 120 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{10} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(21 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 14 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 35 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 15 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 40 \, {\left(3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 28 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 30 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} - 2 \, a^{2} b^{2} + b^{4} + 12 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{9} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\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) + 15 \, {\left({\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \sinh\left(x\right)^{10} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 9 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 21 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 14 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 70 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 10 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 35 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 7 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 28 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4} + 30 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{9} + 4 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{5} - 20 \, 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) + 15 \, {\left(8 \, a^{4} b + 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} - 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right) + 5 \, {\left(27 \, {\left(8 \, a^{4} b - 4 \, a^{3} b^{2} - 16 \, a^{2} b^{3} + 7 \, a b^{4} + 8 \, b^{5}\right)} \cosh\left(x\right)^{8} + 14 \, {\left(48 \, a^{4} b - 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} + 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{6} + 24 \, a^{4} b + 12 \, a^{3} b^{2} - 48 \, a^{2} b^{3} - 21 \, a b^{4} + 24 \, b^{5} + 16 \, {\left(45 \, a^{4} b - 110 \, a^{2} b^{3} + 89 \, b^{5}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(48 \, a^{4} b + 12 \, a^{3} b^{2} - 112 \, a^{2} b^{3} - 33 \, a b^{4} + 64 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{60 \, {\left(b^{6} \cosh\left(x\right)^{10} + 10 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + b^{6} \sinh\left(x\right)^{10} + 5 \, b^{6} \cosh\left(x\right)^{8} + 10 \, b^{6} \cosh\left(x\right)^{6} + 10 \, b^{6} \cosh\left(x\right)^{4} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{8} + 5 \, b^{6} \cosh\left(x\right)^{2} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{4} + 14 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} + b^{6} + 4 \, {\left(63 \, b^{6} \cosh\left(x\right)^{5} + 70 \, b^{6} \cosh\left(x\right)^{3} + 15 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, b^{6} \cosh\left(x\right)^{6} + 35 \, b^{6} \cosh\left(x\right)^{4} + 15 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, b^{6} \cosh\left(x\right)^{7} + 7 \, b^{6} \cosh\left(x\right)^{5} + 5 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, b^{6} \cosh\left(x\right)^{8} + 28 \, b^{6} \cosh\left(x\right)^{6} + 30 \, b^{6} \cosh\left(x\right)^{4} + 12 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(b^{6} \cosh\left(x\right)^{9} + 4 \, b^{6} \cosh\left(x\right)^{7} + 6 \, b^{6} \cosh\left(x\right)^{5} + 4 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[1/60*(15*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^9 + 135*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)*sinh(x)^8 + 15*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*sinh(x)^9 + 10*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^7 + 10*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5 + 54*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^2)*sinh(x)^7 + 70*(18*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^3 + (48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x))*sinh(x)^6 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^5 + 2*(360*a^4*b - 880*a^2*b^3 + 712*b^5 + 945*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^4 + 105*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^2)*sinh(x)^5 + 10*(189*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^5 + 35*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^3 + 8*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x))*sinh(x)^4 + 10*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x)^3 + 10*(126*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^6 + 48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5 + 35*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^4 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^2)*sinh(x)^3 + 10*(54*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^7 + 21*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^5 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^3 + 3*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x))*sinh(x)^2 + 60*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^10 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^9 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^10 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 5*(a^4 - 2*a^2*b^2 + b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^7 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 10*(21*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 14*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 70*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^5 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 10*(21*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 35*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 40*(3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 + 5*(9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 28*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 30*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 12*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 10*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^9 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*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)) + 15*((8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^10 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)*sinh(x)^9 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*sinh(x)^10 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 9*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^8 + 40*(3*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^7 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 21*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 14*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^6 + 4*(63*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 70*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 15*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^5 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 10*(21*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 35*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 15*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^4 + 40*(3*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 + 7*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^3 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 5*(9*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 28*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 30*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 12*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^2 + 10*((8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^9 + 4*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 + 6*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 4*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 15*(8*a^4*b + 4*a^3*b^2 - 16*a^2*b^3 - 7*a*b^4 + 8*b^5)*cosh(x) + 5*(27*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^8 + 14*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^6 + 24*a^4*b + 12*a^3*b^2 - 48*a^2*b^3 - 21*a*b^4 + 24*b^5 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^4 + 6*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x)^2)*sinh(x))/(b^6*cosh(x)^10 + 10*b^6*cosh(x)*sinh(x)^9 + b^6*sinh(x)^10 + 5*b^6*cosh(x)^8 + 10*b^6*cosh(x)^6 + 10*b^6*cosh(x)^4 + 5*(9*b^6*cosh(x)^2 + b^6)*sinh(x)^8 + 5*b^6*cosh(x)^2 + 40*(3*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^7 + 10*(21*b^6*cosh(x)^4 + 14*b^6*cosh(x)^2 + b^6)*sinh(x)^6 + b^6 + 4*(63*b^6*cosh(x)^5 + 70*b^6*cosh(x)^3 + 15*b^6*cosh(x))*sinh(x)^5 + 10*(21*b^6*cosh(x)^6 + 35*b^6*cosh(x)^4 + 15*b^6*cosh(x)^2 + b^6)*sinh(x)^4 + 40*(3*b^6*cosh(x)^7 + 7*b^6*cosh(x)^5 + 5*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^3 + 5*(9*b^6*cosh(x)^8 + 28*b^6*cosh(x)^6 + 30*b^6*cosh(x)^4 + 12*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 10*(b^6*cosh(x)^9 + 4*b^6*cosh(x)^7 + 6*b^6*cosh(x)^5 + 4*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)), 1/60*(15*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^9 + 135*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)*sinh(x)^8 + 15*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*sinh(x)^9 + 10*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^7 + 10*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5 + 54*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^2)*sinh(x)^7 + 70*(18*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^3 + (48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x))*sinh(x)^6 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^5 + 2*(360*a^4*b - 880*a^2*b^3 + 712*b^5 + 945*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^4 + 105*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^2)*sinh(x)^5 + 10*(189*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^5 + 35*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^3 + 8*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x))*sinh(x)^4 + 10*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x)^3 + 10*(126*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^6 + 48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5 + 35*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^4 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^2)*sinh(x)^3 + 10*(54*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^7 + 21*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^5 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^3 + 3*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x))*sinh(x)^2 + 120*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^10 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^9 + (a^4 - 2*a^2*b^2 + b^4)*sinh(x)^10 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 5*(a^4 - 2*a^2*b^2 + b^4 + 9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^7 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 10*(21*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 14*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^6 + 4*(63*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 70*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^5 + 10*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + 10*(21*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 35*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 15*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 40*(3*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 7*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 5*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2 + 5*(9*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^8 + 28*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^6 + 30*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 - 2*a^2*b^2 + b^4 + 12*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 10*((a^4 - 2*a^2*b^2 + b^4)*cosh(x)^9 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^7 + 6*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^5 + 4*(a^4 - 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 - 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 15*((8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^10 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)*sinh(x)^9 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*sinh(x)^10 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 9*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^8 + 40*(3*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^7 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 21*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 14*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^6 + 4*(63*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 70*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 15*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^5 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 10*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 10*(21*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 35*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 15*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^4 + 40*(3*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 + 7*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^3 + 5*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 5*(9*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 28*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 + 8*a^5 - 20*a^3*b^2 + 15*a*b^4 + 30*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 12*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^2 + 10*((8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^9 + 4*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 + 6*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 4*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + (8*a^5 - 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 15*(8*a^4*b + 4*a^3*b^2 - 16*a^2*b^3 - 7*a*b^4 + 8*b^5)*cosh(x) + 5*(27*(8*a^4*b - 4*a^3*b^2 - 16*a^2*b^3 + 7*a*b^4 + 8*b^5)*cosh(x)^8 + 14*(48*a^4*b - 12*a^3*b^2 - 112*a^2*b^3 + 33*a*b^4 + 64*b^5)*cosh(x)^6 + 24*a^4*b + 12*a^3*b^2 - 48*a^2*b^3 - 21*a*b^4 + 24*b^5 + 16*(45*a^4*b - 110*a^2*b^3 + 89*b^5)*cosh(x)^4 + 6*(48*a^4*b + 12*a^3*b^2 - 112*a^2*b^3 - 33*a*b^4 + 64*b^5)*cosh(x)^2)*sinh(x))/(b^6*cosh(x)^10 + 10*b^6*cosh(x)*sinh(x)^9 + b^6*sinh(x)^10 + 5*b^6*cosh(x)^8 + 10*b^6*cosh(x)^6 + 10*b^6*cosh(x)^4 + 5*(9*b^6*cosh(x)^2 + b^6)*sinh(x)^8 + 5*b^6*cosh(x)^2 + 40*(3*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^7 + 10*(21*b^6*cosh(x)^4 + 14*b^6*cosh(x)^2 + b^6)*sinh(x)^6 + b^6 + 4*(63*b^6*cosh(x)^5 + 70*b^6*cosh(x)^3 + 15*b^6*cosh(x))*sinh(x)^5 + 10*(21*b^6*cosh(x)^6 + 35*b^6*cosh(x)^4 + 15*b^6*cosh(x)^2 + b^6)*sinh(x)^4 + 40*(3*b^6*cosh(x)^7 + 7*b^6*cosh(x)^5 + 5*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x)^3 + 5*(9*b^6*cosh(x)^8 + 28*b^6*cosh(x)^6 + 30*b^6*cosh(x)^4 + 12*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 10*(b^6*cosh(x)^9 + 4*b^6*cosh(x)^7 + 6*b^6*cosh(x)^5 + 4*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x))]","B",0
110,1,2043,0,0.757176," ","integrate(sech(x)^5/(a+b*tanh(x)),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + 3 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \sinh\left(x\right)^{5} + 4 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(6 \, a^{2} b - 10 \, b^{3} + 15 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(5 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a^{2} + b^{2}} \log\left(\frac{{\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) + 3 \, {\left({\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2} + 5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, a^{3} - 3 \, a b^{2} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 2 \, a^{3} - 3 \, a b^{2} + 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(2 \, 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) + 3 \, {\left(2 \, a^{2} b + a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right) + 3 \, {\left(5 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, a^{2} b + a b^{2} - 2 \, b^{3} + 4 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} + 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} + 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} + 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{3 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{5} + 15 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + 3 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \sinh\left(x\right)^{5} + 4 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(6 \, a^{2} b - 10 \, b^{3} + 15 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} + 6 \, {\left(5 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} - b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} - b^{2} + 6 \, {\left({\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} - b^{2}} \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({\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2} + 5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, a^{3} - 3 \, a b^{2} + 3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 2 \, a^{3} - 3 \, a b^{2} + 6 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(2 \, 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) + 3 \, {\left(2 \, a^{2} b + a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right) + 3 \, {\left(5 \, {\left(2 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} \cosh\left(x\right)^{4} + 2 \, a^{2} b + a b^{2} - 2 \, b^{3} + 4 \, {\left(3 \, a^{2} b - 5 \, b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{3 \, {\left(b^{4} \cosh\left(x\right)^{6} + 6 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{4} \sinh\left(x\right)^{6} + 3 \, b^{4} \cosh\left(x\right)^{4} + 3 \, b^{4} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + b^{4} + 4 \, {\left(5 \, b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{4} \cosh\left(x\right)^{4} + 6 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{4} \cosh\left(x\right)^{5} + 2 \, b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/3*(3*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^5 + 15*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)*sinh(x)^4 + 3*(2*a^2*b - a*b^2 - 2*b^3)*sinh(x)^5 + 4*(3*a^2*b - 5*b^3)*cosh(x)^3 + 2*(6*a^2*b - 10*b^3 + 15*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^2)*sinh(x)^3 + 6*(5*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^3 + 2*(3*a^2*b - 5*b^3)*cosh(x))*sinh(x)^2 + 3*((a^2 - b^2)*cosh(x)^6 + 6*(a^2 - b^2)*cosh(x)*sinh(x)^5 + (a^2 - b^2)*sinh(x)^6 + 3*(a^2 - b^2)*cosh(x)^4 + 3*(5*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^4 + 4*(5*(a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x))*sinh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2 + 3*(5*(a^2 - b^2)*cosh(x)^4 + 6*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 6*((a^2 - b^2)*cosh(x)^5 + 2*(a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(-a^2 + b^2)*log(((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)) + 3*((2*a^3 - 3*a*b^2)*cosh(x)^6 + 6*(2*a^3 - 3*a*b^2)*cosh(x)*sinh(x)^5 + (2*a^3 - 3*a*b^2)*sinh(x)^6 + 3*(2*a^3 - 3*a*b^2)*cosh(x)^4 + 3*(2*a^3 - 3*a*b^2 + 5*(2*a^3 - 3*a*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(2*a^3 - 3*a*b^2)*cosh(x)^3 + 3*(2*a^3 - 3*a*b^2)*cosh(x))*sinh(x)^3 + 2*a^3 - 3*a*b^2 + 3*(2*a^3 - 3*a*b^2)*cosh(x)^2 + 3*(5*(2*a^3 - 3*a*b^2)*cosh(x)^4 + 2*a^3 - 3*a*b^2 + 6*(2*a^3 - 3*a*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((2*a^3 - 3*a*b^2)*cosh(x)^5 + 2*(2*a^3 - 3*a*b^2)*cosh(x)^3 + (2*a^3 - 3*a*b^2)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 3*(2*a^2*b + a*b^2 - 2*b^3)*cosh(x) + 3*(5*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^4 + 2*a^2*b + a*b^2 - 2*b^3 + 4*(3*a^2*b - 5*b^3)*cosh(x)^2)*sinh(x))/(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 + 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 + b^4)*sinh(x)^4 + b^4 + 4*(5*b^4*cosh(x)^3 + 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 + 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 + 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x)), -1/3*(3*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^5 + 15*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)*sinh(x)^4 + 3*(2*a^2*b - a*b^2 - 2*b^3)*sinh(x)^5 + 4*(3*a^2*b - 5*b^3)*cosh(x)^3 + 2*(6*a^2*b - 10*b^3 + 15*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^2)*sinh(x)^3 + 6*(5*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^3 + 2*(3*a^2*b - 5*b^3)*cosh(x))*sinh(x)^2 + 6*((a^2 - b^2)*cosh(x)^6 + 6*(a^2 - b^2)*cosh(x)*sinh(x)^5 + (a^2 - b^2)*sinh(x)^6 + 3*(a^2 - b^2)*cosh(x)^4 + 3*(5*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^4 + 4*(5*(a^2 - b^2)*cosh(x)^3 + 3*(a^2 - b^2)*cosh(x))*sinh(x)^3 + 3*(a^2 - b^2)*cosh(x)^2 + 3*(5*(a^2 - b^2)*cosh(x)^4 + 6*(a^2 - b^2)*cosh(x)^2 + a^2 - b^2)*sinh(x)^2 + a^2 - b^2 + 6*((a^2 - b^2)*cosh(x)^5 + 2*(a^2 - b^2)*cosh(x)^3 + (a^2 - b^2)*cosh(x))*sinh(x))*sqrt(a^2 - b^2)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + 3*((2*a^3 - 3*a*b^2)*cosh(x)^6 + 6*(2*a^3 - 3*a*b^2)*cosh(x)*sinh(x)^5 + (2*a^3 - 3*a*b^2)*sinh(x)^6 + 3*(2*a^3 - 3*a*b^2)*cosh(x)^4 + 3*(2*a^3 - 3*a*b^2 + 5*(2*a^3 - 3*a*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(2*a^3 - 3*a*b^2)*cosh(x)^3 + 3*(2*a^3 - 3*a*b^2)*cosh(x))*sinh(x)^3 + 2*a^3 - 3*a*b^2 + 3*(2*a^3 - 3*a*b^2)*cosh(x)^2 + 3*(5*(2*a^3 - 3*a*b^2)*cosh(x)^4 + 2*a^3 - 3*a*b^2 + 6*(2*a^3 - 3*a*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((2*a^3 - 3*a*b^2)*cosh(x)^5 + 2*(2*a^3 - 3*a*b^2)*cosh(x)^3 + (2*a^3 - 3*a*b^2)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + 3*(2*a^2*b + a*b^2 - 2*b^3)*cosh(x) + 3*(5*(2*a^2*b - a*b^2 - 2*b^3)*cosh(x)^4 + 2*a^2*b + a*b^2 - 2*b^3 + 4*(3*a^2*b - 5*b^3)*cosh(x)^2)*sinh(x))/(b^4*cosh(x)^6 + 6*b^4*cosh(x)*sinh(x)^5 + b^4*sinh(x)^6 + 3*b^4*cosh(x)^4 + 3*b^4*cosh(x)^2 + 3*(5*b^4*cosh(x)^2 + b^4)*sinh(x)^4 + b^4 + 4*(5*b^4*cosh(x)^3 + 3*b^4*cosh(x))*sinh(x)^3 + 3*(5*b^4*cosh(x)^4 + 6*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 6*(b^4*cosh(x)^5 + 2*b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))]","B",0
111,1,309,0,0.849720," ","integrate(sech(x)^3/(a+b*tanh(x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{-a^{2} + b^{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \log\left(\frac{{\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 \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} + a\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, b \cosh\left(x\right) + 2 \, b \sinh\left(x\right)}{b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} + b^{2}}, \frac{2 \, {\left(\sqrt{a^{2} - b^{2}} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \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 \cosh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) \sinh\left(x\right) + a \sinh\left(x\right)^{2} + a\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + b \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} + b^{2}}\right]"," ",0,"[(sqrt(-a^2 + b^2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*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*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 + a)*arctan(cosh(x) + sinh(x)) + 2*b*cosh(x) + 2*b*sinh(x))/(b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 + b^2), 2*(sqrt(a^2 - b^2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*arctan(sqrt(a^2 - b^2)/((a + b)*cosh(x) + (a + b)*sinh(x))) + (a*cosh(x)^2 + 2*a*cosh(x)*sinh(x) + a*sinh(x)^2 + a)*arctan(cosh(x) + sinh(x)) + b*cosh(x) + b*sinh(x))/(b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 + b^2)]","B",0
112,1,148,0,0.475564," ","integrate(sech(x)/(a+b*tanh(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
113,1,435,0,0.708131," ","integrate(cosh(x)/(a+b*tanh(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
114,1,1871,0,0.711073," ","integrate(cosh(x)^3/(a+b*tanh(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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{5} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, 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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, 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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)} \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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, 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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{5} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, 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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, 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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 48 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)} \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} - a^{4} b - 10 \, a^{3} b^{2} + 6 \, a^{2} b^{3} + 7 \, a b^{4} - 5 \, b^{5}\right)} \cosh\left(x\right)^{3} - {\left(3 \, a^{5} + a^{4} b - 10 \, a^{3} b^{2} - 6 \, a^{2} b^{3} + 7 \, a b^{4} + 5 \, 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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^4 + 3*(3*a^5 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x))*sinh(x)^3 - 3*(3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*b^5)*cosh(x)^2 - 3*(3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^2)*sinh(x)^2 - 24*(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3)*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^3 - (3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^4 + 3*(3*a^5 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x))*sinh(x)^3 - 3*(3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*b^5)*cosh(x)^2 - 3*(3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^2)*sinh(x)^2 - 48*(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3)*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 - a^4*b - 10*a^3*b^2 + 6*a^2*b^3 + 7*a*b^4 - 5*b^5)*cosh(x)^3 - (3*a^5 + a^4*b - 10*a^3*b^2 - 6*a^2*b^3 + 7*a*b^4 + 5*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
115,1,571,0,0.804329," ","integrate(tanh(x)^5/(1+tanh(x)),x, algorithm=""fricas"")","\frac{54 \, x \cosh\left(x\right)^{8} + 432 \, x \cosh\left(x\right) \sinh\left(x\right)^{7} + 54 \, x \sinh\left(x\right)^{8} + 3 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{6} + 3 \, {\left(504 \, x \cosh\left(x\right)^{2} + 54 \, x + 17\right)} \sinh\left(x\right)^{6} + 18 \, {\left(168 \, x \cosh\left(x\right)^{3} + {\left(54 \, x + 17\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 81 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{4} + 9 \, {\left(420 \, x \cosh\left(x\right)^{4} + 5 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{2} + 18 \, x + 9\right)} \sinh\left(x\right)^{4} + 12 \, {\left(252 \, x \cosh\left(x\right)^{5} + 5 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{3} + 27 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(54 \, x + 65\right)} \cosh\left(x\right)^{2} + {\left(1512 \, x \cosh\left(x\right)^{6} + 45 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{4} + 486 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{2} + 54 \, x + 65\right)} \sinh\left(x\right)^{2} - 24 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(70 \, \cosh\left(x\right)^{4} + 45 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} + 15 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} + 45 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} + 9 \, \cosh\left(x\right)^{5} + 6 \, \cosh\left(x\right)^{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) + 2 \, {\left(216 \, x \cosh\left(x\right)^{7} + 9 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{5} + 162 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{3} + {\left(54 \, x + 65\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 3}{12 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{6} + 3 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} + 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(70 \, \cosh\left(x\right)^{4} + 45 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} + 15 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} + 45 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} + 9 \, \cosh\left(x\right)^{5} + 6 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/12*(54*x*cosh(x)^8 + 432*x*cosh(x)*sinh(x)^7 + 54*x*sinh(x)^8 + 3*(54*x + 17)*cosh(x)^6 + 3*(504*x*cosh(x)^2 + 54*x + 17)*sinh(x)^6 + 18*(168*x*cosh(x)^3 + (54*x + 17)*cosh(x))*sinh(x)^5 + 81*(2*x + 1)*cosh(x)^4 + 9*(420*x*cosh(x)^4 + 5*(54*x + 17)*cosh(x)^2 + 18*x + 9)*sinh(x)^4 + 12*(252*x*cosh(x)^5 + 5*(54*x + 17)*cosh(x)^3 + 27*(2*x + 1)*cosh(x))*sinh(x)^3 + (54*x + 65)*cosh(x)^2 + (1512*x*cosh(x)^6 + 45*(54*x + 17)*cosh(x)^4 + 486*(2*x + 1)*cosh(x)^2 + 54*x + 65)*sinh(x)^2 - 24*(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 + 3)*sinh(x)^6 + 3*cosh(x)^6 + 2*(28*cosh(x)^3 + 9*cosh(x))*sinh(x)^5 + (70*cosh(x)^4 + 45*cosh(x)^2 + 3)*sinh(x)^4 + 3*cosh(x)^4 + 4*(14*cosh(x)^5 + 15*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 + 45*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(4*cosh(x)^7 + 9*cosh(x)^5 + 6*cosh(x)^3 + cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 2*(216*x*cosh(x)^7 + 9*(54*x + 17)*cosh(x)^5 + 162*(2*x + 1)*cosh(x)^3 + (54*x + 65)*cosh(x))*sinh(x) + 3)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 + 3)*sinh(x)^6 + 3*cosh(x)^6 + 2*(28*cosh(x)^3 + 9*cosh(x))*sinh(x)^5 + (70*cosh(x)^4 + 45*cosh(x)^2 + 3)*sinh(x)^4 + 3*cosh(x)^4 + 4*(14*cosh(x)^5 + 15*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 + 45*cosh(x)^4 + 18*cosh(x)^2 + 1)*sinh(x)^2 + cosh(x)^2 + 2*(4*cosh(x)^7 + 9*cosh(x)^5 + 6*cosh(x)^3 + cosh(x))*sinh(x))","B",0
116,1,354,0,0.468740," ","integrate(tanh(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{14 \, x \cosh\left(x\right)^{6} + 84 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + 14 \, x \sinh\left(x\right)^{6} + {\left(28 \, x + 1\right)} \cosh\left(x\right)^{4} + {\left(210 \, x \cosh\left(x\right)^{2} + 28 \, x + 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left(70 \, x \cosh\left(x\right)^{3} + {\left(28 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(7 \, x + 5\right)} \cosh\left(x\right)^{2} + 2 \, {\left(105 \, x \cosh\left(x\right)^{4} + 3 \, {\left(28 \, x + 1\right)} \cosh\left(x\right)^{2} + 7 \, x + 5\right)} \sinh\left(x\right)^{2} - 8 \, {\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(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(21 \, x \cosh\left(x\right)^{5} + {\left(28 \, x + 1\right)} \cosh\left(x\right)^{3} + {\left(7 \, x + 5\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{4 \, {\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,"-1/4*(14*x*cosh(x)^6 + 84*x*cosh(x)*sinh(x)^5 + 14*x*sinh(x)^6 + (28*x + 1)*cosh(x)^4 + (210*x*cosh(x)^2 + 28*x + 1)*sinh(x)^4 + 4*(70*x*cosh(x)^3 + (28*x + 1)*cosh(x))*sinh(x)^3 + 2*(7*x + 5)*cosh(x)^2 + 2*(105*x*cosh(x)^4 + 3*(28*x + 1)*cosh(x)^2 + 7*x + 5)*sinh(x)^2 - 8*(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(2*cosh(x)/(cosh(x) - sinh(x))) + 4*(21*x*cosh(x)^5 + (28*x + 1)*cosh(x)^3 + (7*x + 5)*cosh(x))*sinh(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
117,1,186,0,0.484962," ","integrate(tanh(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","\frac{10 \, x \cosh\left(x\right)^{4} + 40 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + 10 \, x \sinh\left(x\right)^{4} + {\left(10 \, x + 9\right)} \cosh\left(x\right)^{2} + {\left(60 \, x \cosh\left(x\right)^{2} + 10 \, x + 9\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} + {\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 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(20 \, x \cosh\left(x\right)^{3} + {\left(10 \, x + 9\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{4 \, {\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,"1/4*(10*x*cosh(x)^4 + 40*x*cosh(x)*sinh(x)^3 + 10*x*sinh(x)^4 + (10*x + 9)*cosh(x)^2 + (60*x*cosh(x)^2 + 10*x + 9)*sinh(x)^2 - 4*(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*cosh(x)/(cosh(x) - sinh(x))) + 2*(20*x*cosh(x)^3 + (10*x + 9)*cosh(x))*sinh(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
118,1,73,0,0.707418," ","integrate(tanh(x)^2/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{6 \, x \cosh\left(x\right)^{2} + 12 \, x \cosh\left(x\right) \sinh\left(x\right) + 6 \, x \sinh\left(x\right)^{2} - 4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 1}{4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"-1/4*(6*x*cosh(x)^2 + 12*x*cosh(x)*sinh(x) + 6*x*sinh(x)^2 - 4*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*log(2*cosh(x)/(cosh(x) - sinh(x))) + 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
119,1,26,0,0.651110," ","integrate(tanh(x)/(1+tanh(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))","B",0
120,1,26,0,0.485271," ","integrate(1/(1+tanh(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))","B",0
121,1,73,0,0.765088," ","integrate(coth(x)/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{6 \, x \cosh\left(x\right)^{2} + 12 \, x \cosh\left(x\right) \sinh\left(x\right) + 6 \, x \sinh\left(x\right)^{2} - 4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 1}{4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"-1/4*(6*x*cosh(x)^2 + 12*x*cosh(x)*sinh(x) + 6*x*sinh(x)^2 - 4*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*log(2*sinh(x)/(cosh(x) - sinh(x))) - 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
122,1,196,0,0.575014," ","integrate(coth(x)^2/(1+tanh(x)),x, algorithm=""fricas"")","\frac{10 \, x \cosh\left(x\right)^{4} + 40 \, x \cosh\left(x\right) \sinh\left(x\right)^{3} + 10 \, x \sinh\left(x\right)^{4} - {\left(10 \, x + 9\right)} \cosh\left(x\right)^{2} + {\left(60 \, x \cosh\left(x\right)^{2} - 10 \, x - 9\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} + {\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(20 \, x \cosh\left(x\right)^{3} - {\left(10 \, x + 9\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{4 \, {\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,"1/4*(10*x*cosh(x)^4 + 40*x*cosh(x)*sinh(x)^3 + 10*x*sinh(x)^4 - (10*x + 9)*cosh(x)^2 + (60*x*cosh(x)^2 - 10*x - 9)*sinh(x)^2 - 4*(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*(20*x*cosh(x)^3 - (10*x + 9)*cosh(x))*sinh(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
123,1,357,0,0.535554," ","integrate(coth(x)^3/(1+tanh(x)),x, algorithm=""fricas"")","-\frac{14 \, x \cosh\left(x\right)^{6} + 84 \, x \cosh\left(x\right) \sinh\left(x\right)^{5} + 14 \, x \sinh\left(x\right)^{6} - {\left(28 \, x + 1\right)} \cosh\left(x\right)^{4} + {\left(210 \, x \cosh\left(x\right)^{2} - 28 \, x - 1\right)} \sinh\left(x\right)^{4} + 4 \, {\left(70 \, x \cosh\left(x\right)^{3} - {\left(28 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(7 \, x + 5\right)} \cosh\left(x\right)^{2} + 2 \, {\left(105 \, x \cosh\left(x\right)^{4} - 3 \, {\left(28 \, x + 1\right)} \cosh\left(x\right)^{2} + 7 \, x + 5\right)} \sinh\left(x\right)^{2} - 8 \, {\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(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(21 \, x \cosh\left(x\right)^{5} - {\left(28 \, x + 1\right)} \cosh\left(x\right)^{3} + {\left(7 \, x + 5\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 1}{4 \, {\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,"-1/4*(14*x*cosh(x)^6 + 84*x*cosh(x)*sinh(x)^5 + 14*x*sinh(x)^6 - (28*x + 1)*cosh(x)^4 + (210*x*cosh(x)^2 - 28*x - 1)*sinh(x)^4 + 4*(70*x*cosh(x)^3 - (28*x + 1)*cosh(x))*sinh(x)^3 + 2*(7*x + 5)*cosh(x)^2 + 2*(105*x*cosh(x)^4 - 3*(28*x + 1)*cosh(x)^2 + 7*x + 5)*sinh(x)^2 - 8*(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(2*sinh(x)/(cosh(x) - sinh(x))) + 4*(21*x*cosh(x)^5 - (28*x + 1)*cosh(x)^3 + (7*x + 5)*cosh(x))*sinh(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
124,1,582,0,0.502418," ","integrate(coth(x)^4/(1+tanh(x)),x, algorithm=""fricas"")","\frac{54 \, x \cosh\left(x\right)^{8} + 432 \, x \cosh\left(x\right) \sinh\left(x\right)^{7} + 54 \, x \sinh\left(x\right)^{8} - 3 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{6} + 3 \, {\left(504 \, x \cosh\left(x\right)^{2} - 54 \, x - 17\right)} \sinh\left(x\right)^{6} + 18 \, {\left(168 \, x \cosh\left(x\right)^{3} - {\left(54 \, x + 17\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 81 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{4} + 9 \, {\left(420 \, x \cosh\left(x\right)^{4} - 5 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{2} + 18 \, x + 9\right)} \sinh\left(x\right)^{4} + 12 \, {\left(252 \, x \cosh\left(x\right)^{5} - 5 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{3} + 27 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - {\left(54 \, x + 65\right)} \cosh\left(x\right)^{2} + {\left(1512 \, x \cosh\left(x\right)^{6} - 45 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{4} + 486 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{2} - 54 \, x - 65\right)} \sinh\left(x\right)^{2} - 24 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(70 \, \cosh\left(x\right)^{4} - 45 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} + 6 \, \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(216 \, x \cosh\left(x\right)^{7} - 9 \, {\left(54 \, x + 17\right)} \cosh\left(x\right)^{5} + 162 \, {\left(2 \, x + 1\right)} \cosh\left(x\right)^{3} - {\left(54 \, x + 65\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 3}{12 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(70 \, \cosh\left(x\right)^{4} - 45 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 18 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} + 6 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/12*(54*x*cosh(x)^8 + 432*x*cosh(x)*sinh(x)^7 + 54*x*sinh(x)^8 - 3*(54*x + 17)*cosh(x)^6 + 3*(504*x*cosh(x)^2 - 54*x - 17)*sinh(x)^6 + 18*(168*x*cosh(x)^3 - (54*x + 17)*cosh(x))*sinh(x)^5 + 81*(2*x + 1)*cosh(x)^4 + 9*(420*x*cosh(x)^4 - 5*(54*x + 17)*cosh(x)^2 + 18*x + 9)*sinh(x)^4 + 12*(252*x*cosh(x)^5 - 5*(54*x + 17)*cosh(x)^3 + 27*(2*x + 1)*cosh(x))*sinh(x)^3 - (54*x + 65)*cosh(x)^2 + (1512*x*cosh(x)^6 - 45*(54*x + 17)*cosh(x)^4 + 486*(2*x + 1)*cosh(x)^2 - 54*x - 65)*sinh(x)^2 - 24*(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 - 3)*sinh(x)^6 - 3*cosh(x)^6 + 2*(28*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 + (70*cosh(x)^4 - 45*cosh(x)^2 + 3)*sinh(x)^4 + 3*cosh(x)^4 + 4*(14*cosh(x)^5 - 15*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 - 45*cosh(x)^4 + 18*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(4*cosh(x)^7 - 9*cosh(x)^5 + 6*cosh(x)^3 - cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*(216*x*cosh(x)^7 - 9*(54*x + 17)*cosh(x)^5 + 162*(2*x + 1)*cosh(x)^3 - (54*x + 65)*cosh(x))*sinh(x) + 3)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 - 3)*sinh(x)^6 - 3*cosh(x)^6 + 2*(28*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 + (70*cosh(x)^4 - 45*cosh(x)^2 + 3)*sinh(x)^4 + 3*cosh(x)^4 + 4*(14*cosh(x)^5 - 15*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 - 45*cosh(x)^4 + 18*cosh(x)^2 - 1)*sinh(x)^2 - cosh(x)^2 + 2*(4*cosh(x)^7 - 9*cosh(x)^5 + 6*cosh(x)^3 - cosh(x))*sinh(x))","B",0
125,1,252,0,0.602372," ","integrate(tanh(x)*(1+tanh(x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(5 \, \sqrt{2} \cosh\left(x\right)^{3} + 15 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + 5 \, \sqrt{2} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 3 \, {\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} + 2 \, {\left(3 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\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} + 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,"-1/3*(2*sqrt(2)*(5*sqrt(2)*cosh(x)^3 + 15*sqrt(2)*cosh(x)*sinh(x)^2 + 5*sqrt(2)*sinh(x)^3 + 3*(5*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x) + 3*sqrt(2)*cosh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 3*(sqrt(2)*cosh(x)^4 + 4*sqrt(2)*cosh(x)*sinh(x)^3 + sqrt(2)*sinh(x)^4 + 2*(3*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 2*sqrt(2)*cosh(x)^2 + 4*(sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(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
126,1,129,0,0.581247," ","integrate((1+tanh(x))^(1/2)*tanh(x),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} {\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - {\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} + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\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,"-1/2*(4*sqrt(2)*(sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - (sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
127,1,85,0,0.464999," ","integrate(tanh(x)/(1+tanh(x))^(1/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{2} \cosh\left(x\right) + \sqrt{2} \sinh\left(x\right)\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right) + 4 \, \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}}}{4 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"1/4*((sqrt(2)*cosh(x) + sqrt(2)*sinh(x))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1) + 4*sqrt(cosh(x)/(cosh(x) - sinh(x))))/(cosh(x) + sinh(x))","B",0
128,1,168,0,0.481499," ","integrate(tanh(x)/(1+tanh(x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(2 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sqrt{2} \sinh\left(x\right)^{2} - \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 3 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} \sinh\left(x\right)^{3}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{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*(2*sqrt(2)*(2*sqrt(2)*cosh(x)^2 + 4*sqrt(2)*cosh(x)*sinh(x) + 2*sqrt(2)*sinh(x)^2 - sqrt(2))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 3*(sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x)^2*sinh(x) + 3*sqrt(2)*cosh(x)*sinh(x)^2 + sqrt(2)*sinh(x)^3)*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
129,1,429,0,0.689811," ","integrate(tanh(x)^2*(1+tanh(x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(9 \, \sqrt{2} \cosh\left(x\right)^{5} + 45 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{4} + 9 \, \sqrt{2} \sinh\left(x\right)^{5} + 10 \, {\left(9 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{3} + 10 \, \sqrt{2} \cosh\left(x\right)^{3} + 30 \, {\left(3 \, \sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 5 \, {\left(9 \, \sqrt{2} \cosh\left(x\right)^{4} + 6 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right) + 5 \, \sqrt{2} \cosh\left(x\right)\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 5 \, {\left(\sqrt{2} \cosh\left(x\right)^{6} + 6 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{2} \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{4} + 3 \, \sqrt{2} \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{4} + 6 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{5} + 2 \, \sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{5 \, {\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,"-1/5*(2*sqrt(2)*(9*sqrt(2)*cosh(x)^5 + 45*sqrt(2)*cosh(x)*sinh(x)^4 + 9*sqrt(2)*sinh(x)^5 + 10*(9*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^3 + 10*sqrt(2)*cosh(x)^3 + 30*(3*sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x)^2 + 5*(9*sqrt(2)*cosh(x)^4 + 6*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x) + 5*sqrt(2)*cosh(x))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 5*(sqrt(2)*cosh(x)^6 + 6*sqrt(2)*cosh(x)*sinh(x)^5 + sqrt(2)*sinh(x)^6 + 3*(5*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^4 + 3*sqrt(2)*cosh(x)^4 + 4*(5*sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x))*sinh(x)^3 + 3*(5*sqrt(2)*cosh(x)^4 + 6*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 3*sqrt(2)*cosh(x)^2 + 6*(sqrt(2)*cosh(x)^5 + 2*sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(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
130,1,237,0,0.615082," ","integrate((1+tanh(x))^(1/2)*tanh(x)^2,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{2} {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} \sinh\left(x\right)^{3}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - 3 \, {\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} + 2 \, {\left(3 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right)^{2} + 4 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) + \sqrt{2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{6 \, {\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,"-1/6*(8*sqrt(2)*(sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x)^2*sinh(x) + 3*sqrt(2)*cosh(x)*sinh(x)^2 + sqrt(2)*sinh(x)^3)*sqrt(cosh(x)/(cosh(x) - sinh(x))) - 3*(sqrt(2)*cosh(x)^4 + 4*sqrt(2)*cosh(x)*sinh(x)^3 + sqrt(2)*sinh(x)^4 + 2*(3*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 2*sqrt(2)*cosh(x)^2 + 4*(sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) + sqrt(2))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(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
131,1,182,0,0.824770," ","integrate(tanh(x)^2/(1+tanh(x))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(5 \, \sqrt{2} \cosh\left(x\right)^{2} + 10 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + 5 \, \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} - {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} \sinh\left(x\right)^{3} + {\left(3 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right) + \sqrt{2} \cosh\left(x\right)\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{4 \, {\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)}}"," ",0,"-1/4*(2*sqrt(2)*(5*sqrt(2)*cosh(x)^2 + 10*sqrt(2)*cosh(x)*sinh(x) + 5*sqrt(2)*sinh(x)^2 + sqrt(2))*sqrt(cosh(x)/(cosh(x) - sinh(x))) - (sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x)*sinh(x)^2 + sqrt(2)*sinh(x)^3 + (3*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x) + sqrt(2)*cosh(x))*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + cosh(x))","B",0
132,1,168,0,0.547225," ","integrate(tanh(x)^2/(1+tanh(x))^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2} {\left(8 \, \sqrt{2} \cosh\left(x\right)^{2} + 16 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + 8 \, \sqrt{2} \sinh\left(x\right)^{2} - \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} + 3 \, {\left(\sqrt{2} \cosh\left(x\right)^{3} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{2} + \sqrt{2} \sinh\left(x\right)^{3}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}} {\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} - 1\right)}{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*(2*sqrt(2)*(8*sqrt(2)*cosh(x)^2 + 16*sqrt(2)*cosh(x)*sinh(x) + 8*sqrt(2)*sinh(x)^2 - sqrt(2))*sqrt(cosh(x)/(cosh(x) - sinh(x))) + 3*(sqrt(2)*cosh(x)^3 + 3*sqrt(2)*cosh(x)^2*sinh(x) + 3*sqrt(2)*cosh(x)*sinh(x)^2 + sqrt(2)*sinh(x)^3)*log(-2*sqrt(2)*sqrt(cosh(x)/(cosh(x) - sinh(x)))*(cosh(x) + sinh(x)) - 2*cosh(x)^2 - 4*cosh(x)*sinh(x) - 2*sinh(x)^2 - 1))/(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)","B",0
133,1,1296,0,0.671206," ","integrate(tanh(x)^5/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{3 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{6} + 18 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right) \sinh\left(x\right)^{5} + 3 \, {\left(a b^{4} + b^{5}\right)} x \sinh\left(x\right)^{6} - 6 \, a^{4} b - 2 \, a^{2} b^{3} + 8 \, b^{5} - 3 \, {\left(2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{4} - 3 \, {\left(2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 2 \, a b^{4} - 4 \, b^{5} - 15 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{2} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \sinh\left(x\right)^{4} + 12 \, {\left(5 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{3} - {\left(2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(4 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(15 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{4} - 4 \, a^{4} b + 2 \, a^{3} b^{2} - 2 \, a b^{4} + 4 \, b^{5} - 6 \, {\left(2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \sinh\left(x\right)^{2} + 3 \, {\left(a b^{4} + b^{5}\right)} x - 3 \, {\left(a^{5} \cosh\left(x\right)^{6} + 6 \, a^{5} \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{5} \sinh\left(x\right)^{6} + 3 \, a^{5} \cosh\left(x\right)^{4} + 3 \, a^{5} \cosh\left(x\right)^{2} + a^{5} + 3 \, {\left(5 \, a^{5} \cosh\left(x\right)^{2} + a^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a^{5} \cosh\left(x\right)^{3} + 3 \, a^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{5} \cosh\left(x\right)^{4} + 6 \, a^{5} \cosh\left(x\right)^{2} + a^{5}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{5} \cosh\left(x\right)^{5} + 2 \, a^{5} \cosh\left(x\right)^{3} + a^{5} \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) + 3 \, {\left({\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{5} - a b^{4}\right)} \sinh\left(x\right)^{6} + a^{5} - a b^{4} + 3 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{5} - a b^{4} + 5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} - a b^{4} + 5 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{5} - a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} - a b^{4}\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) + 6 \, {\left(3 \, {\left(a b^{4} + b^{5}\right)} x \cosh\left(x\right)^{5} - 2 \, {\left(2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)^{3} - {\left(4 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a b^{4} - 4 \, b^{5} - 3 \, {\left(a b^{4} + b^{5}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{2} b^{4} - b^{6}\right)} \sinh\left(x\right)^{6} + a^{2} b^{4} - b^{6} + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{2} b^{4} - b^{6} + 5 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{2} b^{4} - b^{6} + 5 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} b^{4} - b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(3*(a*b^4 + b^5)*x*cosh(x)^6 + 18*(a*b^4 + b^5)*x*cosh(x)*sinh(x)^5 + 3*(a*b^4 + b^5)*x*sinh(x)^6 - 6*a^4*b - 2*a^2*b^3 + 8*b^5 - 3*(2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x)^4 - 3*(2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + 2*a*b^4 - 4*b^5 - 15*(a*b^4 + b^5)*x*cosh(x)^2 - 3*(a*b^4 + b^5)*x)*sinh(x)^4 + 12*(5*(a*b^4 + b^5)*x*cosh(x)^3 - (2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x))*sinh(x)^3 - 3*(4*a^4*b - 2*a^3*b^2 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x)^2 + 3*(15*(a*b^4 + b^5)*x*cosh(x)^4 - 4*a^4*b + 2*a^3*b^2 - 2*a*b^4 + 4*b^5 - 6*(2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x)^2 + 3*(a*b^4 + b^5)*x)*sinh(x)^2 + 3*(a*b^4 + b^5)*x - 3*(a^5*cosh(x)^6 + 6*a^5*cosh(x)*sinh(x)^5 + a^5*sinh(x)^6 + 3*a^5*cosh(x)^4 + 3*a^5*cosh(x)^2 + a^5 + 3*(5*a^5*cosh(x)^2 + a^5)*sinh(x)^4 + 4*(5*a^5*cosh(x)^3 + 3*a^5*cosh(x))*sinh(x)^3 + 3*(5*a^5*cosh(x)^4 + 6*a^5*cosh(x)^2 + a^5)*sinh(x)^2 + 6*(a^5*cosh(x)^5 + 2*a^5*cosh(x)^3 + a^5*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + 3*((a^5 - a*b^4)*cosh(x)^6 + 6*(a^5 - a*b^4)*cosh(x)*sinh(x)^5 + (a^5 - a*b^4)*sinh(x)^6 + a^5 - a*b^4 + 3*(a^5 - a*b^4)*cosh(x)^4 + 3*(a^5 - a*b^4 + 5*(a^5 - a*b^4)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^5 - a*b^4)*cosh(x)^3 + 3*(a^5 - a*b^4)*cosh(x))*sinh(x)^3 + 3*(a^5 - a*b^4)*cosh(x)^2 + 3*(a^5 - a*b^4 + 5*(a^5 - a*b^4)*cosh(x)^4 + 6*(a^5 - a*b^4)*cosh(x)^2)*sinh(x)^2 + 6*((a^5 - a*b^4)*cosh(x)^5 + 2*(a^5 - a*b^4)*cosh(x)^3 + (a^5 - a*b^4)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 6*(3*(a*b^4 + b^5)*x*cosh(x)^5 - 2*(2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x)^3 - (4*a^4*b - 2*a^3*b^2 + 2*a*b^4 - 4*b^5 - 3*(a*b^4 + b^5)*x)*cosh(x))*sinh(x))/((a^2*b^4 - b^6)*cosh(x)^6 + 6*(a^2*b^4 - b^6)*cosh(x)*sinh(x)^5 + (a^2*b^4 - b^6)*sinh(x)^6 + a^2*b^4 - b^6 + 3*(a^2*b^4 - b^6)*cosh(x)^4 + 3*(a^2*b^4 - b^6 + 5*(a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^2*b^4 - b^6)*cosh(x)^3 + 3*(a^2*b^4 - b^6)*cosh(x))*sinh(x)^3 + 3*(a^2*b^4 - b^6)*cosh(x)^2 + 3*(a^2*b^4 - b^6 + 5*(a^2*b^4 - b^6)*cosh(x)^4 + 6*(a^2*b^4 - b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^2*b^4 - b^6)*cosh(x)^5 + 2*(a^2*b^4 - b^6)*cosh(x)^3 + (a^2*b^4 - b^6)*cosh(x))*sinh(x))","B",0
134,1,644,0,0.716221," ","integrate(tanh(x)^4/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{{\left(a b^{3} + b^{4}\right)} x \cosh\left(x\right)^{4} + 4 \, {\left(a b^{3} + b^{4}\right)} x \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a b^{3} + b^{4}\right)} x \sinh\left(x\right)^{4} - 2 \, a^{3} b + 2 \, a b^{3} - 2 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4} - {\left(a b^{3} + b^{4}\right)} x\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4} - 3 \, {\left(a b^{3} + b^{4}\right)} x \cosh\left(x\right)^{2} - {\left(a b^{3} + b^{4}\right)} x\right)} \sinh\left(x\right)^{2} + {\left(a b^{3} + b^{4}\right)} x - {\left(a^{4} \cosh\left(x\right)^{4} + 4 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{4} \sinh\left(x\right)^{4} + 2 \, a^{4} \cosh\left(x\right)^{2} + a^{4} + 2 \, {\left(3 \, a^{4} \cosh\left(x\right)^{2} + a^{4}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{4} \cosh\left(x\right)^{3} + a^{4} \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) + {\left({\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - b^{4} + 2 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} - b^{4} + 3 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} - b^{4}\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) + 4 \, {\left({\left(a b^{3} + b^{4}\right)} x \cosh\left(x\right)^{3} - {\left(a^{3} b - a^{2} b^{2} - a b^{3} + b^{4} - {\left(a b^{3} + b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{2} b^{3} - b^{5} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} b^{3} - b^{5}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{3} - b^{5} + 3 \, {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} b^{3} - b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"((a*b^3 + b^4)*x*cosh(x)^4 + 4*(a*b^3 + b^4)*x*cosh(x)*sinh(x)^3 + (a*b^3 + b^4)*x*sinh(x)^4 - 2*a^3*b + 2*a*b^3 - 2*(a^3*b - a^2*b^2 - a*b^3 + b^4 - (a*b^3 + b^4)*x)*cosh(x)^2 - 2*(a^3*b - a^2*b^2 - a*b^3 + b^4 - 3*(a*b^3 + b^4)*x*cosh(x)^2 - (a*b^3 + b^4)*x)*sinh(x)^2 + (a*b^3 + b^4)*x - (a^4*cosh(x)^4 + 4*a^4*cosh(x)*sinh(x)^3 + a^4*sinh(x)^4 + 2*a^4*cosh(x)^2 + a^4 + 2*(3*a^4*cosh(x)^2 + a^4)*sinh(x)^2 + 4*(a^4*cosh(x)^3 + a^4*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + ((a^4 - b^4)*cosh(x)^4 + 4*(a^4 - b^4)*cosh(x)*sinh(x)^3 + (a^4 - b^4)*sinh(x)^4 + a^4 - b^4 + 2*(a^4 - b^4)*cosh(x)^2 + 2*(a^4 - b^4 + 3*(a^4 - b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - b^4)*cosh(x)^3 + (a^4 - b^4)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + 4*((a*b^3 + b^4)*x*cosh(x)^3 - (a^3*b - a^2*b^2 - a*b^3 + b^4 - (a*b^3 + b^4)*x)*cosh(x))*sinh(x))/(a^2*b^3 - b^5 + (a^2*b^3 - b^5)*cosh(x)^4 + 4*(a^2*b^3 - b^5)*cosh(x)*sinh(x)^3 + (a^2*b^3 - b^5)*sinh(x)^4 + 2*(a^2*b^3 - b^5)*cosh(x)^2 + 2*(a^2*b^3 - b^5 + 3*(a^2*b^3 - b^5)*cosh(x)^2)*sinh(x)^2 + 4*((a^2*b^3 - b^5)*cosh(x)^3 + (a^2*b^3 - b^5)*cosh(x))*sinh(x))","B",0
135,1,264,0,1.107579," ","integrate(tanh(x)^3/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{{\left(a b^{2} + b^{3}\right)} x \cosh\left(x\right)^{2} + 2 \, {\left(a b^{2} + b^{3}\right)} x \cosh\left(x\right) \sinh\left(x\right) + {\left(a b^{2} + b^{3}\right)} x \sinh\left(x\right)^{2} - 2 \, a^{2} b + 2 \, b^{3} + {\left(a b^{2} + b^{3}\right)} x - {\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} + a^{3}\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) + {\left(a^{3} - a b^{2} + {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} - a b^{2}\right)} \sinh\left(x\right)^{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} + {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"-((a*b^2 + b^3)*x*cosh(x)^2 + 2*(a*b^2 + b^3)*x*cosh(x)*sinh(x) + (a*b^2 + b^3)*x*sinh(x)^2 - 2*a^2*b + 2*b^3 + (a*b^2 + b^3)*x - (a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2 + a^3)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + (a^3 - a*b^2 + (a^3 - a*b^2)*cosh(x)^2 + 2*(a^3 - a*b^2)*cosh(x)*sinh(x) + (a^3 - a*b^2)*sinh(x)^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2*b^2 - b^4 + (a^2*b^2 - b^4)*cosh(x)^2 + 2*(a^2*b^2 - b^4)*cosh(x)*sinh(x) + (a^2*b^2 - b^4)*sinh(x)^2)","B",0
136,1,76,0,0.597180," ","integrate(tanh(x)^2/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{a^{2} \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) - {\left(a b + b^{2}\right)} x - {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} b - b^{3}}"," ",0,"-(a^2*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - (a*b + b^2)*x - (a^2 - b^2)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2*b - b^3)","A",0
137,1,43,0,0.563452," ","integrate(tanh(x)/(a+b*tanh(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
138,1,42,0,0.498971," ","integrate(1/(a+b*tanh(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
139,1,73,0,0.541705," ","integrate(coth(x)/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{b^{2} \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) - {\left(a^{2} + a b\right)} x + {\left(a^{2} - b^{2}\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{3} - a b^{2}}"," ",0,"(b^2*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - (a^2 + a*b)*x + (a^2 - b^2)*log(2*sinh(x)/(cosh(x) - sinh(x))))/(a^3 - a*b^2)","A",0
140,1,271,0,0.787745," ","integrate(coth(x)^2/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{{\left(a^{3} + a^{2} b\right)} x \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} + a^{2} b\right)} x \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{3} + a^{2} b\right)} x \sinh\left(x\right)^{2} - 2 \, a^{3} + 2 \, a b^{2} - {\left(a^{3} + a^{2} b\right)} x - {\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} - b^{3}\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) + {\left(a^{2} b - b^{3} - {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b - b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{2} b - b^{3}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{4} - a^{2} b^{2} - {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{4} - a^{2} b^{2}\right)} \sinh\left(x\right)^{2}}"," ",0,"-((a^3 + a^2*b)*x*cosh(x)^2 + 2*(a^3 + a^2*b)*x*cosh(x)*sinh(x) + (a^3 + a^2*b)*x*sinh(x)^2 - 2*a^3 + 2*a*b^2 - (a^3 + a^2*b)*x - (b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2 - b^3)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) + (a^2*b - b^3 - (a^2*b - b^3)*cosh(x)^2 - 2*(a^2*b - b^3)*cosh(x)*sinh(x) - (a^2*b - b^3)*sinh(x)^2)*log(2*sinh(x)/(cosh(x) - sinh(x))))/(a^4 - a^2*b^2 - (a^4 - a^2*b^2)*cosh(x)^2 - 2*(a^4 - a^2*b^2)*cosh(x)*sinh(x) - (a^4 - a^2*b^2)*sinh(x)^2)","B",0
141,1,641,0,0.485709," ","integrate(coth(x)^3/(a+b*tanh(x)),x, algorithm=""fricas"")","-\frac{{\left(a^{4} + a^{3} b\right)} x \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + a^{3} b\right)} x \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + a^{3} b\right)} x \sinh\left(x\right)^{4} + 2 \, a^{3} b - 2 \, a b^{3} + 2 \, {\left(a^{4} - a^{3} b - a^{2} b^{2} + a b^{3} - {\left(a^{4} + a^{3} b\right)} x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} - a^{3} b - a^{2} b^{2} + a b^{3} + 3 \, {\left(a^{4} + a^{3} b\right)} x \cosh\left(x\right)^{2} - {\left(a^{4} + a^{3} b\right)} x\right)} \sinh\left(x\right)^{2} + {\left(a^{4} + a^{3} b\right)} x - {\left(b^{4} \cosh\left(x\right)^{4} + 4 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{4} \sinh\left(x\right)^{4} - 2 \, b^{4} \cosh\left(x\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(x\right)^{2} - b^{4}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{4} \cosh\left(x\right)^{3} - b^{4} \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) - {\left({\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} - b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} - b^{4} - 2 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - b^{4} - 3 \, {\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} - b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} - b^{4}\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) + 4 \, {\left({\left(a^{4} + a^{3} b\right)} x \cosh\left(x\right)^{3} + {\left(a^{4} - a^{3} b - a^{2} b^{2} + a b^{3} - {\left(a^{4} + a^{3} b\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} - a^{3} b^{2} + {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} - a^{3} b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{5} - a^{3} b^{2} - 3 \, {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{5} - a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-((a^4 + a^3*b)*x*cosh(x)^4 + 4*(a^4 + a^3*b)*x*cosh(x)*sinh(x)^3 + (a^4 + a^3*b)*x*sinh(x)^4 + 2*a^3*b - 2*a*b^3 + 2*(a^4 - a^3*b - a^2*b^2 + a*b^3 - (a^4 + a^3*b)*x)*cosh(x)^2 + 2*(a^4 - a^3*b - a^2*b^2 + a*b^3 + 3*(a^4 + a^3*b)*x*cosh(x)^2 - (a^4 + a^3*b)*x)*sinh(x)^2 + (a^4 + a^3*b)*x - (b^4*cosh(x)^4 + 4*b^4*cosh(x)*sinh(x)^3 + b^4*sinh(x)^4 - 2*b^4*cosh(x)^2 + b^4 + 2*(3*b^4*cosh(x)^2 - b^4)*sinh(x)^2 + 4*(b^4*cosh(x)^3 - b^4*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - ((a^4 - b^4)*cosh(x)^4 + 4*(a^4 - b^4)*cosh(x)*sinh(x)^3 + (a^4 - b^4)*sinh(x)^4 + a^4 - b^4 - 2*(a^4 - b^4)*cosh(x)^2 - 2*(a^4 - b^4 - 3*(a^4 - b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 - b^4)*cosh(x)^3 - (a^4 - b^4)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 4*((a^4 + a^3*b)*x*cosh(x)^3 + (a^4 - a^3*b - a^2*b^2 + a*b^3 - (a^4 + a^3*b)*x)*cosh(x))*sinh(x))/(a^5 - a^3*b^2 + (a^5 - a^3*b^2)*cosh(x)^4 + 4*(a^5 - a^3*b^2)*cosh(x)*sinh(x)^3 + (a^5 - a^3*b^2)*sinh(x)^4 - 2*(a^5 - a^3*b^2)*cosh(x)^2 - 2*(a^5 - a^3*b^2 - 3*(a^5 - a^3*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 - a^3*b^2)*cosh(x)^3 - (a^5 - a^3*b^2)*cosh(x))*sinh(x))","B",0
142,1,1299,0,0.669130," ","integrate(coth(x)^4/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{3 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right)^{6} + 18 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right) \sinh\left(x\right)^{5} + 3 \, {\left(a^{5} + a^{4} b\right)} x \sinh\left(x\right)^{6} - 8 \, a^{5} + 2 \, a^{3} b^{2} + 6 \, a b^{4} - 3 \, {\left(4 \, a^{5} - 2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 2 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)^{4} - 3 \, {\left(4 \, a^{5} - 2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 2 \, a b^{4} - 15 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \sinh\left(x\right)^{4} + 12 \, {\left(5 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right)^{3} - {\left(4 \, a^{5} - 2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 2 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - 4 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(15 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right)^{4} + 4 \, a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - 4 \, a b^{4} - 6 \, {\left(4 \, a^{5} - 2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 2 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \sinh\left(x\right)^{2} - 3 \, {\left(a^{5} + a^{4} b\right)} x - 3 \, {\left(b^{5} \cosh\left(x\right)^{6} + 6 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{5} \sinh\left(x\right)^{6} - 3 \, b^{5} \cosh\left(x\right)^{4} + 3 \, b^{5} \cosh\left(x\right)^{2} - b^{5} + 3 \, {\left(5 \, b^{5} \cosh\left(x\right)^{2} - b^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, b^{5} \cosh\left(x\right)^{3} - 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{5} \cosh\left(x\right)^{4} - 6 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{5} \cosh\left(x\right)^{5} - 2 \, b^{5} \cosh\left(x\right)^{3} + b^{5} \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) - 3 \, {\left({\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} b - b^{5}\right)} \sinh\left(x\right)^{6} - a^{4} b + b^{5} - 3 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{4} b - b^{5} - 5 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{4} b - 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)^{3} + 3 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{4} b - b^{5} + 5 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{4} b - b^{5}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} b - b^{5}\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) + 6 \, {\left(3 \, {\left(a^{5} + a^{4} b\right)} x \cosh\left(x\right)^{5} - 2 \, {\left(4 \, a^{5} - 2 \, a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} - 2 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)^{3} + {\left(4 \, a^{5} - 2 \, a^{4} b + 2 \, a^{2} b^{3} - 4 \, a b^{4} + 3 \, {\left(a^{5} + a^{4} b\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} - a^{4} b^{2}\right)} \sinh\left(x\right)^{6} - a^{6} + a^{4} b^{2} - 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{6} - a^{4} b^{2} - 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} - a^{4} b^{2} + 5 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} - a^{4} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*(3*(a^5 + a^4*b)*x*cosh(x)^6 + 18*(a^5 + a^4*b)*x*cosh(x)*sinh(x)^5 + 3*(a^5 + a^4*b)*x*sinh(x)^6 - 8*a^5 + 2*a^3*b^2 + 6*a*b^4 - 3*(4*a^5 - 2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 - 2*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x)^4 - 3*(4*a^5 - 2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 - 2*a*b^4 - 15*(a^5 + a^4*b)*x*cosh(x)^2 + 3*(a^5 + a^4*b)*x)*sinh(x)^4 + 12*(5*(a^5 + a^4*b)*x*cosh(x)^3 - (4*a^5 - 2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 - 2*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x))*sinh(x)^3 + 3*(4*a^5 - 2*a^4*b + 2*a^2*b^3 - 4*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x)^2 + 3*(15*(a^5 + a^4*b)*x*cosh(x)^4 + 4*a^5 - 2*a^4*b + 2*a^2*b^3 - 4*a*b^4 - 6*(4*a^5 - 2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 - 2*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x)^2 + 3*(a^5 + a^4*b)*x)*sinh(x)^2 - 3*(a^5 + a^4*b)*x - 3*(b^5*cosh(x)^6 + 6*b^5*cosh(x)*sinh(x)^5 + b^5*sinh(x)^6 - 3*b^5*cosh(x)^4 + 3*b^5*cosh(x)^2 - b^5 + 3*(5*b^5*cosh(x)^2 - b^5)*sinh(x)^4 + 4*(5*b^5*cosh(x)^3 - 3*b^5*cosh(x))*sinh(x)^3 + 3*(5*b^5*cosh(x)^4 - 6*b^5*cosh(x)^2 + b^5)*sinh(x)^2 + 6*(b^5*cosh(x)^5 - 2*b^5*cosh(x)^3 + b^5*cosh(x))*sinh(x))*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))) - 3*((a^4*b - b^5)*cosh(x)^6 + 6*(a^4*b - b^5)*cosh(x)*sinh(x)^5 + (a^4*b - b^5)*sinh(x)^6 - a^4*b + b^5 - 3*(a^4*b - b^5)*cosh(x)^4 - 3*(a^4*b - b^5 - 5*(a^4*b - b^5)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^4*b - b^5)*cosh(x)^3 - 3*(a^4*b - b^5)*cosh(x))*sinh(x)^3 + 3*(a^4*b - b^5)*cosh(x)^2 + 3*(a^4*b - b^5 + 5*(a^4*b - b^5)*cosh(x)^4 - 6*(a^4*b - b^5)*cosh(x)^2)*sinh(x)^2 + 6*((a^4*b - b^5)*cosh(x)^5 - 2*(a^4*b - b^5)*cosh(x)^3 + (a^4*b - b^5)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 6*(3*(a^5 + a^4*b)*x*cosh(x)^5 - 2*(4*a^5 - 2*a^4*b - 2*a^3*b^2 + 2*a^2*b^3 - 2*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x)^3 + (4*a^5 - 2*a^4*b + 2*a^2*b^3 - 4*a*b^4 + 3*(a^5 + a^4*b)*x)*cosh(x))*sinh(x))/((a^6 - a^4*b^2)*cosh(x)^6 + 6*(a^6 - a^4*b^2)*cosh(x)*sinh(x)^5 + (a^6 - a^4*b^2)*sinh(x)^6 - a^6 + a^4*b^2 - 3*(a^6 - a^4*b^2)*cosh(x)^4 - 3*(a^6 - a^4*b^2 - 5*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 - a^4*b^2)*cosh(x)^3 - 3*(a^6 - a^4*b^2)*cosh(x))*sinh(x)^3 + 3*(a^6 - a^4*b^2)*cosh(x)^2 + 3*(a^6 - a^4*b^2 + 5*(a^6 - a^4*b^2)*cosh(x)^4 - 6*(a^6 - a^4*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 - a^4*b^2)*cosh(x)^5 - 2*(a^6 - a^4*b^2)*cosh(x)^3 + (a^6 - a^4*b^2)*cosh(x))*sinh(x))","B",0
143,1,182,0,0.959691," ","integrate(x*sech(x)^2/(a+b*tanh(x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(a + b\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(a + b\right)} x \cosh\left(x\right) \sinh\left(x\right) + 2 \, {\left(a + b\right)} x \sinh\left(x\right)^{2} - {\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)} \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^{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}}"," ",0,"(2*(a + b)*x*cosh(x)^2 + 4*(a + b)*x*cosh(x)*sinh(x) + 2*(a + b)*x*sinh(x)^2 - ((a + b)*cosh(x)^2 + 2*(a + b)*cosh(x)*sinh(x) + (a + b)*sinh(x)^2 + a - b)*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(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)","B",0
144,1,1516,0,0.571366," ","integrate(x*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x, algorithm=""fricas"")","-\frac{{\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c \log\left(2 \, \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) + {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c \log\left(-2 \, \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c \log\left(2 \, \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c \log\left(-2 \, \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + a + b}{a + b} + 1\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} - a - b}{a + b} + 1\right) + {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm Li}_2\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + a + b}{a + b} + 1\right) + {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm Li}_2\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} - a - b}{a + b} + 1\right) - {\left({\left(a + b\right)} d x + {\left(a + b\right)} c\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + a + b}{a + b}\right) - {\left({\left(a + b\right)} d x + {\left(a + b\right)} c\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} - a - b}{a + b}\right) + {\left({\left(a + b\right)} d x + {\left(a + b\right)} c\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + a + b}{a + b}\right) + {\left({\left(a + b\right)} d x + {\left(a + b\right)} c\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} - a - b}{a + b}\right)}{2 \, a b d^{2}}"," ",0,"-1/2*((a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c*log(2*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) + (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c*log(-2*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c*log(2*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c*log(-2*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*dilog(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + a + b)/(a + b) + 1) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*dilog((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) - a - b)/(a + b) + 1) + (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*dilog(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + a + b)/(a + b) + 1) + (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*dilog((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) - a - b)/(a + b) + 1) - ((a + b)*d*x + (a + b)*c)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + a + b)/(a + b)) - ((a + b)*d*x + (a + b)*c)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) - a - b)/(a + b)) + ((a + b)*d*x + (a + b)*c)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + a + b)/(a + b)) + ((a + b)*d*x + (a + b)*c)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) - a - b)/(a + b)))/(a*b*d^2)","B",0
145,1,2110,0,0.616803," ","integrate(x^2*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x, algorithm=""fricas"")","\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} d x {\rm Li}_2\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + a + b}{a + b} + 1\right) + 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} d x {\rm Li}_2\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} - a - b}{a + b} + 1\right) - 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} d x {\rm Li}_2\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + a + b}{a + b} + 1\right) - 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} d x {\rm Li}_2\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} - a - b}{a + b} + 1\right) + {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c^{2} \log\left(2 \, \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) + {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c^{2} \log\left(-2 \, \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c^{2} \log\left(2 \, \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) - {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} c^{2} \log\left(-2 \, \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + 2 \, \cosh\left(d x + c\right) + 2 \, \sinh\left(d x + c\right)\right) + {\left({\left(a + b\right)} d^{2} x^{2} - {\left(a + b\right)} c^{2}\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} + a + b}{a + b}\right) + {\left({\left(a + b\right)} d^{2} x^{2} - {\left(a + b\right)} c^{2}\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}} - a - b}{a + b}\right) - {\left({\left(a + b\right)} d^{2} x^{2} - {\left(a + b\right)} c^{2}\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} + a + b}{a + b}\right) - {\left({\left(a + b\right)} d^{2} x^{2} - {\left(a + b\right)} c^{2}\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} \log\left(-\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}} - a - b}{a + b}\right) - 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}}}{a + b}\right) - 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) - 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{-\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} + a - b}{a + b}}}{a + b}\right) + 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm polylog}\left(3, \frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}}}{a + b}\right) + 2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} {\rm polylog}\left(3, -\frac{{\left({\left(a - b\right)} \cosh\left(d x + c\right) + {\left(a - b\right)} \sinh\left(d x + c\right) + 2 \, {\left({\left(a + b\right)} \cosh\left(d x + c\right) + {\left(a + b\right)} \sinh\left(d x + c\right)\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}}\right)} \sqrt{\frac{2 \, {\left(a + b\right)} \sqrt{-\frac{a b}{a^{2} + 2 \, a b + b^{2}}} - a + b}{a + b}}}{a + b}\right)}{2 \, a b d^{3}}"," ",0,"1/2*(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*d*x*dilog(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + a + b)/(a + b) + 1) + 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*d*x*dilog((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) - a - b)/(a + b) + 1) - 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*d*x*dilog(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + a + b)/(a + b) + 1) - 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*d*x*dilog((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) - a - b)/(a + b) + 1) + (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c^2*log(2*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) + (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c^2*log(-2*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c^2*log(2*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) - (a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*c^2*log(-2*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + 2*cosh(d*x + c) + 2*sinh(d*x + c)) + ((a + b)*d^2*x^2 - (a + b)*c^2)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) + a + b)/(a + b)) + ((a + b)*d^2*x^2 - (a + b)*c^2)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b)) - a - b)/(a + b)) - ((a + b)*d^2*x^2 - (a + b)*c^2)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log((((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) + a + b)/(a + b)) - ((a + b)*d^2*x^2 - (a + b)*c^2)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*log(-(((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b)) - a - b)/(a + b)) - 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*polylog(3, ((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b))/(a + b)) - 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*polylog(3, -((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) - 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt(-(2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) + a - b)/(a + b))/(a + b)) + 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*polylog(3, ((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b))/(a + b)) + 2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2))*polylog(3, -((a - b)*cosh(d*x + c) + (a - b)*sinh(d*x + c) + 2*((a + b)*cosh(d*x + c) + (a + b)*sinh(d*x + c))*sqrt(-a*b/(a^2 + 2*a*b + b^2)))*sqrt((2*(a + b)*sqrt(-a*b/(a^2 + 2*a*b + b^2)) - a + b)/(a + b))/(a + b)))/(a*b*d^3)","C",0
146,1,28,0,0.782647," ","integrate(x^3*tanh(a+2*log(x)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{4} e^{\left(2 \, a\right)} - 2 \, \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right)\right)} e^{\left(-2 \, a\right)}"," ",0,"1/4*(x^4*e^(2*a) - 2*log(x^4*e^(2*a) + 1))*e^(-2*a)","A",0
147,1,158,0,0.637496," ","integrate(x^2*tanh(a+2*log(x)),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \sqrt{2} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} - 1\right) e^{\left(-\frac{3}{2} \, a\right)} + \sqrt{2} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} + 1\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right)"," ",0,"1/3*x^3 + sqrt(2)*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) - 1)*e^(-3/2*a) + sqrt(2)*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) + 1)*e^(-3/2*a) + 1/4*sqrt(2)*e^(-3/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - 1/4*sqrt(2)*e^(-3/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))","A",0
148,1,22,0,0.505208," ","integrate(x*tanh(a+2*log(x)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} e^{a} - 2 \, \arctan\left(x^{2} e^{a}\right)\right)} e^{\left(-a\right)}"," ",0,"1/2*(x^2*e^a - 2*arctan(x^2*e^a))*e^(-a)","A",0
149,1,154,0,0.516021," ","integrate(tanh(a+2*log(x)),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} - 1\right) e^{\left(-\frac{1}{2} \, a\right)} + \sqrt{2} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} + 1\right) e^{\left(-\frac{1}{2} \, a\right)} - \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + x"," ",0,"sqrt(2)*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) - 1)*e^(-1/2*a) + sqrt(2)*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) + 1)*e^(-1/2*a) - 1/4*sqrt(2)*e^(-1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 1/4*sqrt(2)*e^(-1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + x","A",0
150,1,18,0,0.993068," ","integrate(tanh(a+2*log(x))/x,x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right) - \log\left(x\right)"," ",0,"1/2*log(x^4*e^(2*a) + 1) - log(x)","A",0
151,1,204,0,0.607275," ","integrate(tanh(a+2*log(x))/x^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{2} x \arctan\left(-{\left(\sqrt{2} x e^{\left(\frac{5}{2} \, a\right)} - \sqrt{2} \sqrt{x^{2} e^{\left(4 \, a\right)} + \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}} e^{\left(\frac{1}{2} \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(-2 \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} + 4 \, \sqrt{2} x \arctan\left(-{\left(\sqrt{2} x e^{\left(\frac{5}{2} \, a\right)} - \sqrt{2} \sqrt{x^{2} e^{\left(4 \, a\right)} - \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}} e^{\left(\frac{1}{2} \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(-2 \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} \log\left(x^{2} e^{\left(4 \, a\right)} + \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}\right) - \sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} \log\left(x^{2} e^{\left(4 \, a\right)} - \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}\right) - 4}{4 \, x}"," ",0,"-1/4*(4*sqrt(2)*x*arctan(-(sqrt(2)*x*e^(5/2*a) - sqrt(2)*sqrt(x^2*e^(4*a) + sqrt(2)*x*e^(7/2*a) + e^(3*a))*e^(1/2*a) + e^(2*a))*e^(-2*a))*e^(1/2*a) + 4*sqrt(2)*x*arctan(-(sqrt(2)*x*e^(5/2*a) - sqrt(2)*sqrt(x^2*e^(4*a) - sqrt(2)*x*e^(7/2*a) + e^(3*a))*e^(1/2*a) - e^(2*a))*e^(-2*a))*e^(1/2*a) + sqrt(2)*x*e^(1/2*a)*log(x^2*e^(4*a) + sqrt(2)*x*e^(7/2*a) + e^(3*a)) - sqrt(2)*x*e^(1/2*a)*log(x^2*e^(4*a) - sqrt(2)*x*e^(7/2*a) + e^(3*a)) - 4)/x","B",0
152,1,21,0,0.920061," ","integrate(tanh(a+2*log(x))/x^3,x, algorithm=""fricas"")","\frac{2 \, x^{2} \arctan\left(x^{2} e^{a}\right) e^{a} + 1}{2 \, x^{2}}"," ",0,"1/2*(2*x^2*arctan(x^2*e^a)*e^a + 1)/x^2","A",0
153,1,58,0,0.505068," ","integrate(x^3*tanh(a+2*log(x))^2,x, algorithm=""fricas"")","\frac{x^{8} e^{\left(4 \, a\right)} + x^{4} e^{\left(2 \, a\right)} - 4 \, {\left(x^{4} e^{\left(2 \, a\right)} + 1\right)} \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right) - 4}{4 \, {\left(x^{4} e^{\left(4 \, a\right)} + e^{\left(2 \, a\right)}\right)}}"," ",0,"1/4*(x^8*e^(4*a) + x^4*e^(2*a) - 4*(x^4*e^(2*a) + 1)*log(x^4*e^(2*a) + 1) - 4)/(x^4*e^(4*a) + e^(2*a))","A",0
154,1,231,0,0.967605," ","integrate(x^2*tanh(a+2*log(x))^2,x, algorithm=""fricas"")","\frac{8 \, x^{7} e^{\left(2 \, a\right)} + 32 \, x^{3} + 36 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} - 1\right) e^{\left(-\frac{3}{2} \, a\right)} + 36 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} + 1\right) e^{\left(-\frac{3}{2} \, a\right)} + 9 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} e^{\left(-\frac{3}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - 9 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} e^{\left(-\frac{3}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right)}{24 \, {\left(x^{4} e^{\left(2 \, a\right)} + 1\right)}}"," ",0,"1/24*(8*x^7*e^(2*a) + 32*x^3 + 36*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) - 1)*e^(-3/2*a) + 36*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) + 1)*e^(-3/2*a) + 9*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*e^(-3/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - 9*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*e^(-3/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)))/(x^4*e^(2*a) + 1)","A",0
155,1,50,0,0.413545," ","integrate(x*tanh(a+2*log(x))^2,x, algorithm=""fricas"")","\frac{x^{6} e^{\left(3 \, a\right)} + 3 \, x^{2} e^{a} - 2 \, {\left(x^{4} e^{\left(2 \, a\right)} + 1\right)} \arctan\left(x^{2} e^{a}\right)}{2 \, {\left(x^{4} e^{\left(3 \, a\right)} + e^{a}\right)}}"," ",0,"1/2*(x^6*e^(3*a) + 3*x^2*e^a - 2*(x^4*e^(2*a) + 1)*arctan(x^2*e^a))/(x^4*e^(3*a) + e^a)","A",0
156,1,228,0,0.642324," ","integrate(tanh(a+2*log(x))^2,x, algorithm=""fricas"")","\frac{8 \, x^{5} e^{\left(2 \, a\right)} + 4 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} - 1\right) e^{\left(-\frac{1}{2} \, a\right)} + 4 \, {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} \arctan\left(-\sqrt{2} x e^{\left(\frac{1}{2} \, a\right)} + \sqrt{2} \sqrt{-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}} e^{\left(\frac{1}{2} \, a\right)} + 1\right) e^{\left(-\frac{1}{2} \, a\right)} - {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} e^{\left(-\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + {\left(\sqrt{2} x^{4} e^{\left(2 \, a\right)} + \sqrt{2}\right)} e^{\left(-\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + 16 \, x}{8 \, {\left(x^{4} e^{\left(2 \, a\right)} + 1\right)}}"," ",0,"1/8*(8*x^5*e^(2*a) + 4*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) - 1)*e^(-1/2*a) + 4*(sqrt(2)*x^4*e^(2*a) + sqrt(2))*arctan(-sqrt(2)*x*e^(1/2*a) + sqrt(2)*sqrt(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))*e^(1/2*a) + 1)*e^(-1/2*a) - (sqrt(2)*x^4*e^(2*a) + sqrt(2))*e^(-1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + (sqrt(2)*x^4*e^(2*a) + sqrt(2))*e^(-1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 16*x)/(x^4*e^(2*a) + 1)","B",0
157,1,28,0,0.465368," ","integrate(tanh(a+2*log(x))^2/x,x, algorithm=""fricas"")","\frac{{\left(x^{4} e^{\left(2 \, a\right)} + 1\right)} \log\left(x\right) + 1}{x^{4} e^{\left(2 \, a\right)} + 1}"," ",0,"((x^4*e^(2*a) + 1)*log(x) + 1)/(x^4*e^(2*a) + 1)","B",0
158,1,274,0,0.693218," ","integrate(tanh(a+2*log(x))^2/x^2,x, algorithm=""fricas"")","-\frac{16 \, x^{4} e^{\left(2 \, a\right)} - 4 \, {\left(\sqrt{2} x^{5} e^{\left(2 \, a\right)} + \sqrt{2} x\right)} \arctan\left(-{\left(\sqrt{2} x e^{\left(\frac{5}{2} \, a\right)} - \sqrt{2} \sqrt{x^{2} e^{\left(4 \, a\right)} + \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}} e^{\left(\frac{1}{2} \, a\right)} + e^{\left(2 \, a\right)}\right)} e^{\left(-2 \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} - 4 \, {\left(\sqrt{2} x^{5} e^{\left(2 \, a\right)} + \sqrt{2} x\right)} \arctan\left(-{\left(\sqrt{2} x e^{\left(\frac{5}{2} \, a\right)} - \sqrt{2} \sqrt{x^{2} e^{\left(4 \, a\right)} - \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}} e^{\left(\frac{1}{2} \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(-2 \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} - {\left(\sqrt{2} x^{5} e^{\left(2 \, a\right)} + \sqrt{2} x\right)} e^{\left(\frac{1}{2} \, a\right)} \log\left(x^{2} e^{\left(4 \, a\right)} + \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}\right) + {\left(\sqrt{2} x^{5} e^{\left(2 \, a\right)} + \sqrt{2} x\right)} e^{\left(\frac{1}{2} \, a\right)} \log\left(x^{2} e^{\left(4 \, a\right)} - \sqrt{2} x e^{\left(\frac{7}{2} \, a\right)} + e^{\left(3 \, a\right)}\right) + 8}{8 \, {\left(x^{5} e^{\left(2 \, a\right)} + x\right)}}"," ",0,"-1/8*(16*x^4*e^(2*a) - 4*(sqrt(2)*x^5*e^(2*a) + sqrt(2)*x)*arctan(-(sqrt(2)*x*e^(5/2*a) - sqrt(2)*sqrt(x^2*e^(4*a) + sqrt(2)*x*e^(7/2*a) + e^(3*a))*e^(1/2*a) + e^(2*a))*e^(-2*a))*e^(1/2*a) - 4*(sqrt(2)*x^5*e^(2*a) + sqrt(2)*x)*arctan(-(sqrt(2)*x*e^(5/2*a) - sqrt(2)*sqrt(x^2*e^(4*a) - sqrt(2)*x*e^(7/2*a) + e^(3*a))*e^(1/2*a) - e^(2*a))*e^(-2*a))*e^(1/2*a) - (sqrt(2)*x^5*e^(2*a) + sqrt(2)*x)*e^(1/2*a)*log(x^2*e^(4*a) + sqrt(2)*x*e^(7/2*a) + e^(3*a)) + (sqrt(2)*x^5*e^(2*a) + sqrt(2)*x)*e^(1/2*a)*log(x^2*e^(4*a) - sqrt(2)*x*e^(7/2*a) + e^(3*a)) + 8)/(x^5*e^(2*a) + x)","B",0
159,1,51,0,0.621815," ","integrate(tanh(a+2*log(x))^2/x^3,x, algorithm=""fricas"")","-\frac{3 \, x^{4} e^{\left(2 \, a\right)} + 2 \, {\left(x^{6} e^{\left(3 \, a\right)} + x^{2} e^{a}\right)} \arctan\left(x^{2} e^{a}\right) + 1}{2 \, {\left(x^{6} e^{\left(2 \, a\right)} + x^{2}\right)}}"," ",0,"-1/2*(3*x^4*e^(2*a) + 2*(x^6*e^(3*a) + x^2*e^a)*arctan(x^2*e^a) + 1)/(x^6*e^(2*a) + x^2)","A",0
160,0,0,0,0.618346," ","integrate((e*x)^m*tanh(a+2*log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right), x\right)"," ",0,"integral((e*x)^m*tanh(a + 2*log(x)), x)","F",0
161,0,0,0,0.886184," ","integrate((e*x)^m*tanh(a+2*log(x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right)^{2}, x\right)"," ",0,"integral((e*x)^m*tanh(a + 2*log(x))^2, x)","F",0
162,0,0,0,0.497553," ","integrate((e*x)^m*tanh(a+2*log(x))^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right)^{3}, x\right)"," ",0,"integral((e*x)^m*tanh(a + 2*log(x))^3, x)","F",0
163,0,0,0,0.884167," ","integrate(tanh(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral(tanh(b*log(x) + a)^p, x)","F",0
164,0,0,0,0.490718," ","integrate((e*x)^m*tanh(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral((e*x)^m*tanh(b*log(x) + a)^p, x)","F",0
165,0,0,0,0.553994," ","integrate(tanh(a+1/2*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + \frac{1}{2} \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 1/2*log(x))^p, x)","F",0
166,0,0,0,0.596426," ","integrate(tanh(a+1/4*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + \frac{1}{4} \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 1/4*log(x))^p, x)","F",0
167,0,0,0,1.534566," ","integrate(tanh(a+1/6*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + \frac{1}{6} \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 1/6*log(x))^p, x)","F",0
168,0,0,0,2.806825," ","integrate(tanh(a+1/8*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + \frac{1}{8} \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 1/8*log(x))^p, x)","F",0
169,0,0,0,0.704545," ","integrate(tanh(a+log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + log(x))^p, x)","F",0
170,0,0,0,0.566087," ","integrate(tanh(a+2*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + 2 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 2*log(x))^p, x)","F",0
171,0,0,0,0.507133," ","integrate(tanh(a+3*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(a + 3 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tanh(a + 3*log(x))^p, x)","F",0
172,0,0,0,0.432363," ","integrate(x^3*tanh(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \tanh\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^3*tanh(b*d*log(c*x^n) + a*d), x)","F",0
173,0,0,0,0.624443," ","integrate(x^2*tanh(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \tanh\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^2*tanh(b*d*log(c*x^n) + a*d), x)","F",0
174,0,0,0,0.475123," ","integrate(x*tanh(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x \tanh\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x*tanh(b*d*log(c*x^n) + a*d), x)","F",0
175,0,0,0,0.980321," ","integrate(tanh(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d), x)","F",0
176,1,76,0,0.521976," ","integrate(tanh(d*(a+b*log(c*x^n)))/x,x, algorithm=""fricas"")","-\frac{b d n \log\left(x\right) - \log\left(\frac{2 \, \cosh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}{\cosh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) - \sinh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}\right)}{b d n}"," ",0,"-(b*d*n*log(x) - log(2*cosh(b*d*n*log(x) + b*d*log(c) + a*d)/(cosh(b*d*n*log(x) + b*d*log(c) + a*d) - sinh(b*d*n*log(x) + b*d*log(c) + a*d))))/(b*d*n)","B",0
177,0,0,0,0.510637," ","integrate(tanh(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tanh\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{2}}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)/x^2, x)","F",0
178,0,0,0,0.826994," ","integrate(tanh(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tanh\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{3}}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)/x^3, x)","F",0
179,0,0,0,0.639144," ","integrate(x^3*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^3*tanh(b*d*log(c*x^n) + a*d)^2, x)","F",0
180,0,0,0,0.785960," ","integrate(x^2*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^2*tanh(b*d*log(c*x^n) + a*d)^2, x)","F",0
181,0,0,0,0.494770," ","integrate(x*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x*tanh(b*d*log(c*x^n) + a*d)^2, x)","F",0
182,0,0,0,1.010416," ","integrate(tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)^2, x)","F",0
183,1,72,0,0.551547," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""fricas"")","\frac{{\left(b d n \log\left(x\right) + 1\right)} \cosh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) - \sinh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}{b d n \cosh\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}"," ",0,"((b*d*n*log(x) + 1)*cosh(b*d*n*log(x) + b*d*log(c) + a*d) - sinh(b*d*n*log(x) + b*d*log(c) + a*d))/(b*d*n*cosh(b*d*n*log(x) + b*d*log(c) + a*d))","B",0
184,0,0,0,0.579702," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)^2/x^2, x)","F",0
185,0,0,0,0.475713," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)^2/x^3, x)","F",0
186,1,566,0,0.643255," ","integrate(tanh(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","-\frac{b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} \log\left(x\right) + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \log\left(x\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \log\left(x\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n \log\left(x\right) + 2 \, {\left(3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \log\left(x\right) + b n \log\left(x\right) - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}\right) + 4 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \log\left(x\right) + {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n + 4 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"-(b*n*cosh(b*n*log(x) + b*log(c) + a)^4*log(x) + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)*log(x)*sinh(b*n*log(x) + b*log(c) + a)^3 + b*n*log(x)*sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n*log(x) + 2*(3*b*n*cosh(b*n*log(x) + b*log(c) + a)^2*log(x) + b*n*log(x) - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - (cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 + 1)*sinh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 + cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(2*cosh(b*n*log(x) + b*log(c) + a)/(cosh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a))) + 4*(b*n*cosh(b*n*log(x) + b*log(c) + a)^3*log(x) + (b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + b*n*sinh(b*n*log(x) + b*log(c) + a)^4 + 2*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(3*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n)*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n + 4*(b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))","B",0
187,1,194,0,0.770673," ","integrate(tanh(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{{\left(3 \, b n \log\left(x\right) + 4\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(3 \, b n \log\left(x\right) + 4\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 12 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 4 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(3 \, b n \log\left(x\right) + 4\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}"," ",0,"1/3*((3*b*n*log(x) + 4)*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*(3*b*n*log(x) + 4)*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 - 12*cosh(b*n*log(x) + b*log(c) + a)^2*sinh(b*n*log(x) + b*log(c) + a) - 4*sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(3*b*n*log(x) + 4)*cosh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a))","B",0
188,1,1568,0,0.629652," ","integrate(tanh(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","-\frac{b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} \log\left(x\right) + 8 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \log\left(x\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + b n \log\left(x\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 4 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \log\left(x\right) + b n \log\left(x\right) - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} \log\left(x\right) + 3 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(3 \, b n \log\left(x\right) - 2\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(35 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} \log\left(x\right) + 30 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, b n \log\left(x\right) - 2\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} \log\left(x\right) + 10 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(3 \, b n \log\left(x\right) - 2\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n \log\left(x\right) + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} \log\left(x\right) + 15 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 3 \, {\left(3 \, b n \log\left(x\right) - 2\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n \log\left(x\right) - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 30 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 10 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 15 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 9 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 8 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\frac{2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}\right) + 8 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} \log\left(x\right) + 3 \, {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + {\left(3 \, b n \log\left(x\right) - 2\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(b n \log\left(x\right) - 1\right)} \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 8 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 6 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(35 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 30 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 10 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 15 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 9 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n + 8 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"-(b*n*cosh(b*n*log(x) + b*log(c) + a)^8*log(x) + 8*b*n*cosh(b*n*log(x) + b*log(c) + a)*log(x)*sinh(b*n*log(x) + b*log(c) + a)^7 + b*n*log(x)*sinh(b*n*log(x) + b*log(c) + a)^8 + 4*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^6 + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^2*log(x) + b*n*log(x) - 1)*sinh(b*n*log(x) + b*log(c) + a)^6 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^3*log(x) + 3*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(3*b*n*log(x) - 2)*cosh(b*n*log(x) + b*log(c) + a)^4 + 2*(35*b*n*cosh(b*n*log(x) + b*log(c) + a)^4*log(x) + 30*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*b*n*log(x) - 2)*sinh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^5*log(x) + 10*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^3 + (3*b*n*log(x) - 2)*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n*log(x) + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^6*log(x) + 15*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^4 + 3*(3*b*n*log(x) - 2)*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n*log(x) - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - (cosh(b*n*log(x) + b*log(c) + a)^8 + 8*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^7 + sinh(b*n*log(x) + b*log(c) + a)^8 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^2 + 1)*sinh(b*n*log(x) + b*log(c) + a)^6 + 4*cosh(b*n*log(x) + b*log(c) + a)^6 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(35*cosh(b*n*log(x) + b*log(c) + a)^4 + 30*cosh(b*n*log(x) + b*log(c) + a)^2 + 3)*sinh(b*n*log(x) + b*log(c) + a)^4 + 6*cosh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^5 + 10*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^6 + 15*cosh(b*n*log(x) + b*log(c) + a)^4 + 9*cosh(b*n*log(x) + b*log(c) + a)^2 + 1)*sinh(b*n*log(x) + b*log(c) + a)^2 + 4*cosh(b*n*log(x) + b*log(c) + a)^2 + 8*(cosh(b*n*log(x) + b*log(c) + a)^7 + 3*cosh(b*n*log(x) + b*log(c) + a)^5 + 3*cosh(b*n*log(x) + b*log(c) + a)^3 + cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(2*cosh(b*n*log(x) + b*log(c) + a)/(cosh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a))) + 8*(b*n*cosh(b*n*log(x) + b*log(c) + a)^7*log(x) + 3*(b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a)^5 + (3*b*n*log(x) - 2)*cosh(b*n*log(x) + b*log(c) + a)^3 + (b*n*log(x) - 1)*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^8 + 8*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^7 + b*n*sinh(b*n*log(x) + b*log(c) + a)^8 + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)^6 + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n)*sinh(b*n*log(x) + b*log(c) + a)^6 + 6*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(35*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 30*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*b*n)*sinh(b*n*log(x) + b*log(c) + a)^4 + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^5 + 10*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^6 + 15*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 9*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + b*n)*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n + 8*(b*n*cosh(b*n*log(x) + b*log(c) + a)^7 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a)^5 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))","B",0
189,0,0,0,0.658895," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral((e*x)^m*tanh(b*d*log(c*x^n) + a*d), x)","F",0
190,0,0,0,0.558540," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral((e*x)^m*tanh(b*d*log(c*x^n) + a*d)^2, x)","F",0
191,0,0,0,0.464900," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{3}, x\right)"," ",0,"integral((e*x)^m*tanh(b*d*log(c*x^n) + a*d)^3, x)","F",0
192,0,0,0,0.418087," ","integrate(tanh(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral(tanh(b*d*log(c*x^n) + a*d)^p, x)","F",0
193,0,0,0,0.551292," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tanh\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*tanh(b*d*log(c*x^n) + a*d)^p, x)","F",0
194,1,625,0,0.588709," ","integrate(tanh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","-\frac{6 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 4 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}} + 4}{6 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n\right)}}"," ",0,"-1/6*(6*(cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + 4*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*(cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + 8*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + 4*sinh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 - 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a)) + 4)/(b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + b*n*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n)","B",0
195,1,334,0,0.938484," ","integrate(tanh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}} - 2 \, \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right)}{2 \, b n}"," ",0,"-1/2*(4*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a)) - 2*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))))/(b*n)","B",0
196,1,303,0,0.471350," ","integrate(tanh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right)}{2 \, b n}"," ",0,"-1/2*(2*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))))/(b*n)","B",0
197,1,305,0,0.675893," ","integrate(1/x/tanh(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) - \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right)}{2 \, b n}"," ",0,"1/2*(2*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) - log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))))/(b*n)","B",0
198,1,625,0,0.478148," ","integrate(1/x/tanh(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 4 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}} - 4}{2 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)}}"," ",0,"-1/2*(2*(cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 - 1)*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + 4*cosh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 - 1)*log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + 8*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + 4*sinh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a)) - 4)/(b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + b*n*sinh(b*n*log(x) + b*log(c) + a)^2 - b*n)","B",0
199,1,1110,0,0.922218," ","integrate(1/x/tanh(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","-\frac{4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 16 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 6 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \arctan\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) - 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(-\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}}\right) + 16 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \sqrt{\frac{\sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}} + 4}{6 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n + 4 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}"," ",0,"-1/6*(4*cosh(b*n*log(x) + b*log(c) + a)^4 + 16*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*sinh(b*n*log(x) + b*log(c) + a)^4 + 8*(3*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 6*(cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*arctan(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) - 8*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*(cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(-cosh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) - sinh(b*n*log(x) + b*log(c) + a)^2 + (cosh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a)^2 + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a))) + 16*(cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 4*(cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 + 1)*sinh(b*n*log(x) + b*log(c) + a)^2 + 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 + cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*sqrt(sinh(b*n*log(x) + b*log(c) + a)/cosh(b*n*log(x) + b*log(c) + a)) + 4)/(b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + b*n*sinh(b*n*log(x) + b*log(c) + a)^4 - 2*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(3*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 - b*n)*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n + 4*(b*n*cosh(b*n*log(x) + b*log(c) + a)^3 - b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))","B",0
200,1,8891,0,2.892649," ","integrate(tanh(x)^5/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2} + 4 \, {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) - 2 \, {\left(c^{2} \cosh\left(x\right)^{4} + 4 \, c^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + c^{2} \sinh\left(x\right)^{4} + 2 \, c^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c^{2} \cosh\left(x\right)^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + c^{2} + 4 \, {\left(c^{2} \cosh\left(x\right)^{3} + c^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 4 \, \sqrt{2} {\left({\left(a + b\right)} c + c^{2}\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \sinh\left(x\right)^{4} + {\left(a + b\right)} c^{2} + c^{3} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3} + 3 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{4 \, {\left(c^{2} \cosh\left(x\right)^{4} + 4 \, c^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + c^{2} \sinh\left(x\right)^{4} + 2 \, c^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c^{2} \cosh\left(x\right)^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + c^{2} + 4 \, {\left(c^{2} \cosh\left(x\right)^{3} + c^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) + {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2} + 4 \, {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 4 \, \sqrt{2} {\left({\left(a + b\right)} c + c^{2}\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \sinh\left(x\right)^{4} + {\left(a + b\right)} c^{2} + c^{3} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3} + 3 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{{\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2} + 4 \, {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) - {\left(c^{2} \cosh\left(x\right)^{4} + 4 \, c^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + c^{2} \sinh\left(x\right)^{4} + 2 \, c^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c^{2} \cosh\left(x\right)^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + c^{2} + 4 \, {\left(c^{2} \cosh\left(x\right)^{3} + c^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 2 \, \sqrt{2} {\left({\left(a + b\right)} c + c^{2}\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \sinh\left(x\right)^{4} + {\left(a + b\right)} c^{2} + c^{3} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3} + 3 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{2 \, {\left(c^{2} \cosh\left(x\right)^{4} + 4 \, c^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + c^{2} \sinh\left(x\right)^{4} + 2 \, c^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c^{2} \cosh\left(x\right)^{2} + c^{2}\right)} \sinh\left(x\right)^{2} + c^{2} + 4 \, {\left(c^{2} \cosh\left(x\right)^{3} + c^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) + {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \sinh\left(x\right)^{2} + a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2} + 4 \, {\left({\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a b + b^{2} - {\left(2 \, a + b\right)} c - 2 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + 2 \, \sqrt{2} {\left({\left(a + b\right)} c + c^{2}\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \sinh\left(x\right)^{4} + {\left(a + b\right)} c^{2} + c^{3} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left({\left(a + b\right)} c^{2} + c^{3} + 3 \, {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)^{3} + {\left({\left(a + b\right)} c^{2} + c^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/8*(((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^4 + 4*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)*sinh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^4 + 2*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + 2*(3*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2 + 4*((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x))*sinh(x))*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)) - 2*(c^2*cosh(x)^4 + 4*c^2*cosh(x)*sinh(x)^3 + c^2*sinh(x)^4 + 2*c^2*cosh(x)^2 + 2*(3*c^2*cosh(x)^2 + c^2)*sinh(x)^2 + c^2 + 4*(c^2*cosh(x)^3 + c^2*cosh(x))*sinh(x))*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) + 4*sqrt(2)*((a + b)*c + c^2)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(((a + b)*c^2 + c^3)*cosh(x)^4 + 4*((a + b)*c^2 + c^3)*cosh(x)*sinh(x)^3 + ((a + b)*c^2 + c^3)*sinh(x)^4 + (a + b)*c^2 + c^3 + 2*((a + b)*c^2 + c^3)*cosh(x)^2 + 2*((a + b)*c^2 + c^3 + 3*((a + b)*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 4*(((a + b)*c^2 + c^3)*cosh(x)^3 + ((a + b)*c^2 + c^3)*cosh(x))*sinh(x)), -1/8*(4*(c^2*cosh(x)^4 + 4*c^2*cosh(x)*sinh(x)^3 + c^2*sinh(x)^4 + 2*c^2*cosh(x)^2 + 2*(3*c^2*cosh(x)^2 + c^2)*sinh(x)^2 + c^2 + 4*(c^2*cosh(x)^3 + c^2*cosh(x))*sinh(x))*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) + ((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^4 + 4*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)*sinh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^4 + 2*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + 2*(3*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2 + 4*((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x))*sinh(x))*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)) + 4*sqrt(2)*((a + b)*c + c^2)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(((a + b)*c^2 + c^3)*cosh(x)^4 + 4*((a + b)*c^2 + c^3)*cosh(x)*sinh(x)^3 + ((a + b)*c^2 + c^3)*sinh(x)^4 + (a + b)*c^2 + c^3 + 2*((a + b)*c^2 + c^3)*cosh(x)^2 + 2*((a + b)*c^2 + c^3 + 3*((a + b)*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 4*(((a + b)*c^2 + c^3)*cosh(x)^3 + ((a + b)*c^2 + c^3)*cosh(x))*sinh(x)), -1/4*(((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^4 + 4*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)*sinh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^4 + 2*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + 2*(3*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2 + 4*((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x))*sinh(x))*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))) - (c^2*cosh(x)^4 + 4*c^2*cosh(x)*sinh(x)^3 + c^2*sinh(x)^4 + 2*c^2*cosh(x)^2 + 2*(3*c^2*cosh(x)^2 + c^2)*sinh(x)^2 + c^2 + 4*(c^2*cosh(x)^3 + c^2*cosh(x))*sinh(x))*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) + 2*sqrt(2)*((a + b)*c + c^2)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(((a + b)*c^2 + c^3)*cosh(x)^4 + 4*((a + b)*c^2 + c^3)*cosh(x)*sinh(x)^3 + ((a + b)*c^2 + c^3)*sinh(x)^4 + (a + b)*c^2 + c^3 + 2*((a + b)*c^2 + c^3)*cosh(x)^2 + 2*((a + b)*c^2 + c^3 + 3*((a + b)*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 4*(((a + b)*c^2 + c^3)*cosh(x)^3 + ((a + b)*c^2 + c^3)*cosh(x))*sinh(x)), -1/4*(2*(c^2*cosh(x)^4 + 4*c^2*cosh(x)*sinh(x)^3 + c^2*sinh(x)^4 + 2*c^2*cosh(x)^2 + 2*(3*c^2*cosh(x)^2 + c^2)*sinh(x)^2 + c^2 + 4*(c^2*cosh(x)^3 + c^2*cosh(x))*sinh(x))*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) + ((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^4 + 4*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)*sinh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^4 + 2*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + 2*(3*(a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2)*sinh(x)^2 + a*b + b^2 - (2*a + b)*c - 2*c^2 + 4*((a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x)^3 + (a*b + b^2 - (2*a + b)*c - 2*c^2)*cosh(x))*sinh(x))*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))) + 2*sqrt(2)*((a + b)*c + c^2)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(((a + b)*c^2 + c^3)*cosh(x)^4 + 4*((a + b)*c^2 + c^3)*cosh(x)*sinh(x)^3 + ((a + b)*c^2 + c^3)*sinh(x)^4 + (a + b)*c^2 + c^3 + 2*((a + b)*c^2 + c^3)*cosh(x)^2 + 2*((a + b)*c^2 + c^3 + 3*((a + b)*c^2 + c^3)*cosh(x)^2)*sinh(x)^2 + 4*(((a + b)*c^2 + c^3)*cosh(x)^3 + ((a + b)*c^2 + c^3)*cosh(x))*sinh(x))]","B",0
201,1,6663,0,2.804741," ","integrate(tanh(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(a + b + c\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + \sqrt{a + b + c} c \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left({\left(a + b\right)} c + c^{2}\right)}}, -\frac{2 \, \sqrt{-a - b - c} c \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - {\left(a + b + c\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left({\left(a + b\right)} c + c^{2}\right)}}, \frac{2 \, {\left(a + b + c\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + \sqrt{a + b + c} c \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left({\left(a + b\right)} c + c^{2}\right)}}, -\frac{\sqrt{-a - b - c} c \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - {\left(a + b + c\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right)}{2 \, {\left({\left(a + b\right)} c + c^{2}\right)}}\right]"," ",0,"[1/4*((a + b + c)*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)) + sqrt(a + b + c)*c*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)))/((a + b)*c + c^2), -1/4*(2*sqrt(-a - b - c)*c*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - (a + b + c)*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)))/((a + b)*c + c^2), 1/4*(2*(a + b + c)*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))) + sqrt(a + b + c)*c*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)))/((a + b)*c + c^2), -1/2*(sqrt(-a - b - c)*c*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - (a + b + c)*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))))/((a + b)*c + c^2)]","B",0
202,1,1748,0,1.886800," ","integrate(tanh(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, \sqrt{a + b + c}}, -\frac{\sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{2 \, {\left(a + b + c\right)}}\right]"," ",0,"[1/4*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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))/sqrt(a + b + c), -1/2*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)))/(a + b + c)]","B",0
203,1,6705,0,2.208006," ","integrate(coth(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(a + b + c\right)} \sqrt{a} \log\left(\frac{{\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + 8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c + 8 \, {\left({\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{5} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + \sqrt{a + b + c} a \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left(a^{2} + a b + a c\right)}}, -\frac{2 \, a \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - {\left(a + b + c\right)} \sqrt{a} \log\left(\frac{{\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + 8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c + 8 \, {\left({\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{5} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left(a^{2} + a b + a c\right)}}, \frac{2 \, \sqrt{-a} {\left(a + b + c\right)} \arctan\left(\frac{\sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{-a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + a b + a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} - a b + 3 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{2} + a^{2} + a b + a c + 8 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + \sqrt{a + b + c} a \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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)}{4 \, {\left(a^{2} + a b + a c\right)}}, \frac{\sqrt{-a} {\left(a + b + c\right)} \arctan\left(\frac{\sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{-a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + a b + a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} - a b + 3 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{2} + a^{2} + a b + a c + 8 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) - a \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{2 \, {\left(a^{2} + a b + a c\right)}}\right]"," ",0,"[1/4*((a + b + c)*sqrt(a)*log(((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^8 + 8*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)*sinh(x)^7 + (8*a^2 + 8*a*b + b^2 + 4*a*c)*sinh(x)^8 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^6 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^6 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^3 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x))*sinh(x)^5 + 2*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^4 + 2*(35*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^4 + 30*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*sinh(x)^4 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^5 + 10*(8*a^2 - b^2 - 4*a*c)*cosh(x)^3 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x))*sinh(x)^3 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^6 + 15*(8*a^2 - b^2 - 4*a*c)*cosh(x)^4 + 3*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^2 - 4*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + 8*a^2 + 8*a*b + b^2 + 4*a*c + 8*((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^7 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x)^5 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^3 + (8*a^2 - b^2 - 4*a*c)*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)) + sqrt(a + b + c)*a*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)))/(a^2 + a*b + a*c), -1/4*(2*a*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - (a + b + c)*sqrt(a)*log(((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^8 + 8*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)*sinh(x)^7 + (8*a^2 + 8*a*b + b^2 + 4*a*c)*sinh(x)^8 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^6 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^6 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^3 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x))*sinh(x)^5 + 2*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^4 + 2*(35*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^4 + 30*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*sinh(x)^4 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^5 + 10*(8*a^2 - b^2 - 4*a*c)*cosh(x)^3 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x))*sinh(x)^3 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^6 + 15*(8*a^2 - b^2 - 4*a*c)*cosh(x)^4 + 3*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^2 - 4*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + 8*a^2 + 8*a*b + b^2 + 4*a*c + 8*((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^7 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x)^5 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^3 + (8*a^2 - b^2 - 4*a*c)*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)))/(a^2 + a*b + a*c), 1/4*(2*sqrt(-a)*(a + b + c)*arctan(1/2*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(-a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + a*b + a*c)*cosh(x)^8 + 8*(a^2 + a*b + a*c)*cosh(x)*sinh(x)^7 + (a^2 + a*b + a*c)*sinh(x)^8 + 4*(a^2 - a*c)*cosh(x)^6 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^6 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^3 + 3*(a^2 - a*c)*cosh(x))*sinh(x)^5 + 2*(3*a^2 - a*b + 3*a*c)*cosh(x)^4 + 2*(35*(a^2 + a*b + a*c)*cosh(x)^4 + 30*(a^2 - a*c)*cosh(x)^2 + 3*a^2 - a*b + 3*a*c)*sinh(x)^4 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^5 + 10*(a^2 - a*c)*cosh(x)^3 + (3*a^2 - a*b + 3*a*c)*cosh(x))*sinh(x)^3 + 4*(a^2 - a*c)*cosh(x)^2 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^6 + 15*(a^2 - a*c)*cosh(x)^4 + 3*(3*a^2 - a*b + 3*a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^2 + a^2 + a*b + a*c + 8*((a^2 + a*b + a*c)*cosh(x)^7 + 3*(a^2 - a*c)*cosh(x)^5 + (3*a^2 - a*b + 3*a*c)*cosh(x)^3 + (a^2 - a*c)*cosh(x))*sinh(x))) + sqrt(a + b + c)*a*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)))/(a^2 + a*b + a*c), 1/2*(sqrt(-a)*(a + b + c)*arctan(1/2*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(-a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + a*b + a*c)*cosh(x)^8 + 8*(a^2 + a*b + a*c)*cosh(x)*sinh(x)^7 + (a^2 + a*b + a*c)*sinh(x)^8 + 4*(a^2 - a*c)*cosh(x)^6 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^6 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^3 + 3*(a^2 - a*c)*cosh(x))*sinh(x)^5 + 2*(3*a^2 - a*b + 3*a*c)*cosh(x)^4 + 2*(35*(a^2 + a*b + a*c)*cosh(x)^4 + 30*(a^2 - a*c)*cosh(x)^2 + 3*a^2 - a*b + 3*a*c)*sinh(x)^4 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^5 + 10*(a^2 - a*c)*cosh(x)^3 + (3*a^2 - a*b + 3*a*c)*cosh(x))*sinh(x)^3 + 4*(a^2 - a*c)*cosh(x)^2 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^6 + 15*(a^2 - a*c)*cosh(x)^4 + 3*(3*a^2 - a*b + 3*a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^2 + a^2 + a*b + a*c + 8*((a^2 + a*b + a*c)*cosh(x)^7 + 3*(a^2 - a*c)*cosh(x)^5 + (3*a^2 - a*b + 3*a*c)*cosh(x)^3 + (a^2 - a*c)*cosh(x))*sinh(x))) - a*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))))/(a^2 + a*b + a*c)]","B",0
204,1,9168,0,2.833503," ","integrate(coth(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{4} - 2 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} - 2 \, a^{2} - a b + b^{2} - {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c + 4 \, {\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a} \log\left(\frac{{\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{2} + 4 \, \sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + 8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c + 8 \, {\left({\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{5} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) - 2 \, {\left(a^{2} \cosh\left(x\right)^{4} + 4 \, a^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} \sinh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 4 \, \sqrt{2} {\left(a^{2} + a b + a c\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} + a^{2} b + a^{2} c\right)} \sinh\left(x\right)^{4} + a^{3} + a^{2} b + a^{2} c - 2 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a^{2} b + a^{2} c - 3 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{3} - {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, -\frac{4 \, {\left(a^{2} \cosh\left(x\right)^{4} + 4 \, a^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} \sinh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) + {\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{4} - 2 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} - 2 \, a^{2} - a b + b^{2} - {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c + 4 \, {\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a} \log\left(\frac{{\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{3} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{2} + 8 \, a^{2} - b^{2} - 4 \, a c\right)} \sinh\left(x\right)^{2} + 4 \, \sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + 8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c + 8 \, {\left({\left(8 \, a^{2} + 8 \, a b + b^{2} + 4 \, a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)^{5} + {\left(24 \, a^{2} - 8 \, a b + 3 \, b^{2} + 12 \, a c\right)} \cosh\left(x\right)^{3} + {\left(8 \, a^{2} - b^{2} - 4 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 4 \, \sqrt{2} {\left(a^{2} + a b + a c\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} + a^{2} b + a^{2} c\right)} \sinh\left(x\right)^{4} + a^{3} + a^{2} b + a^{2} c - 2 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a^{2} b + a^{2} c - 3 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{3} - {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{{\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{4} - 2 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} - 2 \, a^{2} - a b + b^{2} - {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c + 4 \, {\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{-a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + a b + a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} - a b + 3 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{2} + a^{2} + a b + a c + 8 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + {\left(a^{2} \cosh\left(x\right)^{4} + 4 \, a^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} \sinh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) - 2 \, \sqrt{2} {\left(a^{2} + a b + a c\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} + a^{2} b + a^{2} c\right)} \sinh\left(x\right)^{4} + a^{3} + a^{2} b + a^{2} c - 2 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a^{2} b + a^{2} c - 3 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{3} - {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}, \frac{{\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{4} - 2 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{2} - 2 \, a^{2} - a b + b^{2} - {\left(2 \, a - b\right)} c\right)} \sinh\left(x\right)^{2} + 2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c + 4 \, {\left({\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} + a b - b^{2} + {\left(2 \, a - b\right)} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{2} {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a + b\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a + b\right)} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a - b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(2 \, a + b\right)} \cosh\left(x\right)^{2} + 2 \, a - b\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a + b\right)} \cosh\left(x\right)^{3} + {\left(2 \, a - b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 2 \, a + b\right)} \sqrt{-a} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + a b + a c\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} - a b + 3 \, a c\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{2} + a^{2} - a c\right)} \sinh\left(x\right)^{2} + a^{2} + a b + a c + 8 \, {\left({\left(a^{2} + a b + a c\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} - a c\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} - a b + 3 \, a c\right)} \cosh\left(x\right)^{3} + {\left(a^{2} - a c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) - 2 \, {\left(a^{2} \cosh\left(x\right)^{4} + 4 \, a^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} \sinh\left(x\right)^{4} - 2 \, a^{2} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - 2 \, \sqrt{2} {\left(a^{2} + a b + a c\right)} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} + a^{2} b + a^{2} c\right)} \sinh\left(x\right)^{4} + a^{3} + a^{2} b + a^{2} c - 2 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a^{2} b + a^{2} c - 3 \, {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)^{3} - {\left(a^{3} + a^{2} b + a^{2} c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right]"," ",0,"[-1/8*(((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^4 + 4*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)*sinh(x)^3 + (2*a^2 + a*b - b^2 + (2*a - b)*c)*sinh(x)^4 - 2*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 + 2*(3*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 - 2*a^2 - a*b + b^2 - (2*a - b)*c)*sinh(x)^2 + 2*a^2 + a*b - b^2 + (2*a - b)*c + 4*((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^3 - (2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x))*sinh(x))*sqrt(a)*log(((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^8 + 8*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)*sinh(x)^7 + (8*a^2 + 8*a*b + b^2 + 4*a*c)*sinh(x)^8 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^6 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^6 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^3 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x))*sinh(x)^5 + 2*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^4 + 2*(35*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^4 + 30*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*sinh(x)^4 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^5 + 10*(8*a^2 - b^2 - 4*a*c)*cosh(x)^3 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x))*sinh(x)^3 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^6 + 15*(8*a^2 - b^2 - 4*a*c)*cosh(x)^4 + 3*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^2 + 4*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + 8*a^2 + 8*a*b + b^2 + 4*a*c + 8*((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^7 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x)^5 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^3 + (8*a^2 - b^2 - 4*a*c)*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)) - 2*(a^2*cosh(x)^4 + 4*a^2*cosh(x)*sinh(x)^3 + a^2*sinh(x)^4 - 2*a^2*cosh(x)^2 + 2*(3*a^2*cosh(x)^2 - a^2)*sinh(x)^2 + a^2 + 4*(a^2*cosh(x)^3 - a^2*cosh(x))*sinh(x))*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) + 4*sqrt(2)*(a^2 + a*b + a*c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/((a^3 + a^2*b + a^2*c)*cosh(x)^4 + 4*(a^3 + a^2*b + a^2*c)*cosh(x)*sinh(x)^3 + (a^3 + a^2*b + a^2*c)*sinh(x)^4 + a^3 + a^2*b + a^2*c - 2*(a^3 + a^2*b + a^2*c)*cosh(x)^2 - 2*(a^3 + a^2*b + a^2*c - 3*(a^3 + a^2*b + a^2*c)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 + a^2*b + a^2*c)*cosh(x)^3 - (a^3 + a^2*b + a^2*c)*cosh(x))*sinh(x)), -1/8*(4*(a^2*cosh(x)^4 + 4*a^2*cosh(x)*sinh(x)^3 + a^2*sinh(x)^4 - 2*a^2*cosh(x)^2 + 2*(3*a^2*cosh(x)^2 - a^2)*sinh(x)^2 + a^2 + 4*(a^2*cosh(x)^3 - a^2*cosh(x))*sinh(x))*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) + ((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^4 + 4*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)*sinh(x)^3 + (2*a^2 + a*b - b^2 + (2*a - b)*c)*sinh(x)^4 - 2*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 + 2*(3*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 - 2*a^2 - a*b + b^2 - (2*a - b)*c)*sinh(x)^2 + 2*a^2 + a*b - b^2 + (2*a - b)*c + 4*((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^3 - (2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x))*sinh(x))*sqrt(a)*log(((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^8 + 8*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)*sinh(x)^7 + (8*a^2 + 8*a*b + b^2 + 4*a*c)*sinh(x)^8 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^6 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^6 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^3 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x))*sinh(x)^5 + 2*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^4 + 2*(35*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^4 + 30*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*sinh(x)^4 + 8*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^5 + 10*(8*a^2 - b^2 - 4*a*c)*cosh(x)^3 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x))*sinh(x)^3 + 4*(8*a^2 - b^2 - 4*a*c)*cosh(x)^2 + 4*(7*(8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^6 + 15*(8*a^2 - b^2 - 4*a*c)*cosh(x)^4 + 3*(24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^2 + 8*a^2 - b^2 - 4*a*c)*sinh(x)^2 + 4*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + 8*a^2 + 8*a*b + b^2 + 4*a*c + 8*((8*a^2 + 8*a*b + b^2 + 4*a*c)*cosh(x)^7 + 3*(8*a^2 - b^2 - 4*a*c)*cosh(x)^5 + (24*a^2 - 8*a*b + 3*b^2 + 12*a*c)*cosh(x)^3 + (8*a^2 - b^2 - 4*a*c)*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)) + 4*sqrt(2)*(a^2 + a*b + a*c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/((a^3 + a^2*b + a^2*c)*cosh(x)^4 + 4*(a^3 + a^2*b + a^2*c)*cosh(x)*sinh(x)^3 + (a^3 + a^2*b + a^2*c)*sinh(x)^4 + a^3 + a^2*b + a^2*c - 2*(a^3 + a^2*b + a^2*c)*cosh(x)^2 - 2*(a^3 + a^2*b + a^2*c - 3*(a^3 + a^2*b + a^2*c)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 + a^2*b + a^2*c)*cosh(x)^3 - (a^3 + a^2*b + a^2*c)*cosh(x))*sinh(x)), 1/4*(((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^4 + 4*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)*sinh(x)^3 + (2*a^2 + a*b - b^2 + (2*a - b)*c)*sinh(x)^4 - 2*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 + 2*(3*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 - 2*a^2 - a*b + b^2 - (2*a - b)*c)*sinh(x)^2 + 2*a^2 + a*b - b^2 + (2*a - b)*c + 4*((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^3 - (2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x))*sinh(x))*sqrt(-a)*arctan(1/2*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(-a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + a*b + a*c)*cosh(x)^8 + 8*(a^2 + a*b + a*c)*cosh(x)*sinh(x)^7 + (a^2 + a*b + a*c)*sinh(x)^8 + 4*(a^2 - a*c)*cosh(x)^6 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^6 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^3 + 3*(a^2 - a*c)*cosh(x))*sinh(x)^5 + 2*(3*a^2 - a*b + 3*a*c)*cosh(x)^4 + 2*(35*(a^2 + a*b + a*c)*cosh(x)^4 + 30*(a^2 - a*c)*cosh(x)^2 + 3*a^2 - a*b + 3*a*c)*sinh(x)^4 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^5 + 10*(a^2 - a*c)*cosh(x)^3 + (3*a^2 - a*b + 3*a*c)*cosh(x))*sinh(x)^3 + 4*(a^2 - a*c)*cosh(x)^2 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^6 + 15*(a^2 - a*c)*cosh(x)^4 + 3*(3*a^2 - a*b + 3*a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^2 + a^2 + a*b + a*c + 8*((a^2 + a*b + a*c)*cosh(x)^7 + 3*(a^2 - a*c)*cosh(x)^5 + (3*a^2 - a*b + 3*a*c)*cosh(x)^3 + (a^2 - a*c)*cosh(x))*sinh(x))) + (a^2*cosh(x)^4 + 4*a^2*cosh(x)*sinh(x)^3 + a^2*sinh(x)^4 - 2*a^2*cosh(x)^2 + 2*(3*a^2*cosh(x)^2 - a^2)*sinh(x)^2 + a^2 + 4*(a^2*cosh(x)^3 - a^2*cosh(x))*sinh(x))*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) - 2*sqrt(2)*(a^2 + a*b + a*c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/((a^3 + a^2*b + a^2*c)*cosh(x)^4 + 4*(a^3 + a^2*b + a^2*c)*cosh(x)*sinh(x)^3 + (a^3 + a^2*b + a^2*c)*sinh(x)^4 + a^3 + a^2*b + a^2*c - 2*(a^3 + a^2*b + a^2*c)*cosh(x)^2 - 2*(a^3 + a^2*b + a^2*c - 3*(a^3 + a^2*b + a^2*c)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 + a^2*b + a^2*c)*cosh(x)^3 - (a^3 + a^2*b + a^2*c)*cosh(x))*sinh(x)), 1/4*(((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^4 + 4*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)*sinh(x)^3 + (2*a^2 + a*b - b^2 + (2*a - b)*c)*sinh(x)^4 - 2*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 + 2*(3*(2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^2 - 2*a^2 - a*b + b^2 - (2*a - b)*c)*sinh(x)^2 + 2*a^2 + a*b - b^2 + (2*a - b)*c + 4*((2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x)^3 - (2*a^2 + a*b - b^2 + (2*a - b)*c)*cosh(x))*sinh(x))*sqrt(-a)*arctan(1/2*sqrt(2)*((2*a + b)*cosh(x)^4 + 4*(2*a + b)*cosh(x)*sinh(x)^3 + (2*a + b)*sinh(x)^4 + 2*(2*a - b)*cosh(x)^2 + 2*(3*(2*a + b)*cosh(x)^2 + 2*a - b)*sinh(x)^2 + 4*((2*a + b)*cosh(x)^3 + (2*a - b)*cosh(x))*sinh(x) + 2*a + b)*sqrt(-a)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + a*b + a*c)*cosh(x)^8 + 8*(a^2 + a*b + a*c)*cosh(x)*sinh(x)^7 + (a^2 + a*b + a*c)*sinh(x)^8 + 4*(a^2 - a*c)*cosh(x)^6 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^6 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^3 + 3*(a^2 - a*c)*cosh(x))*sinh(x)^5 + 2*(3*a^2 - a*b + 3*a*c)*cosh(x)^4 + 2*(35*(a^2 + a*b + a*c)*cosh(x)^4 + 30*(a^2 - a*c)*cosh(x)^2 + 3*a^2 - a*b + 3*a*c)*sinh(x)^4 + 8*(7*(a^2 + a*b + a*c)*cosh(x)^5 + 10*(a^2 - a*c)*cosh(x)^3 + (3*a^2 - a*b + 3*a*c)*cosh(x))*sinh(x)^3 + 4*(a^2 - a*c)*cosh(x)^2 + 4*(7*(a^2 + a*b + a*c)*cosh(x)^6 + 15*(a^2 - a*c)*cosh(x)^4 + 3*(3*a^2 - a*b + 3*a*c)*cosh(x)^2 + a^2 - a*c)*sinh(x)^2 + a^2 + a*b + a*c + 8*((a^2 + a*b + a*c)*cosh(x)^7 + 3*(a^2 - a*c)*cosh(x)^5 + (3*a^2 - a*b + 3*a*c)*cosh(x)^3 + (a^2 - a*c)*cosh(x))*sinh(x))) - 2*(a^2*cosh(x)^4 + 4*a^2*cosh(x)*sinh(x)^3 + a^2*sinh(x)^4 - 2*a^2*cosh(x)^2 + 2*(3*a^2*cosh(x)^2 - a^2)*sinh(x)^2 + a^2 + 4*(a^2*cosh(x)^3 - a^2*cosh(x))*sinh(x))*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - 2*sqrt(2)*(a^2 + a*b + a*c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/((a^3 + a^2*b + a^2*c)*cosh(x)^4 + 4*(a^3 + a^2*b + a^2*c)*cosh(x)*sinh(x)^3 + (a^3 + a^2*b + a^2*c)*sinh(x)^4 + a^3 + a^2*b + a^2*c - 2*(a^3 + a^2*b + a^2*c)*cosh(x)^2 - 2*(a^3 + a^2*b + a^2*c - 3*(a^3 + a^2*b + a^2*c)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 + a^2*b + a^2*c)*cosh(x)^3 - (a^3 + a^2*b + a^2*c)*cosh(x))*sinh(x))]","B",0
205,1,7896,0,3.797371," ","integrate((a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)*tanh(x),x, algorithm=""fricas"")","\left[\frac{{\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b + 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 2 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) - 4 \, \sqrt{2} c \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)}}, -\frac{4 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b + 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \log\left(\frac{{\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{2} + b^{2} + 4 \, a c - 8 \, c^{2}\right)} \sinh\left(x\right)^{2} - 4 \, \sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2} + 8 \, {\left({\left(b^{2} + 4 \, {\left(a + 2 \, b\right)} c + 8 \, c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, b^{2} + 4 \, {\left(3 \, a - 2 \, b\right)} c + 24 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(b^{2} + 4 \, a c - 8 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) + 4 \, \sqrt{2} c \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{8 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)}}, \frac{{\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b + 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)} \sqrt{a + b + c} \log\left(\frac{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{a + b + c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b + 2 \, {\left(a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{\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) - 2 \, \sqrt{2} c \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)}}, -\frac{2 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)} \sqrt{-a - b - c} \arctan\left(\frac{\sqrt{2} {\left({\left(a + b + c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a + b + c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + a - c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a + b + c\right)} \cosh\left(x\right)^{3} + {\left(a - c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + a + b + c\right)} \sqrt{-a - b - c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{{\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a^{2} + a b - b c - c^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left(a^{2} + 2 \, a b + b^{2} + 2 \, {\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{2} + 2 \, a b - b^{2} + 2 \, {\left(3 \, a + b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{2} + a b - b c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right) - {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b + 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \arctan\left(\frac{\sqrt{2} {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{4} + 4 \, {\left(b + 2 \, c\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(b + 2 \, c\right)} \sinh\left(x\right)^{4} + 2 \, {\left(b - 2 \, c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(b + 2 \, c\right)} \cosh\left(x\right)^{2} + b - 2 \, c\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(b + 2 \, c\right)} \cosh\left(x\right)^{3} + {\left(b - 2 \, c\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + b + 2 \, c\right)} \sqrt{-c} \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{2 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{8} + 8 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left({\left(a + b\right)} c + c^{2}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + {\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{3} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{2} + a c - c^{2}\right)} \sinh\left(x\right)^{2} + {\left(a + b\right)} c + c^{2} + 8 \, {\left({\left({\left(a + b\right)} c + c^{2}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a c - c^{2}\right)} \cosh\left(x\right)^{5} + {\left({\left(3 \, a - b\right)} c + 3 \, c^{2}\right)} \cosh\left(x\right)^{3} + {\left(a c - c^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}\right) + 2 \, \sqrt{2} c \sqrt{\frac{{\left(a + b + c\right)} \cosh\left(x\right)^{4} + {\left(a + b + c\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a - c\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a + b + c\right)} \cosh\left(x\right)^{2} + 2 \, a - 2 \, c\right)} \sinh\left(x\right)^{2} + 3 \, a - b + 3 \, c}{\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}}}}{4 \, {\left(c \cosh\left(x\right)^{4} + 4 \, c \cosh\left(x\right) \sinh\left(x\right)^{3} + c \sinh\left(x\right)^{4} + 2 \, c \cosh\left(x\right)^{2} + 2 \, {\left(3 \, c \cosh\left(x\right)^{2} + c\right)} \sinh\left(x\right)^{2} + 4 \, {\left(c \cosh\left(x\right)^{3} + c \cosh\left(x\right)\right)} \sinh\left(x\right) + c\right)}}\right]"," ",0,"[1/8*(((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b + 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b + 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b + 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)) + 2*(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c)*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) - 4*sqrt(2)*c*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c), -1/8*(4*(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c)*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - ((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b + 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b + 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b + 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*log(((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^8 + 8*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)*sinh(x)^7 + (b^2 + 4*(a + 2*b)*c + 8*c^2)*sinh(x)^8 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^6 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^6 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^3 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x))*sinh(x)^5 + 2*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^4 + 2*(35*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^4 + 30*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*sinh(x)^4 + 8*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^5 + 10*(b^2 + 4*a*c - 8*c^2)*cosh(x)^3 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x))*sinh(x)^3 + 4*(b^2 + 4*a*c - 8*c^2)*cosh(x)^2 + 4*(7*(b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^6 + 15*(b^2 + 4*a*c - 8*c^2)*cosh(x)^4 + 3*(3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^2 + b^2 + 4*a*c - 8*c^2)*sinh(x)^2 - 4*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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^2 + 4*(a + 2*b)*c + 8*c^2 + 8*((b^2 + 4*(a + 2*b)*c + 8*c^2)*cosh(x)^7 + 3*(b^2 + 4*a*c - 8*c^2)*cosh(x)^5 + (3*b^2 + 4*(3*a - 2*b)*c + 24*c^2)*cosh(x)^3 + (b^2 + 4*a*c - 8*c^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)) + 4*sqrt(2)*c*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c), 1/4*(((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b + 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b + 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b + 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))) + (c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c)*sqrt(a + b + c)*log(((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(a + b + c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)) + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b + 2*(a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*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)) - 2*sqrt(2)*c*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c), -1/4*(2*(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c)*sqrt(-a - b - c)*arctan(sqrt(2)*((a + b + c)*cosh(x)^4 + 4*(a + b + c)*cosh(x)*sinh(x)^3 + (a + b + c)*sinh(x)^4 + 2*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + a - c)*sinh(x)^2 + 4*((a + b + c)*cosh(x)^3 + (a - c)*cosh(x))*sinh(x) + a + b + c)*sqrt(-a - b - c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^8 + 8*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)*sinh(x)^7 + (a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*sinh(x)^8 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^6 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^6 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^3 + 3*(a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x)^5 + 2*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^4 + 2*(35*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^4 + 30*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*sinh(x)^4 + 8*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^5 + 10*(a^2 + a*b - b*c - c^2)*cosh(x)^3 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a^2 + a*b - b*c - c^2)*cosh(x)^2 + 4*(7*(a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^6 + 15*(a^2 + a*b - b*c - c^2)*cosh(x)^4 + 3*(3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^2 + a^2 + a*b - b*c - c^2)*sinh(x)^2 + a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2 + 8*((a^2 + 2*a*b + b^2 + 2*(a + b)*c + c^2)*cosh(x)^7 + 3*(a^2 + a*b - b*c - c^2)*cosh(x)^5 + (3*a^2 + 2*a*b - b^2 + 2*(3*a + b)*c + 3*c^2)*cosh(x)^3 + (a^2 + a*b - b*c - c^2)*cosh(x))*sinh(x))) - ((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b + 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b + 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b + 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*arctan(1/2*sqrt(2)*((b + 2*c)*cosh(x)^4 + 4*(b + 2*c)*cosh(x)*sinh(x)^3 + (b + 2*c)*sinh(x)^4 + 2*(b - 2*c)*cosh(x)^2 + 2*(3*(b + 2*c)*cosh(x)^2 + b - 2*c)*sinh(x)^2 + 4*((b + 2*c)*cosh(x)^3 + (b - 2*c)*cosh(x))*sinh(x) + b + 2*c)*sqrt(-c)*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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))/(((a + b)*c + c^2)*cosh(x)^8 + 8*((a + b)*c + c^2)*cosh(x)*sinh(x)^7 + ((a + b)*c + c^2)*sinh(x)^8 + 4*(a*c - c^2)*cosh(x)^6 + 4*(7*((a + b)*c + c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^6 + 8*(7*((a + b)*c + c^2)*cosh(x)^3 + 3*(a*c - c^2)*cosh(x))*sinh(x)^5 + 2*((3*a - b)*c + 3*c^2)*cosh(x)^4 + 2*(35*((a + b)*c + c^2)*cosh(x)^4 + 30*(a*c - c^2)*cosh(x)^2 + (3*a - b)*c + 3*c^2)*sinh(x)^4 + 8*(7*((a + b)*c + c^2)*cosh(x)^5 + 10*(a*c - c^2)*cosh(x)^3 + ((3*a - b)*c + 3*c^2)*cosh(x))*sinh(x)^3 + 4*(a*c - c^2)*cosh(x)^2 + 4*(7*((a + b)*c + c^2)*cosh(x)^6 + 15*(a*c - c^2)*cosh(x)^4 + 3*((3*a - b)*c + 3*c^2)*cosh(x)^2 + a*c - c^2)*sinh(x)^2 + (a + b)*c + c^2 + 8*(((a + b)*c + c^2)*cosh(x)^7 + 3*(a*c - c^2)*cosh(x)^5 + ((3*a - b)*c + 3*c^2)*cosh(x)^3 + (a*c - c^2)*cosh(x))*sinh(x))) + 2*sqrt(2)*c*sqrt(((a + b + c)*cosh(x)^4 + (a + b + c)*sinh(x)^4 + 4*(a - c)*cosh(x)^2 + 2*(3*(a + b + c)*cosh(x)^2 + 2*a - 2*c)*sinh(x)^2 + 3*a - b + 3*c)/(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)))/(c*cosh(x)^4 + 4*c*cosh(x)*sinh(x)^3 + c*sinh(x)^4 + 2*c*cosh(x)^2 + 2*(3*c*cosh(x)^2 + c)*sinh(x)^2 + 4*(c*cosh(x)^3 + c*cosh(x))*sinh(x) + c)]","B",0
206,1,604,0,0.757242," ","integrate(exp(b*x+a)*tanh(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b x + a\right)^{7} + 21 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 3 \, \sinh\left(b x + a\right)^{7} + 3 \, {\left(21 \, \cosh\left(b x + a\right)^{2} + 8\right)} \sinh\left(b x + a\right)^{5} + 24 \, \cosh\left(b x + a\right)^{5} + 15 \, {\left(7 \, \cosh\left(b x + a\right)^{3} + 8 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 5 \, {\left(21 \, \cosh\left(b x + a\right)^{4} + 48 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{3} + 25 \, \cosh\left(b x + a\right)^{3} + 3 \, {\left(21 \, \cosh\left(b x + a\right)^{5} + 80 \, \cosh\left(b x + a\right)^{3} + 25 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 9 \, {\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(7 \, \cosh\left(b x + a\right)^{6} + 40 \, \cosh\left(b x + a\right)^{4} + 25 \, \cosh\left(b x + a\right)^{2} + 4\right)} \sinh\left(b x + a\right) + 12 \, \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*(3*cosh(b*x + a)^7 + 21*cosh(b*x + a)*sinh(b*x + a)^6 + 3*sinh(b*x + a)^7 + 3*(21*cosh(b*x + a)^2 + 8)*sinh(b*x + a)^5 + 24*cosh(b*x + a)^5 + 15*(7*cosh(b*x + a)^3 + 8*cosh(b*x + a))*sinh(b*x + a)^4 + 5*(21*cosh(b*x + a)^4 + 48*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^3 + 25*cosh(b*x + a)^3 + 3*(21*cosh(b*x + a)^5 + 80*cosh(b*x + a)^3 + 25*cosh(b*x + a))*sinh(b*x + a)^2 - 9*(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*(7*cosh(b*x + a)^6 + 40*cosh(b*x + a)^4 + 25*cosh(b*x + a)^2 + 4)*sinh(b*x + a) + 12*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
207,1,339,0,0.506426," ","integrate(exp(b*x+a)*tanh(b*x+a)^3,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} + 5 \, {\left(2 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right)^{3} + 5 \, \cosh\left(b x + a\right)^{3} + 5 \, {\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)} \arctan\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + {\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) + 2 \, \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)^5 + 5*cosh(b*x + a)*sinh(b*x + a)^4 + sinh(b*x + a)^5 + 5*(2*cosh(b*x + a)^2 + 1)*sinh(b*x + a)^3 + 5*cosh(b*x + a)^3 + 5*(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)*arctan(cosh(b*x + a) + sinh(b*x + a)) + (5*cosh(b*x + a)^4 + 15*cosh(b*x + a)^2 + 2)*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
208,1,147,0,0.929592," ","integrate(exp(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} - 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) + 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 - 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)) + 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
209,1,38,0,0.613633," ","integrate(exp(b*x+a)*tanh(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, \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)}{b}"," ",0,"-(2*arctan(cosh(b*x + a) + sinh(b*x + a)) - cosh(b*x + a) - sinh(b*x + a))/b","A",0
210,1,49,0,0.469085," ","integrate(exp(b*x+a)*coth(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
211,1,198,0,0.473026," ","integrate(exp(b*x+a)*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} + \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
212,1,459,0,0.631829," ","integrate(exp(b*x+a)*coth(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
213,1,796,0,0.520179," ","integrate(exp(b*x+a)*coth(b*x+a)^4,x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b x + a\right)^{7} + 42 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 6 \, \sinh\left(b x + a\right)^{7} + 6 \, {\left(21 \, \cosh\left(b x + a\right)^{2} - 8\right)} \sinh\left(b x + a\right)^{5} - 48 \, \cosh\left(b x + a\right)^{5} + 30 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 8 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{4} - 48 \, \cosh\left(b x + a\right)^{2} + 5\right)} \sinh\left(b x + a\right)^{3} + 50 \, \cosh\left(b x + a\right)^{3} + 6 \, {\left(21 \, \cosh\left(b x + a\right)^{5} - 80 \, \cosh\left(b x + a\right)^{3} + 25 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 9 \, {\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) + 9 \, {\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(7 \, \cosh\left(b x + a\right)^{6} - 40 \, \cosh\left(b x + a\right)^{4} + 25 \, \cosh\left(b x + a\right)^{2} - 4\right)} \sinh\left(b x + a\right) - 24 \, \cosh\left(b x + a\right)}{6 \, {\left(b \cosh\left(b x + a\right)^{6} + 6 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{5} + b \sinh\left(b x + a\right)^{6} - 3 \, b \cosh\left(b x + a\right)^{4} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(5 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} + 3 \, {\left(5 \, b \cosh\left(b x + a\right)^{4} - 6 \, b \cosh\left(b x + a\right)^{2} + b\right)} \sinh\left(b x + a\right)^{2} + 6 \, {\left(b \cosh\left(b x + a\right)^{5} - 2 \, b \cosh\left(b x + a\right)^{3} + b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - b\right)}}"," ",0,"1/6*(6*cosh(b*x + a)^7 + 42*cosh(b*x + a)*sinh(b*x + a)^6 + 6*sinh(b*x + a)^7 + 6*(21*cosh(b*x + a)^2 - 8)*sinh(b*x + a)^5 - 48*cosh(b*x + a)^5 + 30*(7*cosh(b*x + a)^3 - 8*cosh(b*x + a))*sinh(b*x + a)^4 + 10*(21*cosh(b*x + a)^4 - 48*cosh(b*x + a)^2 + 5)*sinh(b*x + a)^3 + 50*cosh(b*x + a)^3 + 6*(21*cosh(b*x + a)^5 - 80*cosh(b*x + a)^3 + 25*cosh(b*x + a))*sinh(b*x + a)^2 - 9*(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) + 9*(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*(7*cosh(b*x + a)^6 - 40*cosh(b*x + a)^4 + 25*cosh(b*x + a)^2 - 4)*sinh(b*x + a) - 24*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
214,1,168,0,1.135995," ","integrate(exp(x)*tanh(2*x)^2,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(5 \, x\right)} + 16 \, e^{x}}{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^(5*x) + 16*e^x)/(e^(4*x) + 1)","B",0
215,1,113,0,0.583803," ","integrate(exp(x)*tanh(2*x),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) + \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + e^{x}"," ",0,"sqrt(2)*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + sqrt(2)*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 1/4*sqrt(2)*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1/4*sqrt(2)*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + e^x","A",0
216,1,31,0,0.510154," ","integrate(exp(x)*coth(2*x),x, algorithm=""fricas"")","-\arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + \cosh\left(x\right) - \frac{1}{2} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \frac{1}{2} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + \sinh\left(x\right)"," ",0,"-arctan(cosh(x) + sinh(x)) + cosh(x) - 1/2*log(cosh(x) + sinh(x) + 1) + 1/2*log(cosh(x) + sinh(x) - 1) + sinh(x)","B",0
217,1,230,0,0.531894," ","integrate(exp(x)*coth(2*x)^2,x, algorithm=""fricas"")","\frac{4 \, \cosh\left(x\right)^{5} + 40 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 40 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 20 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + 4 \, \sinh\left(x\right)^{5} - 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(5 \, \cosh\left(x\right)^{4} - 2\right)} \sinh\left(x\right) - 8 \, \cosh\left(x\right)}{4 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)}}"," ",0,"1/4*(4*cosh(x)^5 + 40*cosh(x)^3*sinh(x)^2 + 40*cosh(x)^2*sinh(x)^3 + 20*cosh(x)*sinh(x)^4 + 4*sinh(x)^5 - 2*(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*arctan(cosh(x) + sinh(x)) - (cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*log(cosh(x) + sinh(x) + 1) + (cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)*log(cosh(x) + sinh(x) - 1) + 4*(5*cosh(x)^4 - 2)*sinh(x) - 8*cosh(x))/(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)","B",0
218,1,160,0,0.523898," ","integrate(exp(x)*tanh(3*x)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(\sqrt{3} + \sqrt{-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - 2 \, e^{x}\right) + 4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(-\sqrt{3} + 2 \, \sqrt{\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1} - 2 \, e^{x}\right) - 4 \, {\left(e^{\left(6 \, x\right)} + 1\right)} \arctan\left(e^{x}\right) - {\left(\sqrt{3} e^{\left(6 \, x\right)} + \sqrt{3}\right)} \log\left(4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{3} e^{\left(6 \, x\right)} + \sqrt{3}\right)} \log\left(-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + 18 \, e^{\left(7 \, x\right)} + 30 \, e^{x}}{18 \, {\left(e^{\left(6 \, x\right)} + 1\right)}}"," ",0,"1/18*(4*(e^(6*x) + 1)*arctan(sqrt(3) + sqrt(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) - 2*e^x) + 4*(e^(6*x) + 1)*arctan(-sqrt(3) + 2*sqrt(sqrt(3)*e^x + e^(2*x) + 1) - 2*e^x) - 4*(e^(6*x) + 1)*arctan(e^x) - (sqrt(3)*e^(6*x) + sqrt(3))*log(4*sqrt(3)*e^x + 4*e^(2*x) + 4) + (sqrt(3)*e^(6*x) + sqrt(3))*log(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) + 18*e^(7*x) + 30*e^x)/(e^(6*x) + 1)","A",0
219,1,107,0,0.489242," ","integrate(exp(x)*tanh(3*x),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \log\left(4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{6} \, \sqrt{3} \log\left(-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{2}{3} \, \arctan\left(\sqrt{3} + \sqrt{-4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - 2 \, e^{x}\right) + \frac{2}{3} \, \arctan\left(-\sqrt{3} + 2 \, \sqrt{\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1} - 2 \, e^{x}\right) - \frac{2}{3} \, \arctan\left(e^{x}\right) + e^{x}"," ",0,"-1/6*sqrt(3)*log(4*sqrt(3)*e^x + 4*e^(2*x) + 4) + 1/6*sqrt(3)*log(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) + 2/3*arctan(sqrt(3) + sqrt(-4*sqrt(3)*e^x + 4*e^(2*x) + 4) - 2*e^x) + 2/3*arctan(-sqrt(3) + 2*sqrt(sqrt(3)*e^x + e^(2*x) + 1) - 2*e^x) - 2/3*arctan(e^x) + e^x","A",0
220,1,113,0,0.700406," ","integrate(exp(x)*coth(3*x),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) - \frac{1}{3} \, \sqrt{3}\right) + \cosh\left(x\right) - \frac{1}{6} \, \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + \frac{1}{6} \, \log\left(\frac{2 \, \cosh\left(x\right) - 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - \frac{1}{3} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \frac{1}{3} \, \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + \sinh\left(x\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) + 1/3*sqrt(3)) - 1/3*sqrt(3)*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) - 1/3*sqrt(3)) + cosh(x) - 1/6*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) + 1/6*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) - 1/3*log(cosh(x) + sinh(x) + 1) + 1/3*log(cosh(x) + sinh(x) - 1) + sinh(x)","A",0
221,1,628,0,0.561065," ","integrate(exp(x)*coth(3*x)^2,x, algorithm=""fricas"")","\frac{18 \, \cosh\left(x\right)^{7} + 378 \, \cosh\left(x\right)^{5} \sinh\left(x\right)^{2} + 630 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{3} + 630 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{4} + 378 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{5} + 126 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + 18 \, \sinh\left(x\right)^{7} - 2 \, {\left(\sqrt{3} \cosh\left(x\right)^{6} + 6 \, \sqrt{3} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \sqrt{3} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \sqrt{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \sqrt{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{3} \sinh\left(x\right)^{6} - \sqrt{3}\right)} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) + \frac{1}{3} \, \sqrt{3}\right) - 2 \, {\left(\sqrt{3} \cosh\left(x\right)^{6} + 6 \, \sqrt{3} \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \sqrt{3} \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \sqrt{3} \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \sqrt{3} \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{3} \sinh\left(x\right)^{6} - \sqrt{3}\right)} \arctan\left(\frac{2}{3} \, \sqrt{3} \cosh\left(x\right) + \frac{2}{3} \, \sqrt{3} \sinh\left(x\right) - \frac{1}{3} \, \sqrt{3}\right) - {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\frac{2 \, \cosh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\frac{2 \, \cosh\left(x\right) - 1}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 2 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 6 \, {\left(21 \, \cosh\left(x\right)^{6} - 5\right)} \sinh\left(x\right) - 30 \, \cosh\left(x\right)}{18 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} - 1\right)}}"," ",0,"1/18*(18*cosh(x)^7 + 378*cosh(x)^5*sinh(x)^2 + 630*cosh(x)^4*sinh(x)^3 + 630*cosh(x)^3*sinh(x)^4 + 378*cosh(x)^2*sinh(x)^5 + 126*cosh(x)*sinh(x)^6 + 18*sinh(x)^7 - 2*(sqrt(3)*cosh(x)^6 + 6*sqrt(3)*cosh(x)^5*sinh(x) + 15*sqrt(3)*cosh(x)^4*sinh(x)^2 + 20*sqrt(3)*cosh(x)^3*sinh(x)^3 + 15*sqrt(3)*cosh(x)^2*sinh(x)^4 + 6*sqrt(3)*cosh(x)*sinh(x)^5 + sqrt(3)*sinh(x)^6 - sqrt(3))*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) + 1/3*sqrt(3)) - 2*(sqrt(3)*cosh(x)^6 + 6*sqrt(3)*cosh(x)^5*sinh(x) + 15*sqrt(3)*cosh(x)^4*sinh(x)^2 + 20*sqrt(3)*cosh(x)^3*sinh(x)^3 + 15*sqrt(3)*cosh(x)^2*sinh(x)^4 + 6*sqrt(3)*cosh(x)*sinh(x)^5 + sqrt(3)*sinh(x)^6 - sqrt(3))*arctan(2/3*sqrt(3)*cosh(x) + 2/3*sqrt(3)*sinh(x) - 1/3*sqrt(3)) - (cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log((2*cosh(x) + 1)/(cosh(x) - sinh(x))) + (cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log((2*cosh(x) - 1)/(cosh(x) - sinh(x))) - 2*(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log(cosh(x) + sinh(x) + 1) + 2*(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)*log(cosh(x) + sinh(x) - 1) + 6*(21*cosh(x)^6 - 5)*sinh(x) - 30*cosh(x))/(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 - 1)","B",0
222,1,1373,0,0.574778," ","integrate(exp(x)*tanh(4*x)^2,x, algorithm=""fricas"")","\frac{8 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \arctan\left(\frac{2 \, \sqrt{\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + 8 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \arctan\left(\frac{2 \, \sqrt{-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - 2 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 2 \, \sqrt{-\sqrt{2} + 2} {\left(e^{\left(8 \, x\right)} + 1\right)} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 8 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + 8 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) - 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - 4 \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} - {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + {\left(\sqrt{2} e^{\left(8 \, x\right)} + \sqrt{2}\right)} \sqrt{-\sqrt{2} + 2} + \sqrt{2} \sqrt{\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - 2 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 2 \, {\left(\sqrt{\sqrt{2} + 2} e^{\left(8 \, x\right)} + \sqrt{\sqrt{2} + 2}\right)} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + 128 \, e^{\left(9 \, x\right)} + 192 \, e^{x}}{128 \, {\left(e^{\left(8 \, x\right)} + 1\right)}}"," ",0,"1/128*(8*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*arctan((2*sqrt(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 8*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*arctan((2*sqrt(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 2*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 2*sqrt(-sqrt(2) + 2)*(e^(8*x) + 1)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 8*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*arctan((2*sqrt(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 8*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*arctan((2*sqrt(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) - 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - 4*(sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) - (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*sqrt(sqrt(2) + 2)*e^(8*x) + (sqrt(2)*e^(8*x) + sqrt(2))*sqrt(-sqrt(2) + 2) + sqrt(2)*sqrt(sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - 2*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 2*(sqrt(sqrt(2) + 2)*e^(8*x) + sqrt(sqrt(2) + 2))*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 128*e^(9*x) + 192*e^x)/(e^(8*x) + 1)","B",0
223,1,1089,0,0.649688," ","integrate(exp(x)*tanh(4*x),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{8} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} e^{x} - \sqrt{2} \sqrt{-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} - \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} + 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{32} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(-2 \, \sqrt{2} \sqrt{\sqrt{2} + 2} e^{x} - 2 \, \sqrt{2} \sqrt{-\sqrt{2} + 2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} - \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, \sqrt{-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1} + \sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + e^{x}"," ",0,"1/8*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) - 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - 1/8*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*e^x - sqrt(2)*sqrt(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) - 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) - 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x + 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + 1/32*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(-2*sqrt(2)*sqrt(sqrt(2) + 2)*e^x - 2*sqrt(2)*sqrt(-sqrt(2) + 2)*e^x + 4*e^(2*x) + 4) + 1/4*sqrt(-sqrt(2) + 2)*arctan((2*sqrt(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/4*sqrt(-sqrt(2) + 2)*arctan((2*sqrt(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/4*sqrt(sqrt(2) + 2)*arctan((2*sqrt(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 1/4*sqrt(sqrt(2) + 2)*arctan((2*sqrt(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) - 1/16*sqrt(sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/16*sqrt(sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/16*sqrt(-sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/16*sqrt(-sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + e^x","B",0
224,1,134,0,1.071680," ","integrate(exp(x)*coth(4*x),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + \frac{1}{8} \, \sqrt{2} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - \frac{1}{2} \, \arctan\left(e^{x}\right) + e^{x} - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left(e^{x} - 1\right)"," ",0,"1/2*sqrt(2)*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 1/2*sqrt(2)*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 1/8*sqrt(2)*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1/8*sqrt(2)*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 1/2*arctan(e^x) + e^x - 1/4*log(e^x + 1) + 1/4*log(e^x - 1)","A",0
225,1,213,0,0.527401," ","integrate(exp(x)*coth(4*x)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \sqrt{2} \sqrt{\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1} - 1\right) + 4 \, {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \arctan\left(-\sqrt{2} e^{x} + \frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4} + 1\right) - 4 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \arctan\left(e^{x}\right) - {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \log\left(4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) + {\left(\sqrt{2} e^{\left(8 \, x\right)} - \sqrt{2}\right)} \log\left(-4 \, \sqrt{2} e^{x} + 4 \, e^{\left(2 \, x\right)} + 4\right) - 2 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \log\left(e^{x} + 1\right) + 2 \, {\left(e^{\left(8 \, x\right)} - 1\right)} \log\left(e^{x} - 1\right) + 32 \, e^{\left(9 \, x\right)} - 48 \, e^{x}}{32 \, {\left(e^{\left(8 \, x\right)} - 1\right)}}"," ",0,"1/32*(4*(sqrt(2)*e^(8*x) - sqrt(2))*arctan(-sqrt(2)*e^x + sqrt(2)*sqrt(sqrt(2)*e^x + e^(2*x) + 1) - 1) + 4*(sqrt(2)*e^(8*x) - sqrt(2))*arctan(-sqrt(2)*e^x + 1/2*sqrt(2)*sqrt(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) + 1) - 4*(e^(8*x) - 1)*arctan(e^x) - (sqrt(2)*e^(8*x) - sqrt(2))*log(4*sqrt(2)*e^x + 4*e^(2*x) + 4) + (sqrt(2)*e^(8*x) - sqrt(2))*log(-4*sqrt(2)*e^x + 4*e^(2*x) + 4) - 2*(e^(8*x) - 1)*log(e^x + 1) + 2*(e^(8*x) - 1)*log(e^x - 1) + 32*e^(9*x) - 48*e^x)/(e^(8*x) - 1)","B",0
226,1,440,0,0.496958," ","integrate(exp(x)/(a-tanh(2*x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(a - 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \arctan\left(-{\left(a^{6} - 2 \, a^{5} - a^{4} + 4 \, a^{3} - a^{2} - 2 \, a + 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{3}{4}} e^{x} + {\left(a^{6} - 2 \, a^{5} - a^{4} + 4 \, a^{3} - a^{2} - 2 \, a + 1\right)} \sqrt{{\left(a^{4} - 2 \, a^{2} + 1\right)} \sqrt{-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}} + e^{\left(2 \, x\right)}} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{3}{4}}\right) + {\left(a - 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \log\left({\left(a^{2} - 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} + e^{x}\right) - {\left(a - 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \log\left(-{\left(a^{2} - 1\right)} \left(-\frac{1}{a^{8} - 2 \, a^{7} - 2 \, a^{6} + 6 \, a^{5} - 6 \, a^{3} + 2 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} + e^{x}\right) - 2 \, e^{x}}{2 \, {\left(a - 1\right)}}"," ",0,"-1/2*(4*(a - 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(1/4)*arctan(-(a^6 - 2*a^5 - a^4 + 4*a^3 - a^2 - 2*a + 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(3/4)*e^x + (a^6 - 2*a^5 - a^4 + 4*a^3 - a^2 - 2*a + 1)*sqrt((a^4 - 2*a^2 + 1)*sqrt(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1)) + e^(2*x))*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(3/4)) + (a - 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(1/4)*log((a^2 - 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(1/4) + e^x) - (a - 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(1/4)*log(-(a^2 - 1)*(-1/(a^8 - 2*a^7 - 2*a^6 + 6*a^5 - 6*a^3 + 2*a^2 + 2*a - 1))^(1/4) + e^x) - 2*e^x)/(a - 1)","B",0
227,1,1163,0,0.606505," ","integrate(exp(x)/(a-tanh(2*x))^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(a^{4} - 2 \, a^{2} + {\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)} e^{\left(4 \, x\right)} + 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \arctan\left(-\frac{{\left(4 \, a^{13} - 7 \, a^{12} - 18 \, a^{11} + 36 \, a^{10} + 30 \, a^{9} - 75 \, a^{8} - 20 \, a^{7} + 80 \, a^{6} - 45 \, a^{4} + 6 \, a^{3} + 12 \, a^{2} - 2 \, a - 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{3}{4}} e^{x} - {\left(a^{12} - 2 \, a^{11} - 4 \, a^{10} + 10 \, a^{9} + 5 \, a^{8} - 20 \, a^{7} + 20 \, a^{5} - 5 \, a^{4} - 10 \, a^{3} + 4 \, a^{2} + 2 \, a - 1\right)} \sqrt{{\left(16 \, a^{2} + 8 \, a + 1\right)} e^{\left(2 \, x\right)} + {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} \sqrt{-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}}} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{3}{4}}}{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}\right) + {\left(a^{4} - 2 \, a^{2} + {\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)} e^{\left(4 \, x\right)} + 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \log\left({\left(4 \, a + 1\right)} e^{x} + {\left(a^{4} - 2 \, a^{2} + 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}}\right) - {\left(a^{4} - 2 \, a^{2} + {\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)} e^{\left(4 \, x\right)} + 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}} \log\left({\left(4 \, a + 1\right)} e^{x} - {\left(a^{4} - 2 \, a^{2} + 1\right)} \left(-\frac{256 \, a^{4} + 256 \, a^{3} + 96 \, a^{2} + 16 \, a + 1}{a^{16} - 2 \, a^{15} - 6 \, a^{14} + 14 \, a^{13} + 14 \, a^{12} - 42 \, a^{11} - 14 \, a^{10} + 70 \, a^{9} - 70 \, a^{7} + 14 \, a^{6} + 42 \, a^{5} - 14 \, a^{4} - 14 \, a^{3} + 6 \, a^{2} + 2 \, a - 1}\right)^{\frac{1}{4}}\right) - 4 \, {\left(a^{2} - 1\right)} e^{\left(5 \, x\right)} - 4 \, {\left(a^{2} + 2 \, a + 2\right)} e^{x}}{4 \, {\left(a^{4} - 2 \, a^{2} + {\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)} e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/4*(4*(a^4 - 2*a^2 + (a^4 - 2*a^3 + 2*a - 1)*e^(4*x) + 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(1/4)*arctan(-((4*a^13 - 7*a^12 - 18*a^11 + 36*a^10 + 30*a^9 - 75*a^8 - 20*a^7 + 80*a^6 - 45*a^4 + 6*a^3 + 12*a^2 - 2*a - 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(3/4)*e^x - (a^12 - 2*a^11 - 4*a^10 + 10*a^9 + 5*a^8 - 20*a^7 + 20*a^5 - 5*a^4 - 10*a^3 + 4*a^2 + 2*a - 1)*sqrt((16*a^2 + 8*a + 1)*e^(2*x) + (a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*sqrt(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1)))*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(3/4))/(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)) + (a^4 - 2*a^2 + (a^4 - 2*a^3 + 2*a - 1)*e^(4*x) + 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(1/4)*log((4*a + 1)*e^x + (a^4 - 2*a^2 + 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(1/4)) - (a^4 - 2*a^2 + (a^4 - 2*a^3 + 2*a - 1)*e^(4*x) + 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(1/4)*log((4*a + 1)*e^x - (a^4 - 2*a^2 + 1)*(-(256*a^4 + 256*a^3 + 96*a^2 + 16*a + 1)/(a^16 - 2*a^15 - 6*a^14 + 14*a^13 + 14*a^12 - 42*a^11 - 14*a^10 + 70*a^9 - 70*a^7 + 14*a^6 + 42*a^5 - 14*a^4 - 14*a^3 + 6*a^2 + 2*a - 1))^(1/4)) - 4*(a^2 - 1)*e^(5*x) - 4*(a^2 + 2*a + 2)*e^x)/(a^4 - 2*a^2 + (a^4 - 2*a^3 + 2*a - 1)*e^(4*x) + 1)","B",0
228,0,0,0,0.750234," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b c x + a c\right)} \tanh\left(e x + d\right)^{3}, x\right)"," ",0,"integral(e^(b*c*x + a*c)*tanh(e*x + d)^3, x)","F",0
229,0,0,0,0.559545," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b c x + a c\right)} \tanh\left(e x + d\right)^{2}, x\right)"," ",0,"integral(e^(b*c*x + a*c)*tanh(e*x + d)^2, x)","F",0
230,0,0,0,0.804746," ","integrate(exp(c*(b*x+a))*tanh(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(b c x + a c\right)} \tanh\left(e x + d\right), x\right)"," ",0,"integral(e^(b*c*x + a*c)*tanh(e*x + d), x)","F",0
231,0,0,0,0.531824," ","integrate(exp(c*(b*x+a))*coth(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\coth\left(e x + d\right) e^{\left(b c x + a c\right)}, x\right)"," ",0,"integral(coth(e*x + d)*e^(b*c*x + a*c), x)","F",0
232,0,0,0,0.503646," ","integrate(exp(c*(b*x+a))*coth(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\coth\left(e x + d\right)^{2} e^{\left(b c x + a c\right)}, x\right)"," ",0,"integral(coth(e*x + d)^2*e^(b*c*x + a*c), x)","F",0
233,0,0,0,0.555340," ","integrate(exp(c*(b*x+a))*coth(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\coth\left(e x + d\right)^{3} e^{\left(b c x + a c\right)}, x\right)"," ",0,"integral(coth(e*x + d)^3*e^(b*c*x + a*c), x)","F",0
234,1,1226,0,0.540516," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","\frac{12 \, \cosh\left(b c x + a c\right)^{9} + 108 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{8} + 12 \, \sinh\left(b c x + a c\right)^{9} + 3 \, {\left(144 \, \cosh\left(b c x + a c\right)^{2} + 41\right)} \sinh\left(b c x + a c\right)^{7} + 123 \, \cosh\left(b c x + a c\right)^{7} + 21 \, {\left(48 \, \cosh\left(b c x + a c\right)^{3} + 41 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{6} + {\left(1512 \, \cosh\left(b c x + a c\right)^{4} + 2583 \, \cosh\left(b c x + a c\right)^{2} + 187\right)} \sinh\left(b c x + a c\right)^{5} + 187 \, \cosh\left(b c x + a c\right)^{5} + {\left(1512 \, \cosh\left(b c x + a c\right)^{5} + 4305 \, \cosh\left(b c x + a c\right)^{3} + 935 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{4} + {\left(1008 \, \cosh\left(b c x + a c\right)^{6} + 4305 \, \cosh\left(b c x + a c\right)^{4} + 1870 \, \cosh\left(b c x + a c\right)^{2} + 157\right)} \sinh\left(b c x + a c\right)^{3} + 157 \, \cosh\left(b c x + a c\right)^{3} + {\left(432 \, \cosh\left(b c x + a c\right)^{7} + 2583 \, \cosh\left(b c x + a c\right)^{5} + 1870 \, \cosh\left(b c x + a c\right)^{3} + 471 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 45 \, {\left(\cosh\left(b c x + a c\right)^{8} + 8 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{7} + \sinh\left(b c x + a c\right)^{8} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} + 1\right)} \sinh\left(b c x + a c\right)^{6} + 4 \, \cosh\left(b c x + a c\right)^{6} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{5} + 2 \, {\left(35 \, \cosh\left(b c x + a c\right)^{4} + 30 \, \cosh\left(b c x + a c\right)^{2} + 3\right)} \sinh\left(b c x + a c\right)^{4} + 6 \, \cosh\left(b c x + a c\right)^{4} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{5} + 10 \, \cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{6} + 15 \, \cosh\left(b c x + a c\right)^{4} + 9 \, \cosh\left(b c x + a c\right)^{2} + 1\right)} \sinh\left(b c x + a c\right)^{2} + 4 \, \cosh\left(b c x + a c\right)^{2} + 8 \, {\left(\cosh\left(b c x + a c\right)^{7} + 3 \, \cosh\left(b c x + a c\right)^{5} + 3 \, \cosh\left(b c x + a c\right)^{3} + \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \arctan\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right)\right) + {\left(108 \, \cosh\left(b c x + a c\right)^{8} + 861 \, \cosh\left(b c x + a c\right)^{6} + 935 \, \cosh\left(b c x + a c\right)^{4} + 471 \, \cosh\left(b c x + a c\right)^{2} + 33\right)} \sinh\left(b c x + a c\right) + 33 \, \cosh\left(b c x + a c\right)}{12 \, {\left(b c \cosh\left(b c x + a c\right)^{8} + 8 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{7} + b c \sinh\left(b c x + a c\right)^{8} + 4 \, b c \cosh\left(b c x + a c\right)^{6} + 4 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{2} + b c\right)} \sinh\left(b c x + a c\right)^{6} + 6 \, b c \cosh\left(b c x + a c\right)^{4} + 8 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{5} + 2 \, {\left(35 \, b c \cosh\left(b c x + a c\right)^{4} + 30 \, b c \cosh\left(b c x + a c\right)^{2} + 3 \, b c\right)} \sinh\left(b c x + a c\right)^{4} + 4 \, b c \cosh\left(b c x + a c\right)^{2} + 8 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{5} + 10 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + 4 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{6} + 15 \, b c \cosh\left(b c x + a c\right)^{4} + 9 \, b c \cosh\left(b c x + a c\right)^{2} + b c\right)} \sinh\left(b c x + a c\right)^{2} + b c + 8 \, {\left(b c \cosh\left(b c x + a c\right)^{7} + 3 \, b c \cosh\left(b c x + a c\right)^{5} + 3 \, b c \cosh\left(b c x + a c\right)^{3} + b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/12*(12*cosh(b*c*x + a*c)^9 + 108*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^8 + 12*sinh(b*c*x + a*c)^9 + 3*(144*cosh(b*c*x + a*c)^2 + 41)*sinh(b*c*x + a*c)^7 + 123*cosh(b*c*x + a*c)^7 + 21*(48*cosh(b*c*x + a*c)^3 + 41*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^6 + (1512*cosh(b*c*x + a*c)^4 + 2583*cosh(b*c*x + a*c)^2 + 187)*sinh(b*c*x + a*c)^5 + 187*cosh(b*c*x + a*c)^5 + (1512*cosh(b*c*x + a*c)^5 + 4305*cosh(b*c*x + a*c)^3 + 935*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^4 + (1008*cosh(b*c*x + a*c)^6 + 4305*cosh(b*c*x + a*c)^4 + 1870*cosh(b*c*x + a*c)^2 + 157)*sinh(b*c*x + a*c)^3 + 157*cosh(b*c*x + a*c)^3 + (432*cosh(b*c*x + a*c)^7 + 2583*cosh(b*c*x + a*c)^5 + 1870*cosh(b*c*x + a*c)^3 + 471*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 45*(cosh(b*c*x + a*c)^8 + 8*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^7 + sinh(b*c*x + a*c)^8 + 4*(7*cosh(b*c*x + a*c)^2 + 1)*sinh(b*c*x + a*c)^6 + 4*cosh(b*c*x + a*c)^6 + 8*(7*cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^5 + 2*(35*cosh(b*c*x + a*c)^4 + 30*cosh(b*c*x + a*c)^2 + 3)*sinh(b*c*x + a*c)^4 + 6*cosh(b*c*x + a*c)^4 + 8*(7*cosh(b*c*x + a*c)^5 + 10*cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + 4*(7*cosh(b*c*x + a*c)^6 + 15*cosh(b*c*x + a*c)^4 + 9*cosh(b*c*x + a*c)^2 + 1)*sinh(b*c*x + a*c)^2 + 4*cosh(b*c*x + a*c)^2 + 8*(cosh(b*c*x + a*c)^7 + 3*cosh(b*c*x + a*c)^5 + 3*cosh(b*c*x + a*c)^3 + cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*arctan(cosh(b*c*x + a*c) + sinh(b*c*x + a*c)) + (108*cosh(b*c*x + a*c)^8 + 861*cosh(b*c*x + a*c)^6 + 935*cosh(b*c*x + a*c)^4 + 471*cosh(b*c*x + a*c)^2 + 33)*sinh(b*c*x + a*c) + 33*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^8 + 8*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^7 + b*c*sinh(b*c*x + a*c)^8 + 4*b*c*cosh(b*c*x + a*c)^6 + 4*(7*b*c*cosh(b*c*x + a*c)^2 + b*c)*sinh(b*c*x + a*c)^6 + 6*b*c*cosh(b*c*x + a*c)^4 + 8*(7*b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^5 + 2*(35*b*c*cosh(b*c*x + a*c)^4 + 30*b*c*cosh(b*c*x + a*c)^2 + 3*b*c)*sinh(b*c*x + a*c)^4 + 4*b*c*cosh(b*c*x + a*c)^2 + 8*(7*b*c*cosh(b*c*x + a*c)^5 + 10*b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + 4*(7*b*c*cosh(b*c*x + a*c)^6 + 15*b*c*cosh(b*c*x + a*c)^4 + 9*b*c*cosh(b*c*x + a*c)^2 + b*c)*sinh(b*c*x + a*c)^2 + b*c + 8*(b*c*cosh(b*c*x + a*c)^7 + 3*b*c*cosh(b*c*x + a*c)^5 + 3*b*c*cosh(b*c*x + a*c)^3 + b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
235,1,458,0,0.578647," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","\frac{\cosh\left(b c x + a c\right)^{5} + 5 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{4} + \sinh\left(b c x + a c\right)^{5} + 5 \, {\left(2 \, \cosh\left(b c x + a c\right)^{2} + 1\right)} \sinh\left(b c x + a c\right)^{3} + 5 \, \cosh\left(b c x + a c\right)^{3} + 5 \, {\left(2 \, \cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 3 \, {\left(\cosh\left(b c x + a c\right)^{4} + 4 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{3} + \sinh\left(b c x + a c\right)^{4} + 2 \, {\left(3 \, \cosh\left(b c x + a c\right)^{2} + 1\right)} \sinh\left(b c x + a c\right)^{2} + 2 \, \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(\cosh\left(b c x + a c\right)^{3} + \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \arctan\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right)\right) + {\left(5 \, \cosh\left(b c x + a c\right)^{4} + 15 \, \cosh\left(b c x + a c\right)^{2} + 2\right)} \sinh\left(b c x + a c\right) + 2 \, \cosh\left(b c x + a c\right)}{b c \cosh\left(b c x + a c\right)^{4} + 4 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{3} + b c \sinh\left(b c x + a c\right)^{4} + 2 \, b c \cosh\left(b c x + a c\right)^{2} + 2 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{2} + b c\right)} \sinh\left(b c x + a c\right)^{2} + b c + 4 \, {\left(b c \cosh\left(b c x + a c\right)^{3} + b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)}"," ",0,"(cosh(b*c*x + a*c)^5 + 5*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^4 + sinh(b*c*x + a*c)^5 + 5*(2*cosh(b*c*x + a*c)^2 + 1)*sinh(b*c*x + a*c)^3 + 5*cosh(b*c*x + a*c)^3 + 5*(2*cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 3*(cosh(b*c*x + a*c)^4 + 4*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^3 + sinh(b*c*x + a*c)^4 + 2*(3*cosh(b*c*x + a*c)^2 + 1)*sinh(b*c*x + a*c)^2 + 2*cosh(b*c*x + a*c)^2 + 4*(cosh(b*c*x + a*c)^3 + cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*arctan(cosh(b*c*x + a*c) + sinh(b*c*x + a*c)) + (5*cosh(b*c*x + a*c)^4 + 15*cosh(b*c*x + a*c)^2 + 2)*sinh(b*c*x + a*c) + 2*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^4 + 4*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^3 + b*c*sinh(b*c*x + a*c)^4 + 2*b*c*cosh(b*c*x + a*c)^2 + 2*(3*b*c*cosh(b*c*x + a*c)^2 + b*c)*sinh(b*c*x + a*c)^2 + b*c + 4*(b*c*cosh(b*c*x + a*c)^3 + b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
236,1,53,0,0.619011," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right)\right) - \cosh\left(b c x + a c\right) - \sinh\left(b c x + a c\right)}{b c}"," ",0,"-(2*arctan(cosh(b*c*x + a*c) + sinh(b*c*x + a*c)) - cosh(b*c*x + a*c) - sinh(b*c*x + a*c))/(b*c)","A",0
237,1,70,0,0.492815," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","\frac{\cosh\left(b c x + a c\right) - \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) + 1\right) + \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) - 1\right) + \sinh\left(b c x + a c\right)}{b c}"," ",0,"(cosh(b*c*x + a*c) - log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) + 1) + log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) - 1) + sinh(b*c*x + a*c))/(b*c)","A",0
238,1,613,0,0.580585," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(b c x + a c\right)^{5} + 10 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{4} + 2 \, \sinh\left(b c x + a c\right)^{5} + 10 \, {\left(2 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{3} - 10 \, \cosh\left(b c x + a c\right)^{3} + 10 \, {\left(2 \, \cosh\left(b c x + a c\right)^{3} - 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 3 \, {\left(\cosh\left(b c x + a c\right)^{4} + 4 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{3} + \sinh\left(b c x + a c\right)^{4} + 2 \, {\left(3 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{2} - 2 \, \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(\cosh\left(b c x + a c\right)^{3} - \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) + 1\right) + 3 \, {\left(\cosh\left(b c x + a c\right)^{4} + 4 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{3} + \sinh\left(b c x + a c\right)^{4} + 2 \, {\left(3 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{2} - 2 \, \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(\cosh\left(b c x + a c\right)^{3} - \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) - 1\right) + 2 \, {\left(5 \, \cosh\left(b c x + a c\right)^{4} - 15 \, \cosh\left(b c x + a c\right)^{2} + 2\right)} \sinh\left(b c x + a c\right) + 4 \, \cosh\left(b c x + a c\right)}{2 \, {\left(b c \cosh\left(b c x + a c\right)^{4} + 4 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{3} + b c \sinh\left(b c x + a c\right)^{4} - 2 \, b c \cosh\left(b c x + a c\right)^{2} + 2 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)^{2} + b c + 4 \, {\left(b c \cosh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/2*(2*cosh(b*c*x + a*c)^5 + 10*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^4 + 2*sinh(b*c*x + a*c)^5 + 10*(2*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^3 - 10*cosh(b*c*x + a*c)^3 + 10*(2*cosh(b*c*x + a*c)^3 - 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 3*(cosh(b*c*x + a*c)^4 + 4*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^3 + sinh(b*c*x + a*c)^4 + 2*(3*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^2 - 2*cosh(b*c*x + a*c)^2 + 4*(cosh(b*c*x + a*c)^3 - cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) + 1) + 3*(cosh(b*c*x + a*c)^4 + 4*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^3 + sinh(b*c*x + a*c)^4 + 2*(3*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^2 - 2*cosh(b*c*x + a*c)^2 + 4*(cosh(b*c*x + a*c)^3 - cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) - 1) + 2*(5*cosh(b*c*x + a*c)^4 - 15*cosh(b*c*x + a*c)^2 + 2)*sinh(b*c*x + a*c) + 4*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^4 + 4*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^3 + b*c*sinh(b*c*x + a*c)^4 - 2*b*c*cosh(b*c*x + a*c)^2 + 2*(3*b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c)^2 + b*c + 4*(b*c*cosh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
239,1,1617,0,0.932545," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","\frac{24 \, \cosh\left(b c x + a c\right)^{9} + 216 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{8} + 24 \, \sinh\left(b c x + a c\right)^{9} + 6 \, {\left(144 \, \cosh\left(b c x + a c\right)^{2} - 41\right)} \sinh\left(b c x + a c\right)^{7} - 246 \, \cosh\left(b c x + a c\right)^{7} + 42 \, {\left(48 \, \cosh\left(b c x + a c\right)^{3} - 41 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{6} + 2 \, {\left(1512 \, \cosh\left(b c x + a c\right)^{4} - 2583 \, \cosh\left(b c x + a c\right)^{2} + 187\right)} \sinh\left(b c x + a c\right)^{5} + 374 \, \cosh\left(b c x + a c\right)^{5} + 2 \, {\left(1512 \, \cosh\left(b c x + a c\right)^{5} - 4305 \, \cosh\left(b c x + a c\right)^{3} + 935 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{4} + 2 \, {\left(1008 \, \cosh\left(b c x + a c\right)^{6} - 4305 \, \cosh\left(b c x + a c\right)^{4} + 1870 \, \cosh\left(b c x + a c\right)^{2} - 157\right)} \sinh\left(b c x + a c\right)^{3} - 314 \, \cosh\left(b c x + a c\right)^{3} + 2 \, {\left(432 \, \cosh\left(b c x + a c\right)^{7} - 2583 \, \cosh\left(b c x + a c\right)^{5} + 1870 \, \cosh\left(b c x + a c\right)^{3} - 471 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 45 \, {\left(\cosh\left(b c x + a c\right)^{8} + 8 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{7} + \sinh\left(b c x + a c\right)^{8} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{6} - 4 \, \cosh\left(b c x + a c\right)^{6} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{3} - 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{5} + 2 \, {\left(35 \, \cosh\left(b c x + a c\right)^{4} - 30 \, \cosh\left(b c x + a c\right)^{2} + 3\right)} \sinh\left(b c x + a c\right)^{4} + 6 \, \cosh\left(b c x + a c\right)^{4} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{5} - 10 \, \cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{6} - 15 \, \cosh\left(b c x + a c\right)^{4} + 9 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{2} - 4 \, \cosh\left(b c x + a c\right)^{2} + 8 \, {\left(\cosh\left(b c x + a c\right)^{7} - 3 \, \cosh\left(b c x + a c\right)^{5} + 3 \, \cosh\left(b c x + a c\right)^{3} - \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) + 1\right) + 45 \, {\left(\cosh\left(b c x + a c\right)^{8} + 8 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{7} + \sinh\left(b c x + a c\right)^{8} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{6} - 4 \, \cosh\left(b c x + a c\right)^{6} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{3} - 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{5} + 2 \, {\left(35 \, \cosh\left(b c x + a c\right)^{4} - 30 \, \cosh\left(b c x + a c\right)^{2} + 3\right)} \sinh\left(b c x + a c\right)^{4} + 6 \, \cosh\left(b c x + a c\right)^{4} + 8 \, {\left(7 \, \cosh\left(b c x + a c\right)^{5} - 10 \, \cosh\left(b c x + a c\right)^{3} + 3 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + 4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{6} - 15 \, \cosh\left(b c x + a c\right)^{4} + 9 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right)^{2} - 4 \, \cosh\left(b c x + a c\right)^{2} + 8 \, {\left(\cosh\left(b c x + a c\right)^{7} - 3 \, \cosh\left(b c x + a c\right)^{5} + 3 \, \cosh\left(b c x + a c\right)^{3} - \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right) + 1\right)} \log\left(\cosh\left(b c x + a c\right) + \sinh\left(b c x + a c\right) - 1\right) + 2 \, {\left(108 \, \cosh\left(b c x + a c\right)^{8} - 861 \, \cosh\left(b c x + a c\right)^{6} + 935 \, \cosh\left(b c x + a c\right)^{4} - 471 \, \cosh\left(b c x + a c\right)^{2} + 33\right)} \sinh\left(b c x + a c\right) + 66 \, \cosh\left(b c x + a c\right)}{24 \, {\left(b c \cosh\left(b c x + a c\right)^{8} + 8 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{7} + b c \sinh\left(b c x + a c\right)^{8} - 4 \, b c \cosh\left(b c x + a c\right)^{6} + 4 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)^{6} + 6 \, b c \cosh\left(b c x + a c\right)^{4} + 8 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{3} - 3 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{5} + 2 \, {\left(35 \, b c \cosh\left(b c x + a c\right)^{4} - 30 \, b c \cosh\left(b c x + a c\right)^{2} + 3 \, b c\right)} \sinh\left(b c x + a c\right)^{4} - 4 \, b c \cosh\left(b c x + a c\right)^{2} + 8 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{5} - 10 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + 4 \, {\left(7 \, b c \cosh\left(b c x + a c\right)^{6} - 15 \, b c \cosh\left(b c x + a c\right)^{4} + 9 \, b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)^{2} + b c + 8 \, {\left(b c \cosh\left(b c x + a c\right)^{7} - 3 \, b c \cosh\left(b c x + a c\right)^{5} + 3 \, b c \cosh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/24*(24*cosh(b*c*x + a*c)^9 + 216*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^8 + 24*sinh(b*c*x + a*c)^9 + 6*(144*cosh(b*c*x + a*c)^2 - 41)*sinh(b*c*x + a*c)^7 - 246*cosh(b*c*x + a*c)^7 + 42*(48*cosh(b*c*x + a*c)^3 - 41*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^6 + 2*(1512*cosh(b*c*x + a*c)^4 - 2583*cosh(b*c*x + a*c)^2 + 187)*sinh(b*c*x + a*c)^5 + 374*cosh(b*c*x + a*c)^5 + 2*(1512*cosh(b*c*x + a*c)^5 - 4305*cosh(b*c*x + a*c)^3 + 935*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^4 + 2*(1008*cosh(b*c*x + a*c)^6 - 4305*cosh(b*c*x + a*c)^4 + 1870*cosh(b*c*x + a*c)^2 - 157)*sinh(b*c*x + a*c)^3 - 314*cosh(b*c*x + a*c)^3 + 2*(432*cosh(b*c*x + a*c)^7 - 2583*cosh(b*c*x + a*c)^5 + 1870*cosh(b*c*x + a*c)^3 - 471*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 45*(cosh(b*c*x + a*c)^8 + 8*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^7 + sinh(b*c*x + a*c)^8 + 4*(7*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^6 - 4*cosh(b*c*x + a*c)^6 + 8*(7*cosh(b*c*x + a*c)^3 - 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^5 + 2*(35*cosh(b*c*x + a*c)^4 - 30*cosh(b*c*x + a*c)^2 + 3)*sinh(b*c*x + a*c)^4 + 6*cosh(b*c*x + a*c)^4 + 8*(7*cosh(b*c*x + a*c)^5 - 10*cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + 4*(7*cosh(b*c*x + a*c)^6 - 15*cosh(b*c*x + a*c)^4 + 9*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^2 - 4*cosh(b*c*x + a*c)^2 + 8*(cosh(b*c*x + a*c)^7 - 3*cosh(b*c*x + a*c)^5 + 3*cosh(b*c*x + a*c)^3 - cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) + 1) + 45*(cosh(b*c*x + a*c)^8 + 8*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^7 + sinh(b*c*x + a*c)^8 + 4*(7*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^6 - 4*cosh(b*c*x + a*c)^6 + 8*(7*cosh(b*c*x + a*c)^3 - 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^5 + 2*(35*cosh(b*c*x + a*c)^4 - 30*cosh(b*c*x + a*c)^2 + 3)*sinh(b*c*x + a*c)^4 + 6*cosh(b*c*x + a*c)^4 + 8*(7*cosh(b*c*x + a*c)^5 - 10*cosh(b*c*x + a*c)^3 + 3*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + 4*(7*cosh(b*c*x + a*c)^6 - 15*cosh(b*c*x + a*c)^4 + 9*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c)^2 - 4*cosh(b*c*x + a*c)^2 + 8*(cosh(b*c*x + a*c)^7 - 3*cosh(b*c*x + a*c)^5 + 3*cosh(b*c*x + a*c)^3 - cosh(b*c*x + a*c))*sinh(b*c*x + a*c) + 1)*log(cosh(b*c*x + a*c) + sinh(b*c*x + a*c) - 1) + 2*(108*cosh(b*c*x + a*c)^8 - 861*cosh(b*c*x + a*c)^6 + 935*cosh(b*c*x + a*c)^4 - 471*cosh(b*c*x + a*c)^2 + 33)*sinh(b*c*x + a*c) + 66*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^8 + 8*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^7 + b*c*sinh(b*c*x + a*c)^8 - 4*b*c*cosh(b*c*x + a*c)^6 + 4*(7*b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c)^6 + 6*b*c*cosh(b*c*x + a*c)^4 + 8*(7*b*c*cosh(b*c*x + a*c)^3 - 3*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^5 + 2*(35*b*c*cosh(b*c*x + a*c)^4 - 30*b*c*cosh(b*c*x + a*c)^2 + 3*b*c)*sinh(b*c*x + a*c)^4 - 4*b*c*cosh(b*c*x + a*c)^2 + 8*(7*b*c*cosh(b*c*x + a*c)^5 - 10*b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + 4*(7*b*c*cosh(b*c*x + a*c)^6 - 15*b*c*cosh(b*c*x + a*c)^4 + 9*b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c)^2 + b*c + 8*(b*c*cosh(b*c*x + a*c)^7 - 3*b*c*cosh(b*c*x + a*c)^5 + 3*b*c*cosh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
240,1,296,0,0.707508," ","integrate(sin(tanh(b*x+a))^3,x, algorithm=""fricas"")","\frac{\operatorname{Ci}\left(\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(3\right) + \operatorname{Ci}\left(-\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(3\right) + \operatorname{Ci}\left(\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(3\right) + \operatorname{Ci}\left(-\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(3\right) - 3 \, \operatorname{Ci}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) - 3 \, \operatorname{Ci}\left(-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) - 3 \, \operatorname{Ci}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) - 3 \, \operatorname{Ci}\left(-\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) - 2 \, \cos\left(3\right) \operatorname{Si}\left(\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 6 \, \cos\left(1\right) \operatorname{Si}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \cos\left(3\right) \operatorname{Si}\left(\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 6 \, \cos\left(1\right) \operatorname{Si}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{16 \, b}"," ",0,"1/16*(cos_integral(6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(3) + cos_integral(-6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(3) + cos_integral(6/(e^(2*b*x + 2*a) + 1))*sin(3) + cos_integral(-6/(e^(2*b*x + 2*a) + 1))*sin(3) - 3*cos_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(1) - 3*cos_integral(-2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(1) - 3*cos_integral(2/(e^(2*b*x + 2*a) + 1))*sin(1) - 3*cos_integral(-2/(e^(2*b*x + 2*a) + 1))*sin(1) - 2*cos(3)*sin_integral(6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + 6*cos(1)*sin_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - 2*cos(3)*sin_integral(6/(e^(2*b*x + 2*a) + 1)) + 6*cos(1)*sin_integral(2/(e^(2*b*x + 2*a) + 1)))/b","B",0
241,1,155,0,0.544872," ","integrate(sin(tanh(b*x+a))^2,x, algorithm=""fricas"")","\frac{4 \, b x - \cos\left(2\right) \operatorname{Ci}\left(\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(2\right) \operatorname{Ci}\left(-\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + \cos\left(2\right) \operatorname{Ci}\left(\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + \cos\left(2\right) \operatorname{Ci}\left(-\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \sin\left(2\right) \operatorname{Si}\left(\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 2 \, \sin\left(2\right) \operatorname{Si}\left(\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{8 \, b}"," ",0,"1/8*(4*b*x - cos(2)*cos_integral(4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - cos(2)*cos_integral(-4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + cos(2)*cos_integral(4/(e^(2*b*x + 2*a) + 1)) + cos(2)*cos_integral(-4/(e^(2*b*x + 2*a) + 1)) - 2*sin(2)*sin_integral(4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + 2*sin(2)*sin_integral(4/(e^(2*b*x + 2*a) + 1)))/b","A",0
242,1,149,0,0.979169," ","integrate(sin(tanh(b*x+a)),x, algorithm=""fricas"")","-\frac{\operatorname{Ci}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) + \operatorname{Ci}\left(-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) + \operatorname{Ci}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) + \operatorname{Ci}\left(-\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) \sin\left(1\right) - 2 \, \cos\left(1\right) \operatorname{Si}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \cos\left(1\right) \operatorname{Si}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{4 \, b}"," ",0,"-1/4*(cos_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(1) + cos_integral(-2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1))*sin(1) + cos_integral(2/(e^(2*b*x + 2*a) + 1))*sin(1) + cos_integral(-2/(e^(2*b*x + 2*a) + 1))*sin(1) - 2*cos(1)*sin_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - 2*cos(1)*sin_integral(2/(e^(2*b*x + 2*a) + 1)))/b","B",0
243,0,0,0,0.619577," ","integrate(csc(tanh(b*x+a)),x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(\tanh\left(b x + a\right)\right), x\right)"," ",0,"integral(csc(tanh(b*x + a)), x)","F",0
244,1,298,0,0.594232," ","integrate(cos(tanh(b*x+a))^3,x, algorithm=""fricas"")","\frac{\cos\left(3\right) \operatorname{Ci}\left(\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 3 \, \cos\left(1\right) \operatorname{Ci}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 3 \, \cos\left(1\right) \operatorname{Ci}\left(-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + \cos\left(3\right) \operatorname{Ci}\left(-\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(3\right) \operatorname{Ci}\left(\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 3 \, \cos\left(1\right) \operatorname{Ci}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 3 \, \cos\left(1\right) \operatorname{Ci}\left(-\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(3\right) \operatorname{Ci}\left(-\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 2 \, \sin\left(3\right) \operatorname{Si}\left(\frac{6 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 6 \, \sin\left(1\right) \operatorname{Si}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \sin\left(3\right) \operatorname{Si}\left(\frac{6}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 6 \, \sin\left(1\right) \operatorname{Si}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{16 \, b}"," ",0,"1/16*(cos(3)*cos_integral(6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + 3*cos(1)*cos_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + 3*cos(1)*cos_integral(-2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + cos(3)*cos_integral(-6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - cos(3)*cos_integral(6/(e^(2*b*x + 2*a) + 1)) - 3*cos(1)*cos_integral(2/(e^(2*b*x + 2*a) + 1)) - 3*cos(1)*cos_integral(-2/(e^(2*b*x + 2*a) + 1)) - cos(3)*cos_integral(-6/(e^(2*b*x + 2*a) + 1)) + 2*sin(3)*sin_integral(6*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + 6*sin(1)*sin_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - 2*sin(3)*sin_integral(6/(e^(2*b*x + 2*a) + 1)) - 6*sin(1)*sin_integral(2/(e^(2*b*x + 2*a) + 1)))/b","B",0
245,1,155,0,1.440959," ","integrate(cos(tanh(b*x+a))^2,x, algorithm=""fricas"")","\frac{4 \, b x + \cos\left(2\right) \operatorname{Ci}\left(\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + \cos\left(2\right) \operatorname{Ci}\left(-\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(2\right) \operatorname{Ci}\left(\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(2\right) \operatorname{Ci}\left(-\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 2 \, \sin\left(2\right) \operatorname{Si}\left(\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \sin\left(2\right) \operatorname{Si}\left(\frac{4}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{8 \, b}"," ",0,"1/8*(4*b*x + cos(2)*cos_integral(4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + cos(2)*cos_integral(-4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - cos(2)*cos_integral(4/(e^(2*b*x + 2*a) + 1)) - cos(2)*cos_integral(-4/(e^(2*b*x + 2*a) + 1)) + 2*sin(2)*sin_integral(4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - 2*sin(2)*sin_integral(4/(e^(2*b*x + 2*a) + 1)))/b","A",0
246,1,151,0,0.520813," ","integrate(cos(tanh(b*x+a)),x, algorithm=""fricas"")","\frac{\cos\left(1\right) \operatorname{Ci}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + \cos\left(1\right) \operatorname{Ci}\left(-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(1\right) \operatorname{Ci}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - \cos\left(1\right) \operatorname{Ci}\left(-\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) + 2 \, \sin\left(1\right) \operatorname{Si}\left(\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right) - 2 \, \sin\left(1\right) \operatorname{Si}\left(\frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}\right)}{4 \, b}"," ",0,"1/4*(cos(1)*cos_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) + cos(1)*cos_integral(-2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - cos(1)*cos_integral(2/(e^(2*b*x + 2*a) + 1)) - cos(1)*cos_integral(-2/(e^(2*b*x + 2*a) + 1)) + 2*sin(1)*sin_integral(2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)) - 2*sin(1)*sin_integral(2/(e^(2*b*x + 2*a) + 1)))/b","B",0
247,0,0,0,0.503881," ","integrate(sec(tanh(b*x+a)),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(\tanh\left(b x + a\right)\right), x\right)"," ",0,"integral(sec(tanh(b*x + a)), x)","F",0
