1,1,396,0,1.975917," ","integrate((d*x+c)^3*csch(b*x+a),x, algorithm=""fricas"")","\frac{6 \, d^{3} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, d^{3} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 6 \, {\left(b d^{3} x + b c d^{2}\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(b d^{3} x + b c d^{2}\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4}}"," ",0,"(6*d^3*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 6*d^3*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) + 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 6*(b*d^3*x + b*c*d^2)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(b*d^3*x + b*c*d^2)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/b^4","C",0
2,1,242,0,2.236703," ","integrate((d*x+c)^2*csch(b*x+a),x, algorithm=""fricas"")","-\frac{2 \, d^{2} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, d^{2} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 2 \, {\left(b d^{2} x + b c d\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(b d^{2} x + b c d\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) - {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)}{b^{3}}"," ",0,"-(2*d^2*polylog(3, cosh(b*x + a) + sinh(b*x + a)) - 2*d^2*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) - 2*(b*d^2*x + b*c*d)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 2*(b*d^2*x + b*c*d)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) - (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/b^3","C",0
3,1,119,0,0.720011," ","integrate((d*x+c)*csch(b*x+a),x, algorithm=""fricas"")","\frac{d {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - d {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b d x + b c\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(b c - a d\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b d x + a d\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)}{b^{2}}"," ",0,"(d*dilog(cosh(b*x + a) + sinh(b*x + a)) - d*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b*d*x + b*c)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (b*c - a*d)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b*d*x + a*d)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/b^2","B",0
4,0,0,0,2.930549," ","integrate(csch(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(csch(b*x + a)/x, x)","F",0
5,1,1159,0,1.443633," ","integrate((d*x+c)^3*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, b^{3} c^{3} - 6 \, a b^{2} c^{2} d + 6 \, a^{2} b c d^{2} - 2 \, a^{3} d^{3} + 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} \cosh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} \sinh\left(b x + a\right)^{2} + 6 \, {\left(b d^{3} x + b c d^{2} - {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b d^{3} x + b c d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(b d^{3} x + b c d^{2} - {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b d^{3} x + b c d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3} - {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + 2 \, a b c d^{2} - a^{2} d^{3} - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + 2 \, a b c d^{2} - a^{2} d^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + 2 \, a b c d^{2} - a^{2} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + 2 \, a b c d^{2} - a^{2} d^{3}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(d^{3} \cosh\left(b x + a\right)^{2} + 2 \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d^{3} \sinh\left(b x + a\right)^{2} - d^{3}\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(d^{3} \cosh\left(b x + a\right)^{2} + 2 \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d^{3} \sinh\left(b x + a\right)^{2} - d^{3}\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} - b^{4}}"," ",0,"-(2*b^3*c^3 - 6*a*b^2*c^2*d + 6*a^2*b*c*d^2 - 2*a^3*d^3 + 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3)*cosh(b*x + a)^2 + 4*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3)*cosh(b*x + a)*sinh(b*x + a) + 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + a^3*d^3)*sinh(b*x + a)^2 + 6*(b*d^3*x + b*c*d^2 - (b*d^3*x + b*c*d^2)*cosh(b*x + a)^2 - 2*(b*d^3*x + b*c*d^2)*cosh(b*x + a)*sinh(b*x + a) - (b*d^3*x + b*c*d^2)*sinh(b*x + a)^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) + 6*(b*d^3*x + b*c*d^2 - (b*d^3*x + b*c*d^2)*cosh(b*x + a)^2 - 2*(b*d^3*x + b*c*d^2)*cosh(b*x + a)*sinh(b*x + a) - (b*d^3*x + b*c*d^2)*sinh(b*x + a)^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*cosh(b*x + a)^2 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*cosh(b*x + a)*sinh(b*x + a) - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3 - (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*cosh(b*x + a)^2 - 2*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*cosh(b*x + a)*sinh(b*x + a) - (b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + 2*a*b*c*d^2 - a^2*d^3 - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + 2*a*b*c*d^2 - a^2*d^3)*cosh(b*x + a)^2 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + 2*a*b*c*d^2 - a^2*d^3)*cosh(b*x + a)*sinh(b*x + a) - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + 2*a*b*c*d^2 - a^2*d^3)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(d^3*cosh(b*x + a)^2 + 2*d^3*cosh(b*x + a)*sinh(b*x + a) + d^3*sinh(b*x + a)^2 - d^3)*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(d^3*cosh(b*x + a)^2 + 2*d^3*cosh(b*x + a)*sinh(b*x + a) + d^3*sinh(b*x + a)^2 - d^3)*polylog(3, -cosh(b*x + a) - sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 - b^4)","C",0
6,1,623,0,2.291180," ","integrate((d*x+c)^2*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2} + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \sinh\left(b x + a\right)^{2} - {\left(d^{2} \cosh\left(b x + a\right)^{2} + 2 \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d^{2} \sinh\left(b x + a\right)^{2} - d^{2}\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(d^{2} \cosh\left(b x + a\right)^{2} + 2 \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d^{2} \sinh\left(b x + a\right)^{2} - d^{2}\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + {\left(b d^{2} x + b c d - {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b d^{2} x + b c d\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(b c d - a d^{2} - {\left(b c d - a d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b c d - a d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b c d - a d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b d^{2} x + a d^{2} - {\left(b d^{2} x + a d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{2} x + a d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right) - {\left(b d^{2} x + a d^{2}\right)} \sinh\left(b x + a\right)^{2}\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right)\right)}}{b^{3} \cosh\left(b x + a\right)^{2} + 2 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{3} \sinh\left(b x + a\right)^{2} - b^{3}}"," ",0,"-2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2 + (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)^2 + 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)*sinh(b*x + a) + (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*sinh(b*x + a)^2 - (d^2*cosh(b*x + a)^2 + 2*d^2*cosh(b*x + a)*sinh(b*x + a) + d^2*sinh(b*x + a)^2 - d^2)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (d^2*cosh(b*x + a)^2 + 2*d^2*cosh(b*x + a)*sinh(b*x + a) + d^2*sinh(b*x + a)^2 - d^2)*dilog(-cosh(b*x + a) - sinh(b*x + a)) + (b*d^2*x + b*c*d - (b*d^2*x + b*c*d)*cosh(b*x + a)^2 - 2*(b*d^2*x + b*c*d)*cosh(b*x + a)*sinh(b*x + a) - (b*d^2*x + b*c*d)*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (b*c*d - a*d^2 - (b*c*d - a*d^2)*cosh(b*x + a)^2 - 2*(b*c*d - a*d^2)*cosh(b*x + a)*sinh(b*x + a) - (b*c*d - a*d^2)*sinh(b*x + a)^2)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b*d^2*x + a*d^2 - (b*d^2*x + a*d^2)*cosh(b*x + a)^2 - 2*(b*d^2*x + a*d^2)*cosh(b*x + a)*sinh(b*x + a) - (b*d^2*x + a*d^2)*sinh(b*x + a)^2)*log(-cosh(b*x + a) - sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 - b^3)","B",0
7,1,166,0,0.848678," ","integrate((d*x+c)*csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, b d x \cosh\left(b x + a\right)^{2} + 4 \, b d x \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 2 \, b d x \sinh\left(b x + a\right)^{2} + 2 \, b c - {\left(d \cosh\left(b x + a\right)^{2} + 2 \, d \cosh\left(b x + a\right) \sinh\left(b x + a\right) + d \sinh\left(b x + a\right)^{2} - d\right)} \log\left(\frac{2 \, \sinh\left(b x + a\right)}{\cosh\left(b x + a\right) - \sinh\left(b x + a\right)}\right)}{b^{2} \cosh\left(b x + a\right)^{2} + 2 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{2} \sinh\left(b x + a\right)^{2} - b^{2}}"," ",0,"-(2*b*d*x*cosh(b*x + a)^2 + 4*b*d*x*cosh(b*x + a)*sinh(b*x + a) + 2*b*d*x*sinh(b*x + a)^2 + 2*b*c - (d*cosh(b*x + a)^2 + 2*d*cosh(b*x + a)*sinh(b*x + a) + d*sinh(b*x + a)^2 - d)*log(2*sinh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 - b^2)","B",0
8,0,0,0,1.393363," ","integrate(csch(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^2/x, x)","F",0
9,1,4008,0,2.216849," ","integrate((d*x+c)^3*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} + 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} + b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} d + 2 \, b^{2} c d^{2}\right)} x\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} + 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} + b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} d + 2 \, b^{2} c d^{2}\right)} x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} + 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} + b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} d + 2 \, b^{2} c d^{2}\right)} x\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} - 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} - b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b^{2} c d^{2}\right)} x\right)} \cosh\left(b x + a\right) + 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d + {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \sinh\left(b x + a\right)^{4} - 2 \, d^{3} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3} - 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d + {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \sinh\left(b x + a\right)^{4} - 2 \, d^{3} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3} - 3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{4} - 6 \, b c d^{2} - 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} - 3 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x + 4 \, {\left({\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + b^{3} c^{3} - 6 \, b c d^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \sinh\left(b x + a\right)^{4} - {\left(a^{3} - 6 \, a\right)} d^{3} - 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3} - 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, {\left(a^{2} - 2\right)} b c d^{2} - {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{4} + {\left(a^{3} - 6 \, a\right)} d^{3} - 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} - 3 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x + 4 \, {\left({\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, a b^{2} c^{2} d - 3 \, a^{2} b c d^{2} + {\left(a^{3} - 6 \, a\right)} d^{3} + 3 \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 6 \, {\left(d^{3} \cosh\left(b x + a\right)^{4} + 4 \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d^{3} \sinh\left(b x + a\right)^{4} - 2 \, d^{3} \cosh\left(b x + a\right)^{2} + d^{3} + 2 \, {\left(3 \, d^{3} \cosh\left(b x + a\right)^{2} - d^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(d^{3} \cosh\left(b x + a\right)^{3} - d^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 6 \, {\left(d^{3} \cosh\left(b x + a\right)^{4} + 4 \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d^{3} \sinh\left(b x + a\right)^{4} - 2 \, d^{3} \cosh\left(b x + a\right)^{2} + d^{3} + 2 \, {\left(3 \, d^{3} \cosh\left(b x + a\right)^{2} - d^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(d^{3} \cosh\left(b x + a\right)^{3} - d^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - 6 \, {\left(b d^{3} x + {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d^{3} x + b c d^{2}\right)} \sinh\left(b x + a\right)^{4} + b c d^{2} - 2 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{3} x + b c d^{2} - 3 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 6 \, {\left(b d^{3} x + {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d^{3} x + b c d^{2}\right)} \sinh\left(b x + a\right)^{4} + b c d^{2} - 2 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{3} x + b c d^{2} - 3 \, {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b d^{3} x + b c d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} - 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} - b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} d^{3} x^{3} + b^{3} c^{3} + 3 \, b^{2} c^{2} d + 3 \, {\left(b^{3} c d^{2} + b^{2} d^{3}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} d + 2 \, b^{2} c d^{2}\right)} x\right)} \cosh\left(b x + a\right)^{2} + 3 \, {\left(b^{3} c^{2} d - 2 \, b^{2} c d^{2}\right)} x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{4} \cosh\left(b x + a\right)^{4} + 4 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{4} \sinh\left(b x + a\right)^{4} - 2 \, b^{4} \cosh\left(b x + a\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(b x + a\right)^{2} - b^{4}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{4} \cosh\left(b x + a\right)^{3} - b^{4} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^3*d^3*x^3 + b^3*c^3 + 3*b^2*c^2*d + 3*(b^3*c*d^2 + b^2*d^3)*x^2 + 3*(b^3*c^2*d + 2*b^2*c*d^2)*x)*cosh(b*x + a)^3 + 6*(b^3*d^3*x^3 + b^3*c^3 + 3*b^2*c^2*d + 3*(b^3*c*d^2 + b^2*d^3)*x^2 + 3*(b^3*c^2*d + 2*b^2*c*d^2)*x)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^3*d^3*x^3 + b^3*c^3 + 3*b^2*c^2*d + 3*(b^3*c*d^2 + b^2*d^3)*x^2 + 3*(b^3*c^2*d + 2*b^2*c*d^2)*x)*sinh(b*x + a)^3 + 2*(b^3*d^3*x^3 + b^3*c^3 - 3*b^2*c^2*d + 3*(b^3*c*d^2 - b^2*d^3)*x^2 + 3*(b^3*c^2*d - 2*b^2*c*d^2)*x)*cosh(b*x + a) + 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d + (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^4 + 4*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*sinh(b*x + a)^4 - 2*d^3 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^2 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3 - 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^3 - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d + (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^4 + 4*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*sinh(b*x + a)^4 - 2*d^3 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^2 - 2*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3 - 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a)^3 - (b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^4 + 4*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^4 - 6*b*c*d^2 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 - 3*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^2 + 3*(b^3*c^2*d - 2*b*d^3)*x + 4*((b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^3 - (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + b^3*c^3 - 6*b*c*d^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a)^4 + 4*(b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*sinh(b*x + a)^4 - (a^3 - 6*a)*d^3 - 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a)^2 - 2*(b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3 - 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a)^3 - (b^3*c^3 - 3*a*b^2*c^2*d + 3*(a^2 - 2)*b*c*d^2 - (a^3 - 6*a)*d^3)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^4 + 4*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^4 + (a^3 - 6*a)*d^3 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 - 2*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 - 3*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 + 3*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^2 + 3*(b^3*c^2*d - 2*b*d^3)*x + 4*((b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^3 - (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2 + (a^3 - 6*a)*d^3 + 3*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 6*(d^3*cosh(b*x + a)^4 + 4*d^3*cosh(b*x + a)*sinh(b*x + a)^3 + d^3*sinh(b*x + a)^4 - 2*d^3*cosh(b*x + a)^2 + d^3 + 2*(3*d^3*cosh(b*x + a)^2 - d^3)*sinh(b*x + a)^2 + 4*(d^3*cosh(b*x + a)^3 - d^3*cosh(b*x + a))*sinh(b*x + a))*polylog(4, cosh(b*x + a) + sinh(b*x + a)) - 6*(d^3*cosh(b*x + a)^4 + 4*d^3*cosh(b*x + a)*sinh(b*x + a)^3 + d^3*sinh(b*x + a)^4 - 2*d^3*cosh(b*x + a)^2 + d^3 + 2*(3*d^3*cosh(b*x + a)^2 - d^3)*sinh(b*x + a)^2 + 4*(d^3*cosh(b*x + a)^3 - d^3*cosh(b*x + a))*sinh(b*x + a))*polylog(4, -cosh(b*x + a) - sinh(b*x + a)) - 6*(b*d^3*x + (b*d^3*x + b*c*d^2)*cosh(b*x + a)^4 + 4*(b*d^3*x + b*c*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d^3*x + b*c*d^2)*sinh(b*x + a)^4 + b*c*d^2 - 2*(b*d^3*x + b*c*d^2)*cosh(b*x + a)^2 - 2*(b*d^3*x + b*c*d^2 - 3*(b*d^3*x + b*c*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b*d^3*x + b*c*d^2)*cosh(b*x + a)^3 - (b*d^3*x + b*c*d^2)*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 6*(b*d^3*x + (b*d^3*x + b*c*d^2)*cosh(b*x + a)^4 + 4*(b*d^3*x + b*c*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d^3*x + b*c*d^2)*sinh(b*x + a)^4 + b*c*d^2 - 2*(b*d^3*x + b*c*d^2)*cosh(b*x + a)^2 - 2*(b*d^3*x + b*c*d^2 - 3*(b*d^3*x + b*c*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b*d^3*x + b*c*d^2)*cosh(b*x + a)^3 - (b*d^3*x + b*c*d^2)*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(b^3*d^3*x^3 + b^3*c^3 - 3*b^2*c^2*d + 3*(b^3*c*d^2 - b^2*d^3)*x^2 + 3*(b^3*d^3*x^3 + b^3*c^3 + 3*b^2*c^2*d + 3*(b^3*c*d^2 + b^2*d^3)*x^2 + 3*(b^3*c^2*d + 2*b^2*c*d^2)*x)*cosh(b*x + a)^2 + 3*(b^3*c^2*d - 2*b^2*c*d^2)*x)*sinh(b*x + a))/(b^4*cosh(b*x + a)^4 + 4*b^4*cosh(b*x + a)*sinh(b*x + a)^3 + b^4*sinh(b*x + a)^4 - 2*b^4*cosh(b*x + a)^2 + b^4 + 2*(3*b^4*cosh(b*x + a)^2 - b^4)*sinh(b*x + a)^2 + 4*(b^4*cosh(b*x + a)^3 - b^4*cosh(b*x + a))*sinh(b*x + a))","C",0
10,1,2218,0,0.532804," ","integrate((d*x+c)^2*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} + 2 \, b c d + 2 \, {\left(b^{2} c d + b d^{2}\right)} x\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} + 2 \, b c d + 2 \, {\left(b^{2} c d + b d^{2}\right)} x\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} + 2 \, b c d + 2 \, {\left(b^{2} c d + b d^{2}\right)} x\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} - 2 \, b c d + 2 \, {\left(b^{2} c d - b d^{2}\right)} x\right)} \cosh\left(b x + a\right) + 2 \, {\left({\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d^{2} x + b c d\right)} \sinh\left(b x + a\right)^{4} + b d^{2} x + b c d - 2 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{2} x + b c d - 3 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{3} - {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - 2 \, {\left({\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d^{2} x + b c d\right)} \sinh\left(b x + a\right)^{4} + b d^{2} x + b c d - 2 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d^{2} x + b c d - 3 \, {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)^{3} - {\left(b d^{2} x + b c d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} c^{2} - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, d^{2}\right)} \sinh\left(b x + a\right)^{2} - 2 \, d^{2} + 4 \, {\left({\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left({\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \sinh\left(b x + a\right)^{4} + b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2} - 3 \, {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} c^{2} - 2 \, a b c d + {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \sinh\left(b x + a\right)^{4} + 2 \, a b c d - a^{2} d^{2} - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2} - 3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left({\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{3} - {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + 2 \, a b c d - a^{2} d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) - 2 \, {\left(d^{2} \cosh\left(b x + a\right)^{4} + 4 \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d^{2} \sinh\left(b x + a\right)^{4} - 2 \, d^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, d^{2} \cosh\left(b x + a\right)^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2} + d^{2} + 4 \, {\left(d^{2} \cosh\left(b x + a\right)^{3} - d^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, \cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) + 2 \, {\left(d^{2} \cosh\left(b x + a\right)^{4} + 4 \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d^{2} \sinh\left(b x + a\right)^{4} - 2 \, d^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, d^{2} \cosh\left(b x + a\right)^{2} - d^{2}\right)} \sinh\left(b x + a\right)^{2} + d^{2} + 4 \, {\left(d^{2} \cosh\left(b x + a\right)^{3} - d^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) + 2 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} - 2 \, b c d + 3 \, {\left(b^{2} d^{2} x^{2} + b^{2} c^{2} + 2 \, b c d + 2 \, {\left(b^{2} c d + b d^{2}\right)} x\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(b^{2} c d - b d^{2}\right)} x\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{3} \cosh\left(b x + a\right)^{4} + 4 \, b^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{3} \sinh\left(b x + a\right)^{4} - 2 \, b^{3} \cosh\left(b x + a\right)^{2} + b^{3} + 2 \, {\left(3 \, b^{3} \cosh\left(b x + a\right)^{2} - b^{3}\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b^{3} \cosh\left(b x + a\right)^{3} - b^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b^2*d^2*x^2 + b^2*c^2 + 2*b*c*d + 2*(b^2*c*d + b*d^2)*x)*cosh(b*x + a)^3 + 6*(b^2*d^2*x^2 + b^2*c^2 + 2*b*c*d + 2*(b^2*c*d + b*d^2)*x)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b^2*d^2*x^2 + b^2*c^2 + 2*b*c*d + 2*(b^2*c*d + b*d^2)*x)*sinh(b*x + a)^3 + 2*(b^2*d^2*x^2 + b^2*c^2 - 2*b*c*d + 2*(b^2*c*d - b*d^2)*x)*cosh(b*x + a) + 2*((b*d^2*x + b*c*d)*cosh(b*x + a)^4 + 4*(b*d^2*x + b*c*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d^2*x + b*c*d)*sinh(b*x + a)^4 + b*d^2*x + b*c*d - 2*(b*d^2*x + b*c*d)*cosh(b*x + a)^2 - 2*(b*d^2*x + b*c*d - 3*(b*d^2*x + b*c*d)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b*d^2*x + b*c*d)*cosh(b*x + a)^3 - (b*d^2*x + b*c*d)*cosh(b*x + a))*sinh(b*x + a))*dilog(cosh(b*x + a) + sinh(b*x + a)) - 2*((b*d^2*x + b*c*d)*cosh(b*x + a)^4 + 4*(b*d^2*x + b*c*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d^2*x + b*c*d)*sinh(b*x + a)^4 + b*d^2*x + b*c*d - 2*(b*d^2*x + b*c*d)*cosh(b*x + a)^2 - 2*(b*d^2*x + b*c*d - 3*(b*d^2*x + b*c*d)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b*d^2*x + b*c*d)*cosh(b*x + a)^3 - (b*d^2*x + b*c*d)*cosh(b*x + a))*sinh(b*x + a))*dilog(-cosh(b*x + a) - sinh(b*x + a)) - (b^2*d^2*x^2 + 2*b^2*c*d*x + (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a)^4 + 4*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*sinh(b*x + a)^4 + b^2*c^2 - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a)^2 - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 3*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a)^2 - 2*d^2)*sinh(b*x + a)^2 - 2*d^2 + 4*((b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a)^3 - (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + ((b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a)^4 + 4*(b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*sinh(b*x + a)^4 + b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2 - 2*(b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a)^2 - 2*(b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2 - 3*(b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a)^3 - (b^2*c^2 - 2*a*b*c*d + (a^2 - 2)*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + (b^2*d^2*x^2 + 2*b^2*c*d*x + (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)^4 + 4*(b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*sinh(b*x + a)^4 + 2*a*b*c*d - a^2*d^2 - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)^2 - 2*(b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2 - 3*(b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + 4*((b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a)^3 - (b^2*d^2*x^2 + 2*b^2*c*d*x + 2*a*b*c*d - a^2*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) - 2*(d^2*cosh(b*x + a)^4 + 4*d^2*cosh(b*x + a)*sinh(b*x + a)^3 + d^2*sinh(b*x + a)^4 - 2*d^2*cosh(b*x + a)^2 + 2*(3*d^2*cosh(b*x + a)^2 - d^2)*sinh(b*x + a)^2 + d^2 + 4*(d^2*cosh(b*x + a)^3 - d^2*cosh(b*x + a))*sinh(b*x + a))*polylog(3, cosh(b*x + a) + sinh(b*x + a)) + 2*(d^2*cosh(b*x + a)^4 + 4*d^2*cosh(b*x + a)*sinh(b*x + a)^3 + d^2*sinh(b*x + a)^4 - 2*d^2*cosh(b*x + a)^2 + 2*(3*d^2*cosh(b*x + a)^2 - d^2)*sinh(b*x + a)^2 + d^2 + 4*(d^2*cosh(b*x + a)^3 - d^2*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -cosh(b*x + a) - sinh(b*x + a)) + 2*(b^2*d^2*x^2 + b^2*c^2 - 2*b*c*d + 3*(b^2*d^2*x^2 + b^2*c^2 + 2*b*c*d + 2*(b^2*c*d + b*d^2)*x)*cosh(b*x + a)^2 + 2*(b^2*c*d - b*d^2)*x)*sinh(b*x + a))/(b^3*cosh(b*x + a)^4 + 4*b^3*cosh(b*x + a)*sinh(b*x + a)^3 + b^3*sinh(b*x + a)^4 - 2*b^3*cosh(b*x + a)^2 + b^3 + 2*(3*b^3*cosh(b*x + a)^2 - b^3)*sinh(b*x + a)^2 + 4*(b^3*cosh(b*x + a)^3 - b^3*cosh(b*x + a))*sinh(b*x + a))","C",0
11,1,1026,0,0.408356," ","integrate((d*x+c)*csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(b d x + b c + d\right)} \cosh\left(b x + a\right)^{3} + 6 \, {\left(b d x + b c + d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, {\left(b d x + b c + d\right)} \sinh\left(b x + a\right)^{3} + 2 \, {\left(b d x + b c - d\right)} \cosh\left(b x + a\right) + {\left(d \cosh\left(b x + a\right)^{4} + 4 \, d \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d \sinh\left(b x + a\right)^{4} - 2 \, d \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, d \cosh\left(b x + a\right)^{2} - d\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(d \cosh\left(b x + a\right)^{3} - d \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + d\right)} {\rm Li}_2\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right)\right) - {\left(d \cosh\left(b x + a\right)^{4} + 4 \, d \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + d \sinh\left(b x + a\right)^{4} - 2 \, d \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, d \cosh\left(b x + a\right)^{2} - d\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(d \cosh\left(b x + a\right)^{3} - d \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + d\right)} {\rm Li}_2\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right)\right) - {\left({\left(b d x + b c\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d x + b c\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d x + b c\right)} \sinh\left(b x + a\right)^{4} + b d x - 2 \, {\left(b d x + b c\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d x - 3 \, {\left(b d x + b c\right)} \cosh\left(b x + a\right)^{2} + b c\right)} \sinh\left(b x + a\right)^{2} + b c + 4 \, {\left({\left(b d x + b c\right)} \cosh\left(b x + a\right)^{3} - {\left(b d x + b c\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left({\left(b c - a d\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b c - a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b c - a d\right)} \sinh\left(b x + a\right)^{4} - 2 \, {\left(b c - a d\right)} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, {\left(b c - a d\right)} \cosh\left(b x + a\right)^{2} - b c + a d\right)} \sinh\left(b x + a\right)^{2} + b c - a d + 4 \, {\left({\left(b c - a d\right)} \cosh\left(b x + a\right)^{3} - {\left(b c - a d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + {\left({\left(b d x + a d\right)} \cosh\left(b x + a\right)^{4} + 4 \, {\left(b d x + a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(b d x + a d\right)} \sinh\left(b x + a\right)^{4} + b d x - 2 \, {\left(b d x + a d\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(b d x - 3 \, {\left(b d x + a d\right)} \cosh\left(b x + a\right)^{2} + a d\right)} \sinh\left(b x + a\right)^{2} + a d + 4 \, {\left({\left(b d x + a d\right)} \cosh\left(b x + a\right)^{3} - {\left(b d x + a d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-\cosh\left(b x + a\right) - \sinh\left(b x + a\right) + 1\right) + 2 \, {\left(b d x + 3 \, {\left(b d x + b c + d\right)} \cosh\left(b x + a\right)^{2} + b c - d\right)} \sinh\left(b x + a\right)}{2 \, {\left(b^{2} \cosh\left(b x + a\right)^{4} + 4 \, b^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b^{2} \sinh\left(b x + a\right)^{4} - 2 \, b^{2} \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(b x + a\right)^{2} - b^{2}\right)} \sinh\left(b x + a\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(b x + a\right)^{3} - b^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*(2*(b*d*x + b*c + d)*cosh(b*x + a)^3 + 6*(b*d*x + b*c + d)*cosh(b*x + a)*sinh(b*x + a)^2 + 2*(b*d*x + b*c + d)*sinh(b*x + a)^3 + 2*(b*d*x + b*c - d)*cosh(b*x + a) + (d*cosh(b*x + a)^4 + 4*d*cosh(b*x + a)*sinh(b*x + a)^3 + d*sinh(b*x + a)^4 - 2*d*cosh(b*x + a)^2 + 2*(3*d*cosh(b*x + a)^2 - d)*sinh(b*x + a)^2 + 4*(d*cosh(b*x + a)^3 - d*cosh(b*x + a))*sinh(b*x + a) + d)*dilog(cosh(b*x + a) + sinh(b*x + a)) - (d*cosh(b*x + a)^4 + 4*d*cosh(b*x + a)*sinh(b*x + a)^3 + d*sinh(b*x + a)^4 - 2*d*cosh(b*x + a)^2 + 2*(3*d*cosh(b*x + a)^2 - d)*sinh(b*x + a)^2 + 4*(d*cosh(b*x + a)^3 - d*cosh(b*x + a))*sinh(b*x + a) + d)*dilog(-cosh(b*x + a) - sinh(b*x + a)) - ((b*d*x + b*c)*cosh(b*x + a)^4 + 4*(b*d*x + b*c)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d*x + b*c)*sinh(b*x + a)^4 + b*d*x - 2*(b*d*x + b*c)*cosh(b*x + a)^2 - 2*(b*d*x - 3*(b*d*x + b*c)*cosh(b*x + a)^2 + b*c)*sinh(b*x + a)^2 + b*c + 4*((b*d*x + b*c)*cosh(b*x + a)^3 - (b*d*x + b*c)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + 1) + ((b*c - a*d)*cosh(b*x + a)^4 + 4*(b*c - a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*c - a*d)*sinh(b*x + a)^4 - 2*(b*c - a*d)*cosh(b*x + a)^2 + 2*(3*(b*c - a*d)*cosh(b*x + a)^2 - b*c + a*d)*sinh(b*x + a)^2 + b*c - a*d + 4*((b*c - a*d)*cosh(b*x + a)^3 - (b*c - a*d)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - 1) + ((b*d*x + a*d)*cosh(b*x + a)^4 + 4*(b*d*x + a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (b*d*x + a*d)*sinh(b*x + a)^4 + b*d*x - 2*(b*d*x + a*d)*cosh(b*x + a)^2 - 2*(b*d*x - 3*(b*d*x + a*d)*cosh(b*x + a)^2 + a*d)*sinh(b*x + a)^2 + a*d + 4*((b*d*x + a*d)*cosh(b*x + a)^3 - (b*d*x + a*d)*cosh(b*x + a))*sinh(b*x + a))*log(-cosh(b*x + a) - sinh(b*x + a) + 1) + 2*(b*d*x + 3*(b*d*x + b*c + d)*cosh(b*x + a)^2 + b*c - d)*sinh(b*x + a))/(b^2*cosh(b*x + a)^4 + 4*b^2*cosh(b*x + a)*sinh(b*x + a)^3 + b^2*sinh(b*x + a)^4 - 2*b^2*cosh(b*x + a)^2 + 2*(3*b^2*cosh(b*x + a)^2 - b^2)*sinh(b*x + a)^2 + b^2 + 4*(b^2*cosh(b*x + a)^3 - b^2*cosh(b*x + a))*sinh(b*x + a))","B",0
12,0,0,0,0.454474," ","integrate(csch(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(csch(b*x + a)^3/x, x)","F",0
13,-2,0,0,0.000000," ","integrate(x/csch(x)^(3/2)+1/3*x*csch(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
14,-2,0,0,0.000000," ","integrate(x/csch(x)^(5/2)+3/5*x/csch(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
15,-2,0,0,0.000000," ","integrate(x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
16,-2,0,0,0.000000," ","integrate(x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
17,1,1976,0,0.535244," ","integrate((f*x+e)^3*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{2 \, a d^{3} f^{3} x^{3} + 2 \, a d^{3} e^{3} + 6 \, a d^{2} e^{2} f + 12 \, a d e f^{2} + 12 \, a f^{3} + 6 \, {\left(a d^{3} e f^{2} + a d^{2} f^{3}\right)} x^{2} - 2 \, {\left(a d^{3} f^{3} x^{3} + a d^{3} e^{3} - 3 \, a d^{2} e^{2} f + 6 \, a d e f^{2} - 6 \, a f^{3} + 3 \, {\left(a d^{3} e f^{2} - a d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a d^{3} e^{2} f - 2 \, a d^{2} e f^{2} + 2 \, a d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(a d^{3} f^{3} x^{3} + a d^{3} e^{3} - 3 \, a d^{2} e^{2} f + 6 \, a d e f^{2} - 6 \, a f^{3} + 3 \, {\left(a d^{3} e f^{2} - a d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a d^{3} e^{2} f - 2 \, a d^{2} e f^{2} + 2 \, a d f^{3}\right)} x\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(a d^{3} e^{2} f + 2 \, a d^{2} e f^{2} + 2 \, a d f^{3}\right)} x - {\left(b d^{4} f^{3} x^{4} + 4 \, b d^{4} e f^{2} x^{3} + 6 \, b d^{4} e^{2} f x^{2} + 4 \, b d^{4} e^{3} x + 8 \, b c d^{3} e^{3} - 12 \, b c^{2} d^{2} e^{2} f + 8 \, b c^{3} d e f^{2} - 2 \, b c^{4} f^{3}\right)} \cosh\left(d x + c\right) + 12 \, {\left({\left(b d^{2} f^{3} x^{2} + 2 \, b d^{2} e f^{2} x + b d^{2} e^{2} f\right)} \cosh\left(d x + c\right) + {\left(b d^{2} f^{3} x^{2} + 2 \, b d^{2} e f^{2} x + b d^{2} e^{2} f\right)} \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 12 \, {\left({\left(b d^{2} f^{3} x^{2} + 2 \, b d^{2} e f^{2} x + b d^{2} e^{2} f\right)} \cosh\left(d x + c\right) + {\left(b d^{2} f^{3} x^{2} + 2 \, b d^{2} e f^{2} x + b d^{2} e^{2} f\right)} \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 4 \, {\left({\left(b d^{3} e^{3} - 3 \, b c d^{2} e^{2} f + 3 \, b c^{2} d e f^{2} - b c^{3} f^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} e^{3} - 3 \, b c d^{2} e^{2} f + 3 \, b c^{2} d e f^{2} - b c^{3} f^{3}\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 4 \, {\left({\left(b d^{3} e^{3} - 3 \, b c d^{2} e^{2} f + 3 \, b c^{2} d e f^{2} - b c^{3} f^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} e^{3} - 3 \, b c d^{2} e^{2} f + 3 \, b c^{2} d e f^{2} - b c^{3} f^{3}\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 4 \, {\left({\left(b d^{3} f^{3} x^{3} + 3 \, b d^{3} e f^{2} x^{2} + 3 \, b d^{3} e^{2} f x + 3 \, b c d^{2} e^{2} f - 3 \, b c^{2} d e f^{2} + b c^{3} f^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} f^{3} x^{3} + 3 \, b d^{3} e f^{2} x^{2} + 3 \, b d^{3} e^{2} f x + 3 \, b c d^{2} e^{2} f - 3 \, b c^{2} d e f^{2} + b c^{3} f^{3}\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 4 \, {\left({\left(b d^{3} f^{3} x^{3} + 3 \, b d^{3} e f^{2} x^{2} + 3 \, b d^{3} e^{2} f x + 3 \, b c d^{2} e^{2} f - 3 \, b c^{2} d e f^{2} + b c^{3} f^{3}\right)} \cosh\left(d x + c\right) + {\left(b d^{3} f^{3} x^{3} + 3 \, b d^{3} e f^{2} x^{2} + 3 \, b d^{3} e^{2} f x + 3 \, b c d^{2} e^{2} f - 3 \, b c^{2} d e f^{2} + b c^{3} f^{3}\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 24 \, {\left(b f^{3} \cosh\left(d x + c\right) + b f^{3} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 24 \, {\left(b f^{3} \cosh\left(d x + c\right) + b f^{3} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 24 \, {\left({\left(b d f^{3} x + b d e f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d f^{3} x + b d e f^{2}\right)} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 24 \, {\left({\left(b d f^{3} x + b d e f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d f^{3} x + b d e f^{2}\right)} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - {\left(b d^{4} f^{3} x^{4} + 4 \, b d^{4} e f^{2} x^{3} + 6 \, b d^{4} e^{2} f x^{2} + 4 \, b d^{4} e^{3} x + 8 \, b c d^{3} e^{3} - 12 \, b c^{2} d^{2} e^{2} f + 8 \, b c^{3} d e f^{2} - 2 \, b c^{4} f^{3} + 4 \, {\left(a d^{3} f^{3} x^{3} + a d^{3} e^{3} - 3 \, a d^{2} e^{2} f + 6 \, a d e f^{2} - 6 \, a f^{3} + 3 \, {\left(a d^{3} e f^{2} - a d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a d^{3} e^{2} f - 2 \, a d^{2} e f^{2} + 2 \, a d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{4 \, {\left(a^{2} d^{4} \cosh\left(d x + c\right) + a^{2} d^{4} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/4*(2*a*d^3*f^3*x^3 + 2*a*d^3*e^3 + 6*a*d^2*e^2*f + 12*a*d*e*f^2 + 12*a*f^3 + 6*(a*d^3*e*f^2 + a*d^2*f^3)*x^2 - 2*(a*d^3*f^3*x^3 + a*d^3*e^3 - 3*a*d^2*e^2*f + 6*a*d*e*f^2 - 6*a*f^3 + 3*(a*d^3*e*f^2 - a*d^2*f^3)*x^2 + 3*(a*d^3*e^2*f - 2*a*d^2*e*f^2 + 2*a*d*f^3)*x)*cosh(d*x + c)^2 - 2*(a*d^3*f^3*x^3 + a*d^3*e^3 - 3*a*d^2*e^2*f + 6*a*d*e*f^2 - 6*a*f^3 + 3*(a*d^3*e*f^2 - a*d^2*f^3)*x^2 + 3*(a*d^3*e^2*f - 2*a*d^2*e*f^2 + 2*a*d*f^3)*x)*sinh(d*x + c)^2 + 6*(a*d^3*e^2*f + 2*a*d^2*e*f^2 + 2*a*d*f^3)*x - (b*d^4*f^3*x^4 + 4*b*d^4*e*f^2*x^3 + 6*b*d^4*e^2*f*x^2 + 4*b*d^4*e^3*x + 8*b*c*d^3*e^3 - 12*b*c^2*d^2*e^2*f + 8*b*c^3*d*e*f^2 - 2*b*c^4*f^3)*cosh(d*x + c) + 12*((b*d^2*f^3*x^2 + 2*b*d^2*e*f^2*x + b*d^2*e^2*f)*cosh(d*x + c) + (b*d^2*f^3*x^2 + 2*b*d^2*e*f^2*x + b*d^2*e^2*f)*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 12*((b*d^2*f^3*x^2 + 2*b*d^2*e*f^2*x + b*d^2*e^2*f)*cosh(d*x + c) + (b*d^2*f^3*x^2 + 2*b*d^2*e*f^2*x + b*d^2*e^2*f)*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 4*((b*d^3*e^3 - 3*b*c*d^2*e^2*f + 3*b*c^2*d*e*f^2 - b*c^3*f^3)*cosh(d*x + c) + (b*d^3*e^3 - 3*b*c*d^2*e^2*f + 3*b*c^2*d*e*f^2 - b*c^3*f^3)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 4*((b*d^3*e^3 - 3*b*c*d^2*e^2*f + 3*b*c^2*d*e*f^2 - b*c^3*f^3)*cosh(d*x + c) + (b*d^3*e^3 - 3*b*c*d^2*e^2*f + 3*b*c^2*d*e*f^2 - b*c^3*f^3)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 4*((b*d^3*f^3*x^3 + 3*b*d^3*e*f^2*x^2 + 3*b*d^3*e^2*f*x + 3*b*c*d^2*e^2*f - 3*b*c^2*d*e*f^2 + b*c^3*f^3)*cosh(d*x + c) + (b*d^3*f^3*x^3 + 3*b*d^3*e*f^2*x^2 + 3*b*d^3*e^2*f*x + 3*b*c*d^2*e^2*f - 3*b*c^2*d*e*f^2 + b*c^3*f^3)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 4*((b*d^3*f^3*x^3 + 3*b*d^3*e*f^2*x^2 + 3*b*d^3*e^2*f*x + 3*b*c*d^2*e^2*f - 3*b*c^2*d*e*f^2 + b*c^3*f^3)*cosh(d*x + c) + (b*d^3*f^3*x^3 + 3*b*d^3*e*f^2*x^2 + 3*b*d^3*e^2*f*x + 3*b*c*d^2*e^2*f - 3*b*c^2*d*e*f^2 + b*c^3*f^3)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 24*(b*f^3*cosh(d*x + c) + b*f^3*sinh(d*x + c))*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 24*(b*f^3*cosh(d*x + c) + b*f^3*sinh(d*x + c))*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 24*((b*d*f^3*x + b*d*e*f^2)*cosh(d*x + c) + (b*d*f^3*x + b*d*e*f^2)*sinh(d*x + c))*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 24*((b*d*f^3*x + b*d*e*f^2)*cosh(d*x + c) + (b*d*f^3*x + b*d*e*f^2)*sinh(d*x + c))*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - (b*d^4*f^3*x^4 + 4*b*d^4*e*f^2*x^3 + 6*b*d^4*e^2*f*x^2 + 4*b*d^4*e^3*x + 8*b*c*d^3*e^3 - 12*b*c^2*d^2*e^2*f + 8*b*c^3*d*e*f^2 - 2*b*c^4*f^3 + 4*(a*d^3*f^3*x^3 + a*d^3*e^3 - 3*a*d^2*e^2*f + 6*a*d*e*f^2 - 6*a*f^3 + 3*(a*d^3*e*f^2 - a*d^2*f^3)*x^2 + 3*(a*d^3*e^2*f - 2*a*d^2*e*f^2 + 2*a*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c))/(a^2*d^4*cosh(d*x + c) + a^2*d^4*sinh(d*x + c))","C",0
18,1,1265,0,0.442726," ","integrate((f*x+e)^2*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{3 \, a d^{2} f^{2} x^{2} + 3 \, a d^{2} e^{2} + 6 \, a d e f + 6 \, a f^{2} - 3 \, {\left(a d^{2} f^{2} x^{2} + a d^{2} e^{2} - 2 \, a d e f + 2 \, a f^{2} + 2 \, {\left(a d^{2} e f - a d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left(a d^{2} f^{2} x^{2} + a d^{2} e^{2} - 2 \, a d e f + 2 \, a f^{2} + 2 \, {\left(a d^{2} e f - a d f^{2}\right)} x\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(a d^{2} e f + a d f^{2}\right)} x - 2 \, {\left(b d^{3} f^{2} x^{3} + 3 \, b d^{3} e f x^{2} + 3 \, b d^{3} e^{2} x + 6 \, b c d^{2} e^{2} - 6 \, b c^{2} d e f + 2 \, b c^{3} f^{2}\right)} \cosh\left(d x + c\right) + 12 \, {\left({\left(b d f^{2} x + b d e f\right)} \cosh\left(d x + c\right) + {\left(b d f^{2} x + b d e f\right)} \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 12 \, {\left({\left(b d f^{2} x + b d e f\right)} \cosh\left(d x + c\right) + {\left(b d f^{2} x + b d e f\right)} \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 6 \, {\left({\left(b d^{2} e^{2} - 2 \, b c d e f + b c^{2} f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} e^{2} - 2 \, b c d e f + b c^{2} f^{2}\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 6 \, {\left({\left(b d^{2} e^{2} - 2 \, b c d e f + b c^{2} f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} e^{2} - 2 \, b c d e f + b c^{2} f^{2}\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 6 \, {\left({\left(b d^{2} f^{2} x^{2} + 2 \, b d^{2} e f x + 2 \, b c d e f - b c^{2} f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} f^{2} x^{2} + 2 \, b d^{2} e f x + 2 \, b c d e f - b c^{2} f^{2}\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 6 \, {\left({\left(b d^{2} f^{2} x^{2} + 2 \, b d^{2} e f x + 2 \, b c d e f - b c^{2} f^{2}\right)} \cosh\left(d x + c\right) + {\left(b d^{2} f^{2} x^{2} + 2 \, b d^{2} e f x + 2 \, b c d e f - b c^{2} f^{2}\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 12 \, {\left(b f^{2} \cosh\left(d x + c\right) + b f^{2} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 12 \, {\left(b f^{2} \cosh\left(d x + c\right) + b f^{2} \sinh\left(d x + c\right)\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 2 \, {\left(b d^{3} f^{2} x^{3} + 3 \, b d^{3} e f x^{2} + 3 \, b d^{3} e^{2} x + 6 \, b c d^{2} e^{2} - 6 \, b c^{2} d e f + 2 \, b c^{3} f^{2} + 3 \, {\left(a d^{2} f^{2} x^{2} + a d^{2} e^{2} - 2 \, a d e f + 2 \, a f^{2} + 2 \, {\left(a d^{2} e f - a d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{6 \, {\left(a^{2} d^{3} \cosh\left(d x + c\right) + a^{2} d^{3} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/6*(3*a*d^2*f^2*x^2 + 3*a*d^2*e^2 + 6*a*d*e*f + 6*a*f^2 - 3*(a*d^2*f^2*x^2 + a*d^2*e^2 - 2*a*d*e*f + 2*a*f^2 + 2*(a*d^2*e*f - a*d*f^2)*x)*cosh(d*x + c)^2 - 3*(a*d^2*f^2*x^2 + a*d^2*e^2 - 2*a*d*e*f + 2*a*f^2 + 2*(a*d^2*e*f - a*d*f^2)*x)*sinh(d*x + c)^2 + 6*(a*d^2*e*f + a*d*f^2)*x - 2*(b*d^3*f^2*x^3 + 3*b*d^3*e*f*x^2 + 3*b*d^3*e^2*x + 6*b*c*d^2*e^2 - 6*b*c^2*d*e*f + 2*b*c^3*f^2)*cosh(d*x + c) + 12*((b*d*f^2*x + b*d*e*f)*cosh(d*x + c) + (b*d*f^2*x + b*d*e*f)*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 12*((b*d*f^2*x + b*d*e*f)*cosh(d*x + c) + (b*d*f^2*x + b*d*e*f)*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 6*((b*d^2*e^2 - 2*b*c*d*e*f + b*c^2*f^2)*cosh(d*x + c) + (b*d^2*e^2 - 2*b*c*d*e*f + b*c^2*f^2)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 6*((b*d^2*e^2 - 2*b*c*d*e*f + b*c^2*f^2)*cosh(d*x + c) + (b*d^2*e^2 - 2*b*c*d*e*f + b*c^2*f^2)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 6*((b*d^2*f^2*x^2 + 2*b*d^2*e*f*x + 2*b*c*d*e*f - b*c^2*f^2)*cosh(d*x + c) + (b*d^2*f^2*x^2 + 2*b*d^2*e*f*x + 2*b*c*d*e*f - b*c^2*f^2)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 6*((b*d^2*f^2*x^2 + 2*b*d^2*e*f*x + 2*b*c*d*e*f - b*c^2*f^2)*cosh(d*x + c) + (b*d^2*f^2*x^2 + 2*b*d^2*e*f*x + 2*b*c*d*e*f - b*c^2*f^2)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 12*(b*f^2*cosh(d*x + c) + b*f^2*sinh(d*x + c))*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 12*(b*f^2*cosh(d*x + c) + b*f^2*sinh(d*x + c))*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 2*(b*d^3*f^2*x^3 + 3*b*d^3*e*f*x^2 + 3*b*d^3*e^2*x + 6*b*c*d^2*e^2 - 6*b*c^2*d*e*f + 2*b*c^3*f^2 + 3*(a*d^2*f^2*x^2 + a*d^2*e^2 - 2*a*d*e*f + 2*a*f^2 + 2*(a*d^2*e*f - a*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c))/(a^2*d^3*cosh(d*x + c) + a^2*d^3*sinh(d*x + c))","C",0
19,1,692,0,0.431426," ","integrate((f*x+e)*cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{a d f x + a d e - {\left(a d f x + a d e - a f\right)} \cosh\left(d x + c\right)^{2} - {\left(a d f x + a d e - a f\right)} \sinh\left(d x + c\right)^{2} + a f - {\left(b d^{2} f x^{2} + 2 \, b d^{2} e x + 4 \, b c d e - 2 \, b c^{2} f\right)} \cosh\left(d x + c\right) + 2 \, {\left(b f \cosh\left(d x + c\right) + b f \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 2 \, {\left(b f \cosh\left(d x + c\right) + b f \sinh\left(d x + c\right)\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 2 \, {\left({\left(b d e - b c f\right)} \cosh\left(d x + c\right) + {\left(b d e - b c f\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 2 \, {\left({\left(b d e - b c f\right)} \cosh\left(d x + c\right) + {\left(b d e - b c f\right)} \sinh\left(d x + c\right)\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 2 \, {\left({\left(b d f x + b c f\right)} \cosh\left(d x + c\right) + {\left(b d f x + b c f\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 2 \, {\left({\left(b d f x + b c f\right)} \cosh\left(d x + c\right) + {\left(b d f x + b c f\right)} \sinh\left(d x + c\right)\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - {\left(b d^{2} f x^{2} + 2 \, b d^{2} e x + 4 \, b c d e - 2 \, b c^{2} f + 2 \, {\left(a d f x + a d e - a f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left(a^{2} d^{2} \cosh\left(d x + c\right) + a^{2} d^{2} \sinh\left(d x + c\right)\right)}}"," ",0,"-1/2*(a*d*f*x + a*d*e - (a*d*f*x + a*d*e - a*f)*cosh(d*x + c)^2 - (a*d*f*x + a*d*e - a*f)*sinh(d*x + c)^2 + a*f - (b*d^2*f*x^2 + 2*b*d^2*e*x + 4*b*c*d*e - 2*b*c^2*f)*cosh(d*x + c) + 2*(b*f*cosh(d*x + c) + b*f*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 2*(b*f*cosh(d*x + c) + b*f*sinh(d*x + c))*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 2*((b*d*e - b*c*f)*cosh(d*x + c) + (b*d*e - b*c*f)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 2*((b*d*e - b*c*f)*cosh(d*x + c) + (b*d*e - b*c*f)*sinh(d*x + c))*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 2*((b*d*f*x + b*c*f)*cosh(d*x + c) + (b*d*f*x + b*c*f)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 2*((b*d*f*x + b*c*f)*cosh(d*x + c) + (b*d*f*x + b*c*f)*sinh(d*x + c))*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - (b*d^2*f*x^2 + 2*b*d^2*e*x + 4*b*c*d*e - 2*b*c^2*f + 2*(a*d*f*x + a*d*e - a*f)*cosh(d*x + c))*sinh(d*x + c))/(a^2*d^2*cosh(d*x + c) + a^2*d^2*sinh(d*x + c))","B",0
20,1,132,0,0.447933," ","integrate(cosh(d*x+c)/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, b d x \cosh\left(d x + c\right) + a \cosh\left(d x + c\right)^{2} + a \sinh\left(d x + c\right)^{2} - 2 \, {\left(b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(d x + c\right) + b\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 2 \, {\left(b d x + a \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - a}{2 \, {\left(a^{2} d \cosh\left(d x + c\right) + a^{2} d \sinh\left(d x + c\right)\right)}}"," ",0,"1/2*(2*b*d*x*cosh(d*x + c) + a*cosh(d*x + c)^2 + a*sinh(d*x + c)^2 - 2*(b*cosh(d*x + c) + b*sinh(d*x + c))*log(2*(a*sinh(d*x + c) + b)/(cosh(d*x + c) - sinh(d*x + c))) + 2*(b*d*x + a*cosh(d*x + c))*sinh(d*x + c) - a)/(a^2*d*cosh(d*x + c) + a^2*d*sinh(d*x + c))","B",0
21,0,0,0,0.405685," ","integrate(cosh(d*x+c)/(f*x+e)/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(d x + c\right)}{a f x + a e + {\left(b f x + b e\right)} \operatorname{csch}\left(d x + c\right)}, x\right)"," ",0,"integral(cosh(d*x + c)/(a*f*x + a*e + (b*f*x + b*e)*csch(d*x + c)), x)","F",0
22,1,3847,0,0.506505," ","integrate((f*x+e)^3*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} + 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} + 3 \, a^{2} f^{3} - {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} - 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} - 3 \, a^{2} f^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} - a^{2} d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f - 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{4} - {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} - 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} - 3 \, a^{2} f^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} - a^{2} d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f - 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x\right)} \sinh\left(d x + c\right)^{4} + 16 \, {\left(a b d^{3} f^{3} x^{3} + a b d^{3} e^{3} - 3 \, a b d^{2} e^{2} f + 6 \, a b d e f^{2} - 6 \, a b f^{3} + 3 \, {\left(a b d^{3} e f^{2} - a b d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a b d^{3} e^{2} f - 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(4 \, a b d^{3} f^{3} x^{3} + 4 \, a b d^{3} e^{3} - 12 \, a b d^{2} e^{2} f + 24 \, a b d e f^{2} - 24 \, a b f^{3} + 12 \, {\left(a b d^{3} e f^{2} - a b d^{2} f^{3}\right)} x^{2} + 12 \, {\left(a b d^{3} e^{2} f - 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x - {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} - 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} - 3 \, a^{2} f^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} - a^{2} d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f - 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} + a^{2} d^{2} f^{3}\right)} x^{2} - 4 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{4} f^{3} x^{4} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e f^{2} x^{3} + 6 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{2} f x^{2} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{3} x\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(2 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} f^{3} x^{4} + 8 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e f^{2} x^{3} + 12 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{2} f x^{2} + 8 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{3} x + 3 \, {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} - 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} - 3 \, a^{2} f^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} - a^{2} d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f - 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} - 24 \, {\left(a b d^{3} f^{3} x^{3} + a b d^{3} e^{3} - 3 \, a b d^{2} e^{2} f + 6 \, a b d e f^{2} - 6 \, a b f^{3} + 3 \, {\left(a b d^{3} e f^{2} - a b d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a b d^{3} e^{2} f - 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 96 \, {\left({\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 96 \, {\left({\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} f^{3} x^{2} + 2 \, a b d^{2} e f^{2} x + a b d^{2} e^{2} f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 32 \, {\left({\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 32 \, {\left({\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{3} e^{3} - 3 \, a b c d^{2} e^{2} f + 3 \, a b c^{2} d e f^{2} - a b c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 32 \, {\left({\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 32 \, {\left({\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{3} f^{3} x^{3} + 3 \, a b d^{3} e f^{2} x^{2} + 3 \, a b d^{3} e^{2} f x + 3 \, a b c d^{2} e^{2} f - 3 \, a b c^{2} d e f^{2} + a b c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 192 \, {\left(a b f^{3} \cosh\left(d x + c\right)^{2} + 2 \, a b f^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f^{3} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 192 \, {\left(a b f^{3} \cosh\left(d x + c\right)^{2} + 2 \, a b f^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f^{3} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 192 \, {\left({\left(a b d f^{3} x + a b d e f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f^{3} x + a b d e f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f^{3} x + a b d e f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 192 \, {\left({\left(a b d f^{3} x + a b d e f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f^{3} x + a b d e f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f^{3} x + a b d e f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f + 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x + 16 \, {\left(a b d^{3} f^{3} x^{3} + a b d^{3} e^{3} + 3 \, a b d^{2} e^{2} f + 6 \, a b d e f^{2} + 6 \, a b f^{3} + 3 \, {\left(a b d^{3} e f^{2} + a b d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a b d^{3} e^{2} f + 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x\right)} \cosh\left(d x + c\right) + 4 \, {\left(4 \, a b d^{3} f^{3} x^{3} + 4 \, a b d^{3} e^{3} + 12 \, a b d^{2} e^{2} f + 24 \, a b d e f^{2} + 24 \, a b f^{3} - {\left(4 \, a^{2} d^{3} f^{3} x^{3} + 4 \, a^{2} d^{3} e^{3} - 6 \, a^{2} d^{2} e^{2} f + 6 \, a^{2} d e f^{2} - 3 \, a^{2} f^{3} + 6 \, {\left(2 \, a^{2} d^{3} e f^{2} - a^{2} d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} d^{3} e^{2} f - 2 \, a^{2} d^{2} e f^{2} + a^{2} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 12 \, {\left(a b d^{3} e f^{2} + a b d^{2} f^{3}\right)} x^{2} + 12 \, {\left(a b d^{3} f^{3} x^{3} + a b d^{3} e^{3} - 3 \, a b d^{2} e^{2} f + 6 \, a b d e f^{2} - 6 \, a b f^{3} + 3 \, {\left(a b d^{3} e f^{2} - a b d^{2} f^{3}\right)} x^{2} + 3 \, {\left(a b d^{3} e^{2} f - 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left(a b d^{3} e^{2} f + 2 \, a b d^{2} e f^{2} + 2 \, a b d f^{3}\right)} x - 2 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{4} f^{3} x^{4} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e f^{2} x^{3} + 6 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{2} f x^{2} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{4} e^{3} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{32 \, {\left(a^{3} d^{4} \cosh\left(d x + c\right)^{2} + 2 \, a^{3} d^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3} d^{4} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"-1/32*(4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 + 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 + 3*a^2*f^3 - (4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 - 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 - 3*a^2*f^3 + 6*(2*a^2*d^3*e*f^2 - a^2*d^2*f^3)*x^2 + 6*(2*a^2*d^3*e^2*f - 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x)*cosh(d*x + c)^4 - (4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 - 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 - 3*a^2*f^3 + 6*(2*a^2*d^3*e*f^2 - a^2*d^2*f^3)*x^2 + 6*(2*a^2*d^3*e^2*f - 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x)*sinh(d*x + c)^4 + 16*(a*b*d^3*f^3*x^3 + a*b*d^3*e^3 - 3*a*b*d^2*e^2*f + 6*a*b*d*e*f^2 - 6*a*b*f^3 + 3*(a*b*d^3*e*f^2 - a*b*d^2*f^3)*x^2 + 3*(a*b*d^3*e^2*f - 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x)*cosh(d*x + c)^3 + 4*(4*a*b*d^3*f^3*x^3 + 4*a*b*d^3*e^3 - 12*a*b*d^2*e^2*f + 24*a*b*d*e*f^2 - 24*a*b*f^3 + 12*(a*b*d^3*e*f^2 - a*b*d^2*f^3)*x^2 + 12*(a*b*d^3*e^2*f - 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x - (4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 - 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 - 3*a^2*f^3 + 6*(2*a^2*d^3*e*f^2 - a^2*d^2*f^3)*x^2 + 6*(2*a^2*d^3*e^2*f - 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c)^3 + 6*(2*a^2*d^3*e*f^2 + a^2*d^2*f^3)*x^2 - 4*((a^2 + 2*b^2)*d^4*f^3*x^4 + 4*(a^2 + 2*b^2)*d^4*e*f^2*x^3 + 6*(a^2 + 2*b^2)*d^4*e^2*f*x^2 + 4*(a^2 + 2*b^2)*d^4*e^3*x)*cosh(d*x + c)^2 - 2*(2*(a^2 + 2*b^2)*d^4*f^3*x^4 + 8*(a^2 + 2*b^2)*d^4*e*f^2*x^3 + 12*(a^2 + 2*b^2)*d^4*e^2*f*x^2 + 8*(a^2 + 2*b^2)*d^4*e^3*x + 3*(4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 - 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 - 3*a^2*f^3 + 6*(2*a^2*d^3*e*f^2 - a^2*d^2*f^3)*x^2 + 6*(2*a^2*d^3*e^2*f - 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x)*cosh(d*x + c)^2 - 24*(a*b*d^3*f^3*x^3 + a*b*d^3*e^3 - 3*a*b*d^2*e^2*f + 6*a*b*d*e*f^2 - 6*a*b*f^3 + 3*(a*b*d^3*e*f^2 - a*b*d^2*f^3)*x^2 + 3*(a*b*d^3*e^2*f - 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c)^2 + 96*((a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*cosh(d*x + c)^2 + 2*(a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 96*((a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*cosh(d*x + c)^2 + 2*(a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*f^3*x^2 + 2*a*b*d^2*e*f^2*x + a*b*d^2*e^2*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 32*((a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*cosh(d*x + c)^2 + 2*(a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 32*((a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*cosh(d*x + c)^2 + 2*(a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^3*e^3 - 3*a*b*c*d^2*e^2*f + 3*a*b*c^2*d*e*f^2 - a*b*c^3*f^3)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 32*((a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*cosh(d*x + c)^2 + 2*(a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 32*((a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*cosh(d*x + c)^2 + 2*(a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^3*f^3*x^3 + 3*a*b*d^3*e*f^2*x^2 + 3*a*b*d^3*e^2*f*x + 3*a*b*c*d^2*e^2*f - 3*a*b*c^2*d*e*f^2 + a*b*c^3*f^3)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 192*(a*b*f^3*cosh(d*x + c)^2 + 2*a*b*f^3*cosh(d*x + c)*sinh(d*x + c) + a*b*f^3*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 192*(a*b*f^3*cosh(d*x + c)^2 + 2*a*b*f^3*cosh(d*x + c)*sinh(d*x + c) + a*b*f^3*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 192*((a*b*d*f^3*x + a*b*d*e*f^2)*cosh(d*x + c)^2 + 2*(a*b*d*f^3*x + a*b*d*e*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f^3*x + a*b*d*e*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 192*((a*b*d*f^3*x + a*b*d*e*f^2)*cosh(d*x + c)^2 + 2*(a*b*d*f^3*x + a*b*d*e*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f^3*x + a*b*d*e*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 6*(2*a^2*d^3*e^2*f + 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x + 16*(a*b*d^3*f^3*x^3 + a*b*d^3*e^3 + 3*a*b*d^2*e^2*f + 6*a*b*d*e*f^2 + 6*a*b*f^3 + 3*(a*b*d^3*e*f^2 + a*b*d^2*f^3)*x^2 + 3*(a*b*d^3*e^2*f + 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x)*cosh(d*x + c) + 4*(4*a*b*d^3*f^3*x^3 + 4*a*b*d^3*e^3 + 12*a*b*d^2*e^2*f + 24*a*b*d*e*f^2 + 24*a*b*f^3 - (4*a^2*d^3*f^3*x^3 + 4*a^2*d^3*e^3 - 6*a^2*d^2*e^2*f + 6*a^2*d*e*f^2 - 3*a^2*f^3 + 6*(2*a^2*d^3*e*f^2 - a^2*d^2*f^3)*x^2 + 6*(2*a^2*d^3*e^2*f - 2*a^2*d^2*e*f^2 + a^2*d*f^3)*x)*cosh(d*x + c)^3 + 12*(a*b*d^3*e*f^2 + a*b*d^2*f^3)*x^2 + 12*(a*b*d^3*f^3*x^3 + a*b*d^3*e^3 - 3*a*b*d^2*e^2*f + 6*a*b*d*e*f^2 - 6*a*b*f^3 + 3*(a*b*d^3*e*f^2 - a*b*d^2*f^3)*x^2 + 3*(a*b*d^3*e^2*f - 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x)*cosh(d*x + c)^2 + 12*(a*b*d^3*e^2*f + 2*a*b*d^2*e*f^2 + 2*a*b*d*f^3)*x - 2*((a^2 + 2*b^2)*d^4*f^3*x^4 + 4*(a^2 + 2*b^2)*d^4*e*f^2*x^3 + 6*(a^2 + 2*b^2)*d^4*e^2*f*x^2 + 4*(a^2 + 2*b^2)*d^4*e^3*x)*cosh(d*x + c))*sinh(d*x + c))/(a^3*d^4*cosh(d*x + c)^2 + 2*a^3*d^4*cosh(d*x + c)*sinh(d*x + c) + a^3*d^4*sinh(d*x + c)^2)","C",0
23,1,2410,0,0.464338," ","integrate((f*x+e)^2*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{6 \, a^{2} d^{2} f^{2} x^{2} + 6 \, a^{2} d^{2} e^{2} + 6 \, a^{2} d e f - 3 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e^{2} - 2 \, a^{2} d e f + a^{2} f^{2} + 2 \, {\left(2 \, a^{2} d^{2} e f - a^{2} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e^{2} - 2 \, a^{2} d e f + a^{2} f^{2} + 2 \, {\left(2 \, a^{2} d^{2} e f - a^{2} d f^{2}\right)} x\right)} \sinh\left(d x + c\right)^{4} + 3 \, a^{2} f^{2} + 24 \, {\left(a b d^{2} f^{2} x^{2} + a b d^{2} e^{2} - 2 \, a b d e f + 2 \, a b f^{2} + 2 \, {\left(a b d^{2} e f - a b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 12 \, {\left(2 \, a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e^{2} - 4 \, a b d e f + 4 \, a b f^{2} + 4 \, {\left(a b d^{2} e f - a b d f^{2}\right)} x - {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e^{2} - 2 \, a^{2} d e f + a^{2} f^{2} + 2 \, {\left(2 \, a^{2} d^{2} e f - a^{2} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 8 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{3} f^{2} x^{3} + 3 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e f x^{2} + 3 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e^{2} x\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} f^{2} x^{3} + 12 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e f x^{2} + 12 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e^{2} x + 9 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e^{2} - 2 \, a^{2} d e f + a^{2} f^{2} + 2 \, {\left(2 \, a^{2} d^{2} e f - a^{2} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} - 36 \, {\left(a b d^{2} f^{2} x^{2} + a b d^{2} e^{2} - 2 \, a b d e f + 2 \, a b f^{2} + 2 \, {\left(a b d^{2} e f - a b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 96 \, {\left({\left(a b d f^{2} x + a b d e f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f^{2} x + a b d e f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f^{2} x + a b d e f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 96 \, {\left({\left(a b d f^{2} x + a b d e f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f^{2} x + a b d e f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f^{2} x + a b d e f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 48 \, {\left({\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 48 \, {\left({\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} e^{2} - 2 \, a b c d e f + a b c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 48 \, {\left({\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 48 \, {\left({\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d^{2} f^{2} x^{2} + 2 \, a b d^{2} e f x + 2 \, a b c d e f - a b c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 96 \, {\left(a b f^{2} \cosh\left(d x + c\right)^{2} + 2 \, a b f^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f^{2} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 96 \, {\left(a b f^{2} \cosh\left(d x + c\right)^{2} + 2 \, a b f^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f^{2} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 6 \, {\left(2 \, a^{2} d^{2} e f + a^{2} d f^{2}\right)} x + 24 \, {\left(a b d^{2} f^{2} x^{2} + a b d^{2} e^{2} + 2 \, a b d e f + 2 \, a b f^{2} + 2 \, {\left(a b d^{2} e f + a b d f^{2}\right)} x\right)} \cosh\left(d x + c\right) + 4 \, {\left(6 \, a b d^{2} f^{2} x^{2} + 6 \, a b d^{2} e^{2} + 12 \, a b d e f + 12 \, a b f^{2} - 3 \, {\left(2 \, a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} d^{2} e^{2} - 2 \, a^{2} d e f + a^{2} f^{2} + 2 \, {\left(2 \, a^{2} d^{2} e f - a^{2} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 18 \, {\left(a b d^{2} f^{2} x^{2} + a b d^{2} e^{2} - 2 \, a b d e f + 2 \, a b f^{2} + 2 \, {\left(a b d^{2} e f - a b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left(a b d^{2} e f + a b d f^{2}\right)} x - 4 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{3} f^{2} x^{3} + 3 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e f x^{2} + 3 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{3} e^{2} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{48 \, {\left(a^{3} d^{3} \cosh\left(d x + c\right)^{2} + 2 \, a^{3} d^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3} d^{3} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"-1/48*(6*a^2*d^2*f^2*x^2 + 6*a^2*d^2*e^2 + 6*a^2*d*e*f - 3*(2*a^2*d^2*f^2*x^2 + 2*a^2*d^2*e^2 - 2*a^2*d*e*f + a^2*f^2 + 2*(2*a^2*d^2*e*f - a^2*d*f^2)*x)*cosh(d*x + c)^4 - 3*(2*a^2*d^2*f^2*x^2 + 2*a^2*d^2*e^2 - 2*a^2*d*e*f + a^2*f^2 + 2*(2*a^2*d^2*e*f - a^2*d*f^2)*x)*sinh(d*x + c)^4 + 3*a^2*f^2 + 24*(a*b*d^2*f^2*x^2 + a*b*d^2*e^2 - 2*a*b*d*e*f + 2*a*b*f^2 + 2*(a*b*d^2*e*f - a*b*d*f^2)*x)*cosh(d*x + c)^3 + 12*(2*a*b*d^2*f^2*x^2 + 2*a*b*d^2*e^2 - 4*a*b*d*e*f + 4*a*b*f^2 + 4*(a*b*d^2*e*f - a*b*d*f^2)*x - (2*a^2*d^2*f^2*x^2 + 2*a^2*d^2*e^2 - 2*a^2*d*e*f + a^2*f^2 + 2*(2*a^2*d^2*e*f - a^2*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c)^3 - 8*((a^2 + 2*b^2)*d^3*f^2*x^3 + 3*(a^2 + 2*b^2)*d^3*e*f*x^2 + 3*(a^2 + 2*b^2)*d^3*e^2*x)*cosh(d*x + c)^2 - 2*(4*(a^2 + 2*b^2)*d^3*f^2*x^3 + 12*(a^2 + 2*b^2)*d^3*e*f*x^2 + 12*(a^2 + 2*b^2)*d^3*e^2*x + 9*(2*a^2*d^2*f^2*x^2 + 2*a^2*d^2*e^2 - 2*a^2*d*e*f + a^2*f^2 + 2*(2*a^2*d^2*e*f - a^2*d*f^2)*x)*cosh(d*x + c)^2 - 36*(a*b*d^2*f^2*x^2 + a*b*d^2*e^2 - 2*a*b*d*e*f + 2*a*b*f^2 + 2*(a*b*d^2*e*f - a*b*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c)^2 + 96*((a*b*d*f^2*x + a*b*d*e*f)*cosh(d*x + c)^2 + 2*(a*b*d*f^2*x + a*b*d*e*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f^2*x + a*b*d*e*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 96*((a*b*d*f^2*x + a*b*d*e*f)*cosh(d*x + c)^2 + 2*(a*b*d*f^2*x + a*b*d*e*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f^2*x + a*b*d*e*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 48*((a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*cosh(d*x + c)^2 + 2*(a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 48*((a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*cosh(d*x + c)^2 + 2*(a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*e^2 - 2*a*b*c*d*e*f + a*b*c^2*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 48*((a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*cosh(d*x + c)^2 + 2*(a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 48*((a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*cosh(d*x + c)^2 + 2*(a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d^2*f^2*x^2 + 2*a*b*d^2*e*f*x + 2*a*b*c*d*e*f - a*b*c^2*f^2)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 96*(a*b*f^2*cosh(d*x + c)^2 + 2*a*b*f^2*cosh(d*x + c)*sinh(d*x + c) + a*b*f^2*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 96*(a*b*f^2*cosh(d*x + c)^2 + 2*a*b*f^2*cosh(d*x + c)*sinh(d*x + c) + a*b*f^2*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 6*(2*a^2*d^2*e*f + a^2*d*f^2)*x + 24*(a*b*d^2*f^2*x^2 + a*b*d^2*e^2 + 2*a*b*d*e*f + 2*a*b*f^2 + 2*(a*b*d^2*e*f + a*b*d*f^2)*x)*cosh(d*x + c) + 4*(6*a*b*d^2*f^2*x^2 + 6*a*b*d^2*e^2 + 12*a*b*d*e*f + 12*a*b*f^2 - 3*(2*a^2*d^2*f^2*x^2 + 2*a^2*d^2*e^2 - 2*a^2*d*e*f + a^2*f^2 + 2*(2*a^2*d^2*e*f - a^2*d*f^2)*x)*cosh(d*x + c)^3 + 18*(a*b*d^2*f^2*x^2 + a*b*d^2*e^2 - 2*a*b*d*e*f + 2*a*b*f^2 + 2*(a*b*d^2*e*f - a*b*d*f^2)*x)*cosh(d*x + c)^2 + 12*(a*b*d^2*e*f + a*b*d*f^2)*x - 4*((a^2 + 2*b^2)*d^3*f^2*x^3 + 3*(a^2 + 2*b^2)*d^3*e*f*x^2 + 3*(a^2 + 2*b^2)*d^3*e^2*x)*cosh(d*x + c))*sinh(d*x + c))/(a^3*d^3*cosh(d*x + c)^2 + 2*a^3*d^3*cosh(d*x + c)*sinh(d*x + c) + a^3*d^3*sinh(d*x + c)^2)","C",0
24,1,1284,0,0.444603," ","integrate((f*x+e)*cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{2 \, a^{2} d f x - {\left(2 \, a^{2} d f x + 2 \, a^{2} d e - a^{2} f\right)} \cosh\left(d x + c\right)^{4} - {\left(2 \, a^{2} d f x + 2 \, a^{2} d e - a^{2} f\right)} \sinh\left(d x + c\right)^{4} + 2 \, a^{2} d e + 8 \, {\left(a b d f x + a b d e - a b f\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(2 \, a b d f x + 2 \, a b d e - 2 \, a b f - {\left(2 \, a^{2} d f x + 2 \, a^{2} d e - a^{2} f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + a^{2} f - 4 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{2} f x^{2} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{2} e x\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(2 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{2} f x^{2} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{2} e x + 3 \, {\left(2 \, a^{2} d f x + 2 \, a^{2} d e - a^{2} f\right)} \cosh\left(d x + c\right)^{2} - 12 \, {\left(a b d f x + a b d e - a b f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 16 \, {\left(a b f \cosh\left(d x + c\right)^{2} + 2 \, a b f \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 16 \, {\left(a b f \cosh\left(d x + c\right)^{2} + 2 \, a b f \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b f \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 16 \, {\left({\left(a b d e - a b c f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d e - a b c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d e - a b c f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 16 \, {\left({\left(a b d e - a b c f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d e - a b c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d e - a b c f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 16 \, {\left({\left(a b d f x + a b c f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f x + a b c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f x + a b c f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 16 \, {\left({\left(a b d f x + a b c f\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a b d f x + a b c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + {\left(a b d f x + a b c f\right)} \sinh\left(d x + c\right)^{2}\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 8 \, {\left(a b d f x + a b d e + a b f\right)} \cosh\left(d x + c\right) + 4 \, {\left(2 \, a b d f x + 2 \, a b d e - {\left(2 \, a^{2} d f x + 2 \, a^{2} d e - a^{2} f\right)} \cosh\left(d x + c\right)^{3} + 2 \, a b f + 6 \, {\left(a b d f x + a b d e - a b f\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left({\left(a^{2} + 2 \, b^{2}\right)} d^{2} f x^{2} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} d^{2} e x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{16 \, {\left(a^{3} d^{2} \cosh\left(d x + c\right)^{2} + 2 \, a^{3} d^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3} d^{2} \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"-1/16*(2*a^2*d*f*x - (2*a^2*d*f*x + 2*a^2*d*e - a^2*f)*cosh(d*x + c)^4 - (2*a^2*d*f*x + 2*a^2*d*e - a^2*f)*sinh(d*x + c)^4 + 2*a^2*d*e + 8*(a*b*d*f*x + a*b*d*e - a*b*f)*cosh(d*x + c)^3 + 4*(2*a*b*d*f*x + 2*a*b*d*e - 2*a*b*f - (2*a^2*d*f*x + 2*a^2*d*e - a^2*f)*cosh(d*x + c))*sinh(d*x + c)^3 + a^2*f - 4*((a^2 + 2*b^2)*d^2*f*x^2 + 2*(a^2 + 2*b^2)*d^2*e*x)*cosh(d*x + c)^2 - 2*(2*(a^2 + 2*b^2)*d^2*f*x^2 + 4*(a^2 + 2*b^2)*d^2*e*x + 3*(2*a^2*d*f*x + 2*a^2*d*e - a^2*f)*cosh(d*x + c)^2 - 12*(a*b*d*f*x + a*b*d*e - a*b*f)*cosh(d*x + c))*sinh(d*x + c)^2 + 16*(a*b*f*cosh(d*x + c)^2 + 2*a*b*f*cosh(d*x + c)*sinh(d*x + c) + a*b*f*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 16*(a*b*f*cosh(d*x + c)^2 + 2*a*b*f*cosh(d*x + c)*sinh(d*x + c) + a*b*f*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 16*((a*b*d*e - a*b*c*f)*cosh(d*x + c)^2 + 2*(a*b*d*e - a*b*c*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*e - a*b*c*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 16*((a*b*d*e - a*b*c*f)*cosh(d*x + c)^2 + 2*(a*b*d*e - a*b*c*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*e - a*b*c*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 16*((a*b*d*f*x + a*b*c*f)*cosh(d*x + c)^2 + 2*(a*b*d*f*x + a*b*c*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f*x + a*b*c*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 16*((a*b*d*f*x + a*b*c*f)*cosh(d*x + c)^2 + 2*(a*b*d*f*x + a*b*c*f)*cosh(d*x + c)*sinh(d*x + c) + (a*b*d*f*x + a*b*c*f)*sinh(d*x + c)^2)*sqrt((a^2 + b^2)/a^2)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 8*(a*b*d*f*x + a*b*d*e + a*b*f)*cosh(d*x + c) + 4*(2*a*b*d*f*x + 2*a*b*d*e - (2*a^2*d*f*x + 2*a^2*d*e - a^2*f)*cosh(d*x + c)^3 + 2*a*b*f + 6*(a*b*d*f*x + a*b*d*e - a*b*f)*cosh(d*x + c)^2 - 2*((a^2 + 2*b^2)*d^2*f*x^2 + 2*(a^2 + 2*b^2)*d^2*e*x)*cosh(d*x + c))*sinh(d*x + c))/(a^3*d^2*cosh(d*x + c)^2 + 2*a^3*d^2*cosh(d*x + c)*sinh(d*x + c) + a^3*d^2*sinh(d*x + c)^2)","B",0
25,1,446,0,0.432510," ","integrate(cosh(d*x+c)^2/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","\frac{a^{2} \cosh\left(d x + c\right)^{4} + a^{2} \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} d x \cosh\left(d x + c\right)^{2} - 4 \, a b \cosh\left(d x + c\right)^{3} + 4 \, {\left(a^{2} \cosh\left(d x + c\right) - a b\right)} \sinh\left(d x + c\right)^{3} - 4 \, a b \cosh\left(d x + c\right) + 2 \, {\left(3 \, a^{2} \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} d x - 6 \, a b \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 8 \, {\left(b \cosh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + b \sinh\left(d x + c\right)^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(d x + c\right)^{2} + a^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + b\right)}}{a \cosh\left(d x + c\right)^{2} + a \sinh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) + 2 \, {\left(a \cosh\left(d x + c\right) + b\right)} \sinh\left(d x + c\right) - a}\right) - a^{2} + 4 \, {\left(a^{2} \cosh\left(d x + c\right)^{3} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} d x \cosh\left(d x + c\right) - 3 \, a b \cosh\left(d x + c\right)^{2} - a b\right)} \sinh\left(d x + c\right)}{8 \, {\left(a^{3} d \cosh\left(d x + c\right)^{2} + 2 \, a^{3} d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{3} d \sinh\left(d x + c\right)^{2}\right)}}"," ",0,"1/8*(a^2*cosh(d*x + c)^4 + a^2*sinh(d*x + c)^4 + 4*(a^2 + 2*b^2)*d*x*cosh(d*x + c)^2 - 4*a*b*cosh(d*x + c)^3 + 4*(a^2*cosh(d*x + c) - a*b)*sinh(d*x + c)^3 - 4*a*b*cosh(d*x + c) + 2*(3*a^2*cosh(d*x + c)^2 + 2*(a^2 + 2*b^2)*d*x - 6*a*b*cosh(d*x + c))*sinh(d*x + c)^2 + 8*(b*cosh(d*x + c)^2 + 2*b*cosh(d*x + c)*sinh(d*x + c) + b*sinh(d*x + c)^2)*sqrt(a^2 + b^2)*log((a^2*cosh(d*x + c)^2 + a^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + a^2 + 2*b^2 + 2*(a^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(a*cosh(d*x + c) + a*sinh(d*x + c) + b))/(a*cosh(d*x + c)^2 + a*sinh(d*x + c)^2 + 2*b*cosh(d*x + c) + 2*(a*cosh(d*x + c) + b)*sinh(d*x + c) - a)) - a^2 + 4*(a^2*cosh(d*x + c)^3 + 2*(a^2 + 2*b^2)*d*x*cosh(d*x + c) - 3*a*b*cosh(d*x + c)^2 - a*b)*sinh(d*x + c))/(a^3*d*cosh(d*x + c)^2 + 2*a^3*d*cosh(d*x + c)*sinh(d*x + c) + a^3*d*sinh(d*x + c)^2)","B",0
26,1,7980,0,0.648170," ","integrate((f*x+e)^3*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{36 \, a^{3} d^{3} f^{3} x^{3} + 36 \, a^{3} d^{3} e^{3} + 36 \, a^{3} d^{2} e^{2} f + 24 \, a^{3} d e f^{2} - 4 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{6} - 4 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \sinh\left(d x + c\right)^{6} + 8 \, a^{3} f^{3} + 27 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} - 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} - 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{5} + 3 \, {\left(36 \, a^{2} b d^{3} f^{3} x^{3} + 36 \, a^{2} b d^{3} e^{3} - 54 \, a^{2} b d^{2} e^{2} f + 54 \, a^{2} b d e f^{2} - 27 \, a^{2} b f^{3} + 54 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 54 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x - 8 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} - 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(36 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + 36 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} - 108 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 216 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 216 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 20 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x - 45 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} - 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} - 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} - 216 \, {\left({\left(a^{2} b + b^{3}\right)} d^{4} f^{3} x^{4} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e f^{2} x^{3} + 6 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{2} f x^{2} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{3} x + 8 \, {\left(a^{2} b + b^{3}\right)} c d^{3} e^{3} - 12 \, {\left(a^{2} b + b^{3}\right)} c^{2} d^{2} e^{2} f + 8 \, {\left(a^{2} b + b^{3}\right)} c^{3} d e f^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c^{4} f^{3}\right)} \cosh\left(d x + c\right)^{3} - 2 \, {\left(108 \, {\left(a^{2} b + b^{3}\right)} d^{4} f^{3} x^{4} + 432 \, {\left(a^{2} b + b^{3}\right)} d^{4} e f^{2} x^{3} + 648 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{2} f x^{2} + 432 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{3} x + 864 \, {\left(a^{2} b + b^{3}\right)} c d^{3} e^{3} - 1296 \, {\left(a^{2} b + b^{3}\right)} c^{2} d^{2} e^{2} f + 864 \, {\left(a^{2} b + b^{3}\right)} c^{3} d e f^{2} - 216 \, {\left(a^{2} b + b^{3}\right)} c^{4} f^{3} + 40 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{3} - 135 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} - 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} - 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 216 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 36 \, {\left(3 \, a^{3} d^{3} e f^{2} + a^{3} d^{2} f^{3}\right)} x^{2} + 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} + 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + 18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} + 54 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 108 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 10 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{4} + 108 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 45 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} - 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} - 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 54 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} - 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 54 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x - 108 \, {\left({\left(a^{2} b + b^{3}\right)} d^{4} f^{3} x^{4} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e f^{2} x^{3} + 6 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{2} f x^{2} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{3} x + 8 \, {\left(a^{2} b + b^{3}\right)} c d^{3} e^{3} - 12 \, {\left(a^{2} b + b^{3}\right)} c^{2} d^{2} e^{2} f + 8 \, {\left(a^{2} b + b^{3}\right)} c^{3} d e f^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c^{4} f^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 12 \, {\left(9 \, a^{3} d^{3} e^{2} f + 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x + 27 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} + 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} + 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} + a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f + 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right) + 2592 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 2592 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{3} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f^{2} x + {\left(a^{2} b + b^{3}\right)} d^{2} e^{2} f\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{3} e^{3} - 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f + 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} - {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{3} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f^{2} x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} f x + 3 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} f - 3 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f^{2} + {\left(a^{2} b + b^{3}\right)} c^{3} f^{3}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 5184 \, {\left({\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f^{3} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 5184 \, {\left({\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f^{3} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(4, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 5184 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 5184 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f^{3} x + {\left(a^{2} b + b^{3}\right)} d e f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 3 \, {\left(36 \, a^{2} b d^{3} f^{3} x^{3} + 36 \, a^{2} b d^{3} e^{3} + 54 \, a^{2} b d^{2} e^{2} f + 54 \, a^{2} b d e f^{2} + 27 \, a^{2} b f^{3} - 8 \, {\left(9 \, a^{3} d^{3} f^{3} x^{3} + 9 \, a^{3} d^{3} e^{3} - 9 \, a^{3} d^{2} e^{2} f + 6 \, a^{3} d e f^{2} - 2 \, a^{3} f^{3} + 9 \, {\left(3 \, a^{3} d^{3} e f^{2} - a^{3} d^{2} f^{3}\right)} x^{2} + 3 \, {\left(9 \, a^{3} d^{3} e^{2} f - 6 \, a^{3} d^{2} e f^{2} + 2 \, a^{3} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{5} + 45 \, {\left(4 \, a^{2} b d^{3} f^{3} x^{3} + 4 \, a^{2} b d^{3} e^{3} - 6 \, a^{2} b d^{2} e^{2} f + 6 \, a^{2} b d e f^{2} - 3 \, a^{2} b f^{3} + 6 \, {\left(2 \, a^{2} b d^{3} e f^{2} - a^{2} b d^{2} f^{3}\right)} x^{2} + 6 \, {\left(2 \, a^{2} b d^{3} e^{2} f - 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{4} - 144 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} - 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 54 \, {\left(2 \, a^{2} b d^{3} e f^{2} + a^{2} b d^{2} f^{3}\right)} x^{2} - 216 \, {\left({\left(a^{2} b + b^{3}\right)} d^{4} f^{3} x^{4} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e f^{2} x^{3} + 6 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{2} f x^{2} + 4 \, {\left(a^{2} b + b^{3}\right)} d^{4} e^{3} x + 8 \, {\left(a^{2} b + b^{3}\right)} c d^{3} e^{3} - 12 \, {\left(a^{2} b + b^{3}\right)} c^{2} d^{2} e^{2} f + 8 \, {\left(a^{2} b + b^{3}\right)} c^{3} d e f^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c^{4} f^{3}\right)} \cosh\left(d x + c\right)^{2} + 54 \, {\left(2 \, a^{2} b d^{3} e^{2} f + 2 \, a^{2} b d^{2} e f^{2} + a^{2} b d f^{3}\right)} x + 72 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} f^{3} x^{3} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{3} + 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} f + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f^{2} + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e f^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{3}\right)} x^{2} + 3 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{3} e^{2} f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{3}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{864 \, {\left(a^{4} d^{4} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} d^{4} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, a^{4} d^{4} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + a^{4} d^{4} \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"-1/864*(36*a^3*d^3*f^3*x^3 + 36*a^3*d^3*e^3 + 36*a^3*d^2*e^2*f + 24*a^3*d*e*f^2 - 4*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c)^6 - 4*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*sinh(d*x + c)^6 + 8*a^3*f^3 + 27*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 - 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 - 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c)^5 + 3*(36*a^2*b*d^3*f^3*x^3 + 36*a^2*b*d^3*e^3 - 54*a^2*b*d^2*e^2*f + 54*a^2*b*d*e*f^2 - 27*a^2*b*f^3 + 54*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 54*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x - 8*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c)^5 - 108*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 - 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 - 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 - (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f - 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c)^4 - 3*(36*(3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + 36*(3*a^3 + 4*a*b^2)*d^3*e^3 - 108*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 216*(3*a^3 + 4*a*b^2)*d*e*f^2 - 216*(3*a^3 + 4*a*b^2)*f^3 + 108*((3*a^3 + 4*a*b^2)*d^3*e*f^2 - (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 20*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c)^2 + 108*((3*a^3 + 4*a*b^2)*d^3*e^2*f - 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x - 45*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 - 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 - 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c)^4 - 216*((a^2*b + b^3)*d^4*f^3*x^4 + 4*(a^2*b + b^3)*d^4*e*f^2*x^3 + 6*(a^2*b + b^3)*d^4*e^2*f*x^2 + 4*(a^2*b + b^3)*d^4*e^3*x + 8*(a^2*b + b^3)*c*d^3*e^3 - 12*(a^2*b + b^3)*c^2*d^2*e^2*f + 8*(a^2*b + b^3)*c^3*d*e*f^2 - 2*(a^2*b + b^3)*c^4*f^3)*cosh(d*x + c)^3 - 2*(108*(a^2*b + b^3)*d^4*f^3*x^4 + 432*(a^2*b + b^3)*d^4*e*f^2*x^3 + 648*(a^2*b + b^3)*d^4*e^2*f*x^2 + 432*(a^2*b + b^3)*d^4*e^3*x + 864*(a^2*b + b^3)*c*d^3*e^3 - 1296*(a^2*b + b^3)*c^2*d^2*e^2*f + 864*(a^2*b + b^3)*c^3*d*e*f^2 - 216*(a^2*b + b^3)*c^4*f^3 + 40*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c)^3 - 135*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 - 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 - 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c)^2 + 216*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 - 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 - 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 - (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f - 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c)^3 + 36*(3*a^3*d^3*e*f^2 + a^3*d^2*f^3)*x^2 + 108*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 + 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 + 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 + (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f + 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c)^2 + 6*(18*(3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + 18*(3*a^3 + 4*a*b^2)*d^3*e^3 + 54*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 108*(3*a^3 + 4*a*b^2)*d*e*f^2 - 10*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c)^4 + 108*(3*a^3 + 4*a*b^2)*f^3 + 45*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 - 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 - 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c)^3 + 54*((3*a^3 + 4*a*b^2)*d^3*e*f^2 + (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 - 108*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 - 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 - 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 - (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f - 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c)^2 + 54*((3*a^3 + 4*a*b^2)*d^3*e^2*f + 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x - 108*((a^2*b + b^3)*d^4*f^3*x^4 + 4*(a^2*b + b^3)*d^4*e*f^2*x^3 + 6*(a^2*b + b^3)*d^4*e^2*f*x^2 + 4*(a^2*b + b^3)*d^4*e^3*x + 8*(a^2*b + b^3)*c*d^3*e^3 - 12*(a^2*b + b^3)*c^2*d^2*e^2*f + 8*(a^2*b + b^3)*c^3*d*e*f^2 - 2*(a^2*b + b^3)*c^4*f^3)*cosh(d*x + c))*sinh(d*x + c)^2 + 12*(9*a^3*d^3*e^2*f + 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x + 27*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 + 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 + 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 + a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f + 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c) + 2592*(((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 2592*(((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*f^3*x^2 + 2*(a^2*b + b^3)*d^2*e*f^2*x + (a^2*b + b^3)*d^2*e^2*f)*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 864*(((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 864*(((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^3*e^3 - 3*(a^2*b + b^3)*c*d^2*e^2*f + 3*(a^2*b + b^3)*c^2*d*e*f^2 - (a^2*b + b^3)*c^3*f^3)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 864*(((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 864*(((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^3*f^3*x^3 + 3*(a^2*b + b^3)*d^3*e*f^2*x^2 + 3*(a^2*b + b^3)*d^3*e^2*f*x + 3*(a^2*b + b^3)*c*d^2*e^2*f - 3*(a^2*b + b^3)*c^2*d*e*f^2 + (a^2*b + b^3)*c^3*f^3)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 5184*((a^2*b + b^3)*f^3*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f^3*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f^3*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f^3*sinh(d*x + c)^3)*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 5184*((a^2*b + b^3)*f^3*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f^3*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f^3*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f^3*sinh(d*x + c)^3)*polylog(4, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 5184*(((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*sinh(d*x + c)^3)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 5184*(((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f^3*x + (a^2*b + b^3)*d*e*f^2)*sinh(d*x + c)^3)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 3*(36*a^2*b*d^3*f^3*x^3 + 36*a^2*b*d^3*e^3 + 54*a^2*b*d^2*e^2*f + 54*a^2*b*d*e*f^2 + 27*a^2*b*f^3 - 8*(9*a^3*d^3*f^3*x^3 + 9*a^3*d^3*e^3 - 9*a^3*d^2*e^2*f + 6*a^3*d*e*f^2 - 2*a^3*f^3 + 9*(3*a^3*d^3*e*f^2 - a^3*d^2*f^3)*x^2 + 3*(9*a^3*d^3*e^2*f - 6*a^3*d^2*e*f^2 + 2*a^3*d*f^3)*x)*cosh(d*x + c)^5 + 45*(4*a^2*b*d^3*f^3*x^3 + 4*a^2*b*d^3*e^3 - 6*a^2*b*d^2*e^2*f + 6*a^2*b*d*e*f^2 - 3*a^2*b*f^3 + 6*(2*a^2*b*d^3*e*f^2 - a^2*b*d^2*f^3)*x^2 + 6*(2*a^2*b*d^3*e^2*f - 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x)*cosh(d*x + c)^4 - 144*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 - 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 - 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 - (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f - 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c)^3 + 54*(2*a^2*b*d^3*e*f^2 + a^2*b*d^2*f^3)*x^2 - 216*((a^2*b + b^3)*d^4*f^3*x^4 + 4*(a^2*b + b^3)*d^4*e*f^2*x^3 + 6*(a^2*b + b^3)*d^4*e^2*f*x^2 + 4*(a^2*b + b^3)*d^4*e^3*x + 8*(a^2*b + b^3)*c*d^3*e^3 - 12*(a^2*b + b^3)*c^2*d^2*e^2*f + 8*(a^2*b + b^3)*c^3*d*e*f^2 - 2*(a^2*b + b^3)*c^4*f^3)*cosh(d*x + c)^2 + 54*(2*a^2*b*d^3*e^2*f + 2*a^2*b*d^2*e*f^2 + a^2*b*d*f^3)*x + 72*((3*a^3 + 4*a*b^2)*d^3*f^3*x^3 + (3*a^3 + 4*a*b^2)*d^3*e^3 + 3*(3*a^3 + 4*a*b^2)*d^2*e^2*f + 6*(3*a^3 + 4*a*b^2)*d*e*f^2 + 6*(3*a^3 + 4*a*b^2)*f^3 + 3*((3*a^3 + 4*a*b^2)*d^3*e*f^2 + (3*a^3 + 4*a*b^2)*d^2*f^3)*x^2 + 3*((3*a^3 + 4*a*b^2)*d^3*e^2*f + 2*(3*a^3 + 4*a*b^2)*d^2*e*f^2 + 2*(3*a^3 + 4*a*b^2)*d*f^3)*x)*cosh(d*x + c))*sinh(d*x + c))/(a^4*d^4*cosh(d*x + c)^3 + 3*a^4*d^4*cosh(d*x + c)^2*sinh(d*x + c) + 3*a^4*d^4*cosh(d*x + c)*sinh(d*x + c)^2 + a^4*d^4*sinh(d*x + c)^3)","C",0
27,1,4887,0,0.535269," ","integrate((f*x+e)^2*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","-\frac{18 \, a^{3} d^{2} f^{2} x^{2} + 18 \, a^{3} d^{2} e^{2} - 2 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{6} - 2 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \sinh\left(d x + c\right)^{6} + 12 \, a^{3} d e f + 27 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} - 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{5} + 3 \, {\left(18 \, a^{2} b d^{2} f^{2} x^{2} + 18 \, a^{2} b d^{2} e^{2} - 18 \, a^{2} b d e f + 9 \, a^{2} b f^{2} + 18 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x - 4 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} + 4 \, a^{3} f^{2} - 54 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + 18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 36 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 36 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 10 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 36 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x - 45 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} - 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} - 144 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{2} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} x + 6 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} - 6 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f + 2 \, {\left(a^{2} b + b^{3}\right)} c^{3} f^{2}\right)} \cosh\left(d x + c\right)^{3} - 2 \, {\left(72 \, {\left(a^{2} b + b^{3}\right)} d^{3} f^{2} x^{3} + 216 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f x^{2} + 216 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} x + 432 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} - 432 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f + 144 \, {\left(a^{2} b + b^{3}\right)} c^{3} f^{2} + 20 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{3} - 135 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} - 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 108 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 54 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(9 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + 9 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 5 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{4} + 18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 45 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} - 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{3} + 18 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} - 54 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{2} + 18 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x - 72 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{2} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} x + 6 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} - 6 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f + 2 \, {\left(a^{2} b + b^{3}\right)} c^{3} f^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + 12 \, {\left(3 \, a^{3} d^{2} e f + a^{3} d f^{2}\right)} x + 27 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} + 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f + a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 864 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f^{2} x + {\left(a^{2} b + b^{3}\right)} d e f\right)} \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) + 432 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 432 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} e^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} c d e f + {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) + 432 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) + 432 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d^{2} f^{2} x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e f x + 2 \, {\left(a^{2} b + b^{3}\right)} c d e f - {\left(a^{2} b + b^{3}\right)} c^{2} f^{2}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 864 \, {\left({\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f^{2} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) - 864 \, {\left({\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f^{2} \sinh\left(d x + c\right)^{3}\right)} {\rm polylog}\left(3, \frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}}}{a}\right) + 3 \, {\left(18 \, a^{2} b d^{2} f^{2} x^{2} + 18 \, a^{2} b d^{2} e^{2} + 18 \, a^{2} b d e f - 4 \, {\left(9 \, a^{3} d^{2} f^{2} x^{2} + 9 \, a^{3} d^{2} e^{2} - 6 \, a^{3} d e f + 2 \, a^{3} f^{2} + 6 \, {\left(3 \, a^{3} d^{2} e f - a^{3} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{5} + 9 \, a^{2} b f^{2} + 45 \, {\left(2 \, a^{2} b d^{2} f^{2} x^{2} + 2 \, a^{2} b d^{2} e^{2} - 2 \, a^{2} b d e f + a^{2} b f^{2} + 2 \, {\left(2 \, a^{2} b d^{2} e f - a^{2} b d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{4} - 72 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)^{3} - 144 \, {\left({\left(a^{2} b + b^{3}\right)} d^{3} f^{2} x^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e f x^{2} + 3 \, {\left(a^{2} b + b^{3}\right)} d^{3} e^{2} x + 6 \, {\left(a^{2} b + b^{3}\right)} c d^{2} e^{2} - 6 \, {\left(a^{2} b + b^{3}\right)} c^{2} d e f + 2 \, {\left(a^{2} b + b^{3}\right)} c^{3} f^{2}\right)} \cosh\left(d x + c\right)^{2} + 18 \, {\left(2 \, a^{2} b d^{2} e f + a^{2} b d f^{2}\right)} x + 36 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} f^{2} x^{2} + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e^{2} + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e f + 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f^{2} + 2 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d^{2} e f + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f^{2}\right)} x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{432 \, {\left(a^{4} d^{3} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} d^{3} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, a^{4} d^{3} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + a^{4} d^{3} \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"-1/432*(18*a^3*d^2*f^2*x^2 + 18*a^3*d^2*e^2 - 2*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c)^6 - 2*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*sinh(d*x + c)^6 + 12*a^3*d*e*f + 27*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 - 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x)*cosh(d*x + c)^5 + 3*(18*a^2*b*d^2*f^2*x^2 + 18*a^2*b*d^2*e^2 - 18*a^2*b*d*e*f + 9*a^2*b*f^2 + 18*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x - 4*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c)^5 + 4*a^3*f^2 - 54*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 - 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f - (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c)^4 - 3*(18*(3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + 18*(3*a^3 + 4*a*b^2)*d^2*e^2 - 36*(3*a^3 + 4*a*b^2)*d*e*f + 36*(3*a^3 + 4*a*b^2)*f^2 + 10*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c)^2 + 36*((3*a^3 + 4*a*b^2)*d^2*e*f - (3*a^3 + 4*a*b^2)*d*f^2)*x - 45*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 - 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c)^4 - 144*((a^2*b + b^3)*d^3*f^2*x^3 + 3*(a^2*b + b^3)*d^3*e*f*x^2 + 3*(a^2*b + b^3)*d^3*e^2*x + 6*(a^2*b + b^3)*c*d^2*e^2 - 6*(a^2*b + b^3)*c^2*d*e*f + 2*(a^2*b + b^3)*c^3*f^2)*cosh(d*x + c)^3 - 2*(72*(a^2*b + b^3)*d^3*f^2*x^3 + 216*(a^2*b + b^3)*d^3*e*f*x^2 + 216*(a^2*b + b^3)*d^3*e^2*x + 432*(a^2*b + b^3)*c*d^2*e^2 - 432*(a^2*b + b^3)*c^2*d*e*f + 144*(a^2*b + b^3)*c^3*f^2 + 20*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c)^3 - 135*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 - 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x)*cosh(d*x + c)^2 + 108*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 - 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f - (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c)^3 + 54*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 + 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f + (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c)^2 + 6*(9*(3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + 9*(3*a^3 + 4*a*b^2)*d^2*e^2 - 5*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c)^4 + 18*(3*a^3 + 4*a*b^2)*d*e*f + 45*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 - 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x)*cosh(d*x + c)^3 + 18*(3*a^3 + 4*a*b^2)*f^2 - 54*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 - 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f - (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c)^2 + 18*((3*a^3 + 4*a*b^2)*d^2*e*f + (3*a^3 + 4*a*b^2)*d*f^2)*x - 72*((a^2*b + b^3)*d^3*f^2*x^3 + 3*(a^2*b + b^3)*d^3*e*f*x^2 + 3*(a^2*b + b^3)*d^3*e^2*x + 6*(a^2*b + b^3)*c*d^2*e^2 - 6*(a^2*b + b^3)*c^2*d*e*f + 2*(a^2*b + b^3)*c^3*f^2)*cosh(d*x + c))*sinh(d*x + c)^2 + 12*(3*a^3*d^2*e*f + a^3*d*f^2)*x + 27*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 + 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f + a^2*b*d*f^2)*x)*cosh(d*x + c) + 864*(((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 864*(((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f^2*x + (a^2*b + b^3)*d*e*f)*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) + 432*(((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 432*(((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*e^2 - 2*(a^2*b + b^3)*c*d*e*f + (a^2*b + b^3)*c^2*f^2)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) + 432*(((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) + 432*(((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d^2*f^2*x^2 + 2*(a^2*b + b^3)*d^2*e*f*x + 2*(a^2*b + b^3)*c*d*e*f - (a^2*b + b^3)*c^2*f^2)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 864*((a^2*b + b^3)*f^2*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f^2*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f^2*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f^2*sinh(d*x + c)^3)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) - 864*((a^2*b + b^3)*f^2*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f^2*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f^2*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f^2*sinh(d*x + c)^3)*polylog(3, (b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2))/a) + 3*(18*a^2*b*d^2*f^2*x^2 + 18*a^2*b*d^2*e^2 + 18*a^2*b*d*e*f - 4*(9*a^3*d^2*f^2*x^2 + 9*a^3*d^2*e^2 - 6*a^3*d*e*f + 2*a^3*f^2 + 6*(3*a^3*d^2*e*f - a^3*d*f^2)*x)*cosh(d*x + c)^5 + 9*a^2*b*f^2 + 45*(2*a^2*b*d^2*f^2*x^2 + 2*a^2*b*d^2*e^2 - 2*a^2*b*d*e*f + a^2*b*f^2 + 2*(2*a^2*b*d^2*e*f - a^2*b*d*f^2)*x)*cosh(d*x + c)^4 - 72*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 - 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f - (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c)^3 - 144*((a^2*b + b^3)*d^3*f^2*x^3 + 3*(a^2*b + b^3)*d^3*e*f*x^2 + 3*(a^2*b + b^3)*d^3*e^2*x + 6*(a^2*b + b^3)*c*d^2*e^2 - 6*(a^2*b + b^3)*c^2*d*e*f + 2*(a^2*b + b^3)*c^3*f^2)*cosh(d*x + c)^2 + 18*(2*a^2*b*d^2*e*f + a^2*b*d*f^2)*x + 36*((3*a^3 + 4*a*b^2)*d^2*f^2*x^2 + (3*a^3 + 4*a*b^2)*d^2*e^2 + 2*(3*a^3 + 4*a*b^2)*d*e*f + 2*(3*a^3 + 4*a*b^2)*f^2 + 2*((3*a^3 + 4*a*b^2)*d^2*e*f + (3*a^3 + 4*a*b^2)*d*f^2)*x)*cosh(d*x + c))*sinh(d*x + c))/(a^4*d^3*cosh(d*x + c)^3 + 3*a^4*d^3*cosh(d*x + c)^2*sinh(d*x + c) + 3*a^4*d^3*cosh(d*x + c)*sinh(d*x + c)^2 + a^4*d^3*sinh(d*x + c)^3)","C",0
28,1,2465,0,0.527037," ","integrate((f*x+e)*cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)^{6} + 2 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \sinh\left(d x + c\right)^{6} - 6 \, a^{3} d f x - 9 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e - a^{2} b f\right)} \cosh\left(d x + c\right)^{5} - 3 \, {\left(6 \, a^{2} b d f x + 6 \, a^{2} b d e - 3 \, a^{2} b f - 4 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{5} - 6 \, a^{3} d e + 18 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e + 10 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)^{2} - 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f - 15 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e - a^{2} b f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{4} - 2 \, a^{3} f + 72 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e x + 4 \, {\left(a^{2} b + b^{3}\right)} c d e - 2 \, {\left(a^{2} b + b^{3}\right)} c^{2} f\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(36 \, {\left(a^{2} b + b^{3}\right)} d^{2} f x^{2} + 72 \, {\left(a^{2} b + b^{3}\right)} d^{2} e x + 144 \, {\left(a^{2} b + b^{3}\right)} c d e - 72 \, {\left(a^{2} b + b^{3}\right)} c^{2} f + 20 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)^{3} - 45 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e - a^{2} b f\right)} \cosh\left(d x + c\right)^{2} + 36 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 18 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)^{2} + 6 \, {\left(5 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x - 15 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e - a^{2} b f\right)} \cosh\left(d x + c\right)^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e + 18 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)^{2} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f + 36 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e x + 4 \, {\left(a^{2} b + b^{3}\right)} c d e - 2 \, {\left(a^{2} b + b^{3}\right)} c^{2} f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - 9 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e + a^{2} b f\right)} \cosh\left(d x + c\right) - 144 \, {\left({\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 144 \, {\left({\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} f \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} f \sinh\left(d x + c\right)^{3}\right)} {\rm Li}_2\left(\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a} + 1\right) - 144 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) + 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) - 144 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d e - {\left(a^{2} b + b^{3}\right)} c f\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(2 \, a \cosh\left(d x + c\right) + 2 \, a \sinh\left(d x + c\right) - 2 \, a \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} + 2 \, b\right) - 144 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) + {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 144 \, {\left({\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left({\left(a^{2} b + b^{3}\right)} d f x + {\left(a^{2} b + b^{3}\right)} c f\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(-\frac{b \cosh\left(d x + c\right) + b \sinh\left(d x + c\right) - {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right)\right)} \sqrt{\frac{a^{2} + b^{2}}{a^{2}}} - a}{a}\right) - 3 \, {\left(6 \, a^{2} b d f x - 4 \, {\left(3 \, a^{3} d f x + 3 \, a^{3} d e - a^{3} f\right)} \cosh\left(d x + c\right)^{5} + 6 \, a^{2} b d e + 15 \, {\left(2 \, a^{2} b d f x + 2 \, a^{2} b d e - a^{2} b f\right)} \cosh\left(d x + c\right)^{4} + 3 \, a^{2} b f - 24 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e - {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)^{3} - 72 \, {\left({\left(a^{2} b + b^{3}\right)} d^{2} f x^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} d^{2} e x + 4 \, {\left(a^{2} b + b^{3}\right)} c d e - 2 \, {\left(a^{2} b + b^{3}\right)} c^{2} f\right)} \cosh\left(d x + c\right)^{2} + 12 \, {\left({\left(3 \, a^{3} + 4 \, a b^{2}\right)} d f x + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} d e + {\left(3 \, a^{3} + 4 \, a b^{2}\right)} f\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{144 \, {\left(a^{4} d^{2} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} d^{2} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, a^{4} d^{2} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + a^{4} d^{2} \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"1/144*(2*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c)^6 + 2*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*sinh(d*x + c)^6 - 6*a^3*d*f*x - 9*(2*a^2*b*d*f*x + 2*a^2*b*d*e - a^2*b*f)*cosh(d*x + c)^5 - 3*(6*a^2*b*d*f*x + 6*a^2*b*d*e - 3*a^2*b*f - 4*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c))*sinh(d*x + c)^5 - 6*a^3*d*e + 18*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e - (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c)^4 + 3*(6*(3*a^3 + 4*a*b^2)*d*f*x + 6*(3*a^3 + 4*a*b^2)*d*e + 10*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c)^2 - 6*(3*a^3 + 4*a*b^2)*f - 15*(2*a^2*b*d*f*x + 2*a^2*b*d*e - a^2*b*f)*cosh(d*x + c))*sinh(d*x + c)^4 - 2*a^3*f + 72*((a^2*b + b^3)*d^2*f*x^2 + 2*(a^2*b + b^3)*d^2*e*x + 4*(a^2*b + b^3)*c*d*e - 2*(a^2*b + b^3)*c^2*f)*cosh(d*x + c)^3 + 2*(36*(a^2*b + b^3)*d^2*f*x^2 + 72*(a^2*b + b^3)*d^2*e*x + 144*(a^2*b + b^3)*c*d*e - 72*(a^2*b + b^3)*c^2*f + 20*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c)^3 - 45*(2*a^2*b*d*f*x + 2*a^2*b*d*e - a^2*b*f)*cosh(d*x + c)^2 + 36*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e - (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c))*sinh(d*x + c)^3 - 18*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e + (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c)^2 + 6*(5*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c)^4 - 3*(3*a^3 + 4*a*b^2)*d*f*x - 15*(2*a^2*b*d*f*x + 2*a^2*b*d*e - a^2*b*f)*cosh(d*x + c)^3 - 3*(3*a^3 + 4*a*b^2)*d*e + 18*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e - (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c)^2 - 3*(3*a^3 + 4*a*b^2)*f + 36*((a^2*b + b^3)*d^2*f*x^2 + 2*(a^2*b + b^3)*d^2*e*x + 4*(a^2*b + b^3)*c*d*e - 2*(a^2*b + b^3)*c^2*f)*cosh(d*x + c))*sinh(d*x + c)^2 - 9*(2*a^2*b*d*f*x + 2*a^2*b*d*e + a^2*b*f)*cosh(d*x + c) - 144*((a^2*b + b^3)*f*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 144*((a^2*b + b^3)*f*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*f*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*f*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*f*sinh(d*x + c)^3)*dilog((b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a + 1) - 144*(((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) + 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) - 144*(((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*e - (a^2*b + b^3)*c*f)*sinh(d*x + c)^3)*log(2*a*cosh(d*x + c) + 2*a*sinh(d*x + c) - 2*a*sqrt((a^2 + b^2)/a^2) + 2*b) - 144*(((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) + (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 144*(((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)^3 + 3*((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)^2*sinh(d*x + c) + 3*((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*cosh(d*x + c)*sinh(d*x + c)^2 + ((a^2*b + b^3)*d*f*x + (a^2*b + b^3)*c*f)*sinh(d*x + c)^3)*log(-(b*cosh(d*x + c) + b*sinh(d*x + c) - (a*cosh(d*x + c) + a*sinh(d*x + c))*sqrt((a^2 + b^2)/a^2) - a)/a) - 3*(6*a^2*b*d*f*x - 4*(3*a^3*d*f*x + 3*a^3*d*e - a^3*f)*cosh(d*x + c)^5 + 6*a^2*b*d*e + 15*(2*a^2*b*d*f*x + 2*a^2*b*d*e - a^2*b*f)*cosh(d*x + c)^4 + 3*a^2*b*f - 24*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e - (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c)^3 - 72*((a^2*b + b^3)*d^2*f*x^2 + 2*(a^2*b + b^3)*d^2*e*x + 4*(a^2*b + b^3)*c*d*e - 2*(a^2*b + b^3)*c^2*f)*cosh(d*x + c)^2 + 12*((3*a^3 + 4*a*b^2)*d*f*x + (3*a^3 + 4*a*b^2)*d*e + (3*a^3 + 4*a*b^2)*f)*cosh(d*x + c))*sinh(d*x + c))/(a^4*d^2*cosh(d*x + c)^3 + 3*a^4*d^2*cosh(d*x + c)^2*sinh(d*x + c) + 3*a^4*d^2*cosh(d*x + c)*sinh(d*x + c)^2 + a^4*d^2*sinh(d*x + c)^3)","B",0
29,1,652,0,0.462192," ","integrate(cosh(d*x+c)^3/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","\frac{a^{3} \cosh\left(d x + c\right)^{6} + a^{3} \sinh\left(d x + c\right)^{6} - 3 \, a^{2} b \cosh\left(d x + c\right)^{5} + 24 \, {\left(a^{2} b + b^{3}\right)} d x \cosh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{3} \cosh\left(d x + c\right) - a^{2} b\right)} \sinh\left(d x + c\right)^{5} + 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(5 \, a^{3} \cosh\left(d x + c\right)^{2} - 5 \, a^{2} b \cosh\left(d x + c\right) + 3 \, a^{3} + 4 \, a b^{2}\right)} \sinh\left(d x + c\right)^{4} - 3 \, a^{2} b \cosh\left(d x + c\right) + 2 \, {\left(10 \, a^{3} \cosh\left(d x + c\right)^{3} - 15 \, a^{2} b \cosh\left(d x + c\right)^{2} + 12 \, {\left(a^{2} b + b^{3}\right)} d x + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - a^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, a^{3} \cosh\left(d x + c\right)^{4} - 10 \, a^{2} b \cosh\left(d x + c\right)^{3} + 24 \, {\left(a^{2} b + b^{3}\right)} d x \cosh\left(d x + c\right) - 3 \, a^{3} - 4 \, a b^{2} + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} - 24 \, {\left({\left(a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + {\left(a^{2} b + b^{3}\right)} \sinh\left(d x + c\right)^{3}\right)} \log\left(\frac{2 \, {\left(a \sinh\left(d x + c\right) + b\right)}}{\cosh\left(d x + c\right) - \sinh\left(d x + c\right)}\right) + 3 \, {\left(2 \, a^{3} \cosh\left(d x + c\right)^{5} - 5 \, a^{2} b \cosh\left(d x + c\right)^{4} + 24 \, {\left(a^{2} b + b^{3}\right)} d x \cosh\left(d x + c\right)^{2} + 4 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)^{3} - a^{2} b - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{24 \, {\left(a^{4} d \cosh\left(d x + c\right)^{3} + 3 \, a^{4} d \cosh\left(d x + c\right)^{2} \sinh\left(d x + c\right) + 3 \, a^{4} d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{2} + a^{4} d \sinh\left(d x + c\right)^{3}\right)}}"," ",0,"1/24*(a^3*cosh(d*x + c)^6 + a^3*sinh(d*x + c)^6 - 3*a^2*b*cosh(d*x + c)^5 + 24*(a^2*b + b^3)*d*x*cosh(d*x + c)^3 + 3*(2*a^3*cosh(d*x + c) - a^2*b)*sinh(d*x + c)^5 + 3*(3*a^3 + 4*a*b^2)*cosh(d*x + c)^4 + 3*(5*a^3*cosh(d*x + c)^2 - 5*a^2*b*cosh(d*x + c) + 3*a^3 + 4*a*b^2)*sinh(d*x + c)^4 - 3*a^2*b*cosh(d*x + c) + 2*(10*a^3*cosh(d*x + c)^3 - 15*a^2*b*cosh(d*x + c)^2 + 12*(a^2*b + b^3)*d*x + 6*(3*a^3 + 4*a*b^2)*cosh(d*x + c))*sinh(d*x + c)^3 - a^3 - 3*(3*a^3 + 4*a*b^2)*cosh(d*x + c)^2 + 3*(5*a^3*cosh(d*x + c)^4 - 10*a^2*b*cosh(d*x + c)^3 + 24*(a^2*b + b^3)*d*x*cosh(d*x + c) - 3*a^3 - 4*a*b^2 + 6*(3*a^3 + 4*a*b^2)*cosh(d*x + c)^2)*sinh(d*x + c)^2 - 24*((a^2*b + b^3)*cosh(d*x + c)^3 + 3*(a^2*b + b^3)*cosh(d*x + c)^2*sinh(d*x + c) + 3*(a^2*b + b^3)*cosh(d*x + c)*sinh(d*x + c)^2 + (a^2*b + b^3)*sinh(d*x + c)^3)*log(2*(a*sinh(d*x + c) + b)/(cosh(d*x + c) - sinh(d*x + c))) + 3*(2*a^3*cosh(d*x + c)^5 - 5*a^2*b*cosh(d*x + c)^4 + 24*(a^2*b + b^3)*d*x*cosh(d*x + c)^2 + 4*(3*a^3 + 4*a*b^2)*cosh(d*x + c)^3 - a^2*b - 2*(3*a^3 + 4*a*b^2)*cosh(d*x + c))*sinh(d*x + c))/(a^4*d*cosh(d*x + c)^3 + 3*a^4*d*cosh(d*x + c)^2*sinh(d*x + c) + 3*a^4*d*cosh(d*x + c)*sinh(d*x + c)^2 + a^4*d*sinh(d*x + c)^3)","B",0
