1,1,493,0,0.452574," ","integrate((d*x+c)^3*sech(b*x+a),x, algorithm=""fricas"")","\frac{6 i \, d^{3} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - 6 i \, d^{3} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(3 i \, b^{2} d^{3} x^{2} + 6 i \, b^{2} c d^{2} x + 3 i \, b^{2} c^{2} d\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-3 i \, b^{2} d^{3} x^{2} - 6 i \, b^{2} c d^{2} x - 3 i \, b^{2} c^{2} d\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(i \, b^{3} c^{3} - 3 i \, a b^{2} c^{2} d + 3 i \, a^{2} b c d^{2} - i \, a^{3} d^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-i \, b^{3} c^{3} + 3 i \, a b^{2} c^{2} d - 3 i \, a^{2} b c d^{2} + i \, a^{3} d^{3}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(-i \, b^{3} d^{3} x^{3} - 3 i \, b^{3} c d^{2} x^{2} - 3 i \, b^{3} c^{2} d x - 3 i \, a b^{2} c^{2} d + 3 i \, a^{2} b c d^{2} - i \, a^{3} d^{3}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(i \, b^{3} d^{3} x^{3} + 3 i \, b^{3} c d^{2} x^{2} + 3 i \, b^{3} c^{2} d x + 3 i \, a b^{2} c^{2} d - 3 i \, a^{2} b c d^{2} + i \, a^{3} d^{3}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(-6 i \, b d^{3} x - 6 i \, b c d^{2}\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(6 i \, b d^{3} x + 6 i \, b c d^{2}\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{b^{4}}"," ",0,"(6*I*d^3*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) - 6*I*d^3*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + (3*I*b^2*d^3*x^2 + 6*I*b^2*c*d^2*x + 3*I*b^2*c^2*d)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-3*I*b^2*d^3*x^2 - 6*I*b^2*c*d^2*x - 3*I*b^2*c^2*d)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (I*b^3*c^3 - 3*I*a*b^2*c^2*d + 3*I*a^2*b*c*d^2 - I*a^3*d^3)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-I*b^3*c^3 + 3*I*a*b^2*c^2*d - 3*I*a^2*b*c*d^2 + I*a^3*d^3)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (-I*b^3*d^3*x^3 - 3*I*b^3*c*d^2*x^2 - 3*I*b^3*c^2*d*x - 3*I*a*b^2*c^2*d + 3*I*a^2*b*c*d^2 - I*a^3*d^3)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (I*b^3*d^3*x^3 + 3*I*b^3*c*d^2*x^2 + 3*I*b^3*c^2*d*x + 3*I*a*b^2*c^2*d - 3*I*a^2*b*c*d^2 + I*a^3*d^3)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (-6*I*b*d^3*x - 6*I*b*c*d^2)*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (6*I*b*d^3*x + 6*I*b*c*d^2)*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)))/b^4","C",0
2,1,303,0,0.479280," ","integrate((d*x+c)^2*sech(b*x+a),x, algorithm=""fricas"")","\frac{-2 i \, d^{2} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + 2 i \, d^{2} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(2 i \, b d^{2} x + 2 i \, b c d\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-2 i \, b d^{2} x - 2 i \, b c d\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(i \, b^{2} c^{2} - 2 i \, a b c d + i \, a^{2} d^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-i \, b^{2} c^{2} + 2 i \, a b c d - i \, a^{2} d^{2}\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(-i \, b^{2} d^{2} x^{2} - 2 i \, b^{2} c d x - 2 i \, a b c d + i \, a^{2} d^{2}\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(i \, b^{2} d^{2} x^{2} + 2 i \, b^{2} c d x + 2 i \, a b c d - i \, a^{2} d^{2}\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right)}{b^{3}}"," ",0,"(-2*I*d^2*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + 2*I*d^2*polylog(3, -I*cosh(b*x + a) - I*sinh(b*x + a)) + (2*I*b*d^2*x + 2*I*b*c*d)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-2*I*b*d^2*x - 2*I*b*c*d)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (I*b^2*c^2 - 2*I*a*b*c*d + I*a^2*d^2)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-I*b^2*c^2 + 2*I*a*b*c*d - I*a^2*d^2)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (-I*b^2*d^2*x^2 - 2*I*b^2*c*d*x - 2*I*a*b*c*d + I*a^2*d^2)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (I*b^2*d^2*x^2 + 2*I*b^2*c*d*x + 2*I*a*b*c*d - I*a^2*d^2)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/b^3","C",0
3,1,157,0,0.454969," ","integrate((d*x+c)*sech(b*x+a),x, algorithm=""fricas"")","\frac{i \, d {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) - i \, d {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(i \, b c - i \, a d\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + i\right) + {\left(-i \, b c + i \, a d\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - i\right) + {\left(-i \, b d x - i \, a d\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(i \, b d x + i \, a d\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right)}{b^{2}}"," ",0,"(I*d*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) - I*d*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (I*b*c - I*a*d)*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-I*b*c + I*a*d)*log(cosh(b*x + a) + sinh(b*x + a) - I) + (-I*b*d*x - I*a*d)*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (I*b*d*x + I*a*d)*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/b^2","B",0
4,0,0,0,0.450822," ","integrate(sech(b*x+a)/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)}{d x + c}, x\right)"," ",0,"integral(sech(b*x + a)/(d*x + c), x)","F",0
5,1,1332,0,0.497450," ","integrate((d*x+c)^3*sech(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(i \, \cosh\left(b x + a\right) + i \, \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(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\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) + i\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) - i\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(i \, \cosh\left(b x + a\right) + i \, \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(-i \, \cosh\left(b x + a\right) - i \, \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, i \, \cosh\left(b x + a\right) + i \, \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, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right)}{b^{4} \cosh\left(b x + a\right)^{2} + 2 \, b^{4} \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b^{4} \sinh\left(b x + a\right)^{2} + b^{4}}"," ",0,"-(2*b^3*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(I*cosh(b*x + a) + I*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(-I*cosh(b*x + a) - I*sinh(b*x + a)) + 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) + I) + 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) - I) + 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(I*cosh(b*x + a) + I*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(-I*cosh(b*x + a) - I*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, I*cosh(b*x + a) + I*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, -I*cosh(b*x + a) - I*sinh(b*x + a)))/(b^4*cosh(b*x + a)^2 + 2*b^4*cosh(b*x + a)*sinh(b*x + a) + b^4*sinh(b*x + a)^2 + b^4)","C",0
6,1,715,0,0.457766," ","integrate((d*x+c)^2*sech(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(i \, \cosh\left(b x + a\right) + i \, \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(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\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) + i\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) - i\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(i \, \cosh\left(b x + a\right) + i \, \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(-i \, \cosh\left(b x + a\right) - i \, \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(I*cosh(b*x + a) + I*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(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (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) + I) + (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) - I) + (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(I*cosh(b*x + a) + I*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(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1))/(b^3*cosh(b*x + a)^2 + 2*b^3*cosh(b*x + a)*sinh(b*x + a) + b^3*sinh(b*x + a)^2 + b^3)","C",0
7,1,161,0,0.426633," ","integrate((d*x+c)*sech(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 \, \cosh\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*cosh(b*x + a)/(cosh(b*x + a) - sinh(b*x + a))))/(b^2*cosh(b*x + a)^2 + 2*b^2*cosh(b*x + a)*sinh(b*x + a) + b^2*sinh(b*x + a)^2 + b^2)","B",0
8,0,0,0,0.409276," ","integrate(sech(b*x+a)^2/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{2}}{d x + c}, x\right)"," ",0,"integral(sech(b*x + a)^2/(d*x + c), x)","F",0
9,1,4735,0,0.560570," ","integrate((d*x+c)^3*sech(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) + {\left(3 i \, b^{2} d^{3} x^{2} + 6 i \, b^{2} c d^{2} x + 3 i \, b^{2} c^{2} d + {\left(3 i \, b^{2} d^{3} x^{2} + 6 i \, b^{2} c d^{2} x + 3 i \, b^{2} c^{2} d - 6 i \, d^{3}\right)} \cosh\left(b x + a\right)^{4} + {\left(12 i \, b^{2} d^{3} x^{2} + 24 i \, b^{2} c d^{2} x + 12 i \, b^{2} c^{2} d - 24 i \, d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(3 i \, b^{2} d^{3} x^{2} + 6 i \, b^{2} c d^{2} x + 3 i \, b^{2} c^{2} d - 6 i \, d^{3}\right)} \sinh\left(b x + a\right)^{4} - 6 i \, d^{3} + {\left(6 i \, b^{2} d^{3} x^{2} + 12 i \, b^{2} c d^{2} x + 6 i \, b^{2} c^{2} d - 12 i \, d^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(6 i \, b^{2} d^{3} x^{2} + 12 i \, b^{2} c d^{2} x + 6 i \, b^{2} c^{2} d - 12 i \, d^{3} + {\left(18 i \, b^{2} d^{3} x^{2} + 36 i \, b^{2} c d^{2} x + 18 i \, b^{2} c^{2} d - 36 i \, d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(12 i \, b^{2} d^{3} x^{2} + 24 i \, b^{2} c d^{2} x + 12 i \, b^{2} c^{2} d - 24 i \, d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(12 i \, b^{2} d^{3} x^{2} + 24 i \, b^{2} c d^{2} x + 12 i \, b^{2} c^{2} d - 24 i \, d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-3 i \, b^{2} d^{3} x^{2} - 6 i \, b^{2} c d^{2} x - 3 i \, b^{2} c^{2} d + {\left(-3 i \, b^{2} d^{3} x^{2} - 6 i \, b^{2} c d^{2} x - 3 i \, b^{2} c^{2} d + 6 i \, d^{3}\right)} \cosh\left(b x + a\right)^{4} + {\left(-12 i \, b^{2} d^{3} x^{2} - 24 i \, b^{2} c d^{2} x - 12 i \, b^{2} c^{2} d + 24 i \, d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-3 i \, b^{2} d^{3} x^{2} - 6 i \, b^{2} c d^{2} x - 3 i \, b^{2} c^{2} d + 6 i \, d^{3}\right)} \sinh\left(b x + a\right)^{4} + 6 i \, d^{3} + {\left(-6 i \, b^{2} d^{3} x^{2} - 12 i \, b^{2} c d^{2} x - 6 i \, b^{2} c^{2} d + 12 i \, d^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(-6 i \, b^{2} d^{3} x^{2} - 12 i \, b^{2} c d^{2} x - 6 i \, b^{2} c^{2} d + 12 i \, d^{3} + {\left(-18 i \, b^{2} d^{3} x^{2} - 36 i \, b^{2} c d^{2} x - 18 i \, b^{2} c^{2} d + 36 i \, d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-12 i \, b^{2} d^{3} x^{2} - 24 i \, b^{2} c d^{2} x - 12 i \, b^{2} c^{2} d + 24 i \, d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(-12 i \, b^{2} d^{3} x^{2} - 24 i \, b^{2} c d^{2} x - 12 i \, b^{2} c^{2} d + 24 i \, d^{3}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(i \, b^{3} c^{3} - 3 i \, a b^{2} c^{2} d + 3 i \, {\left(a^{2} - 2\right)} b c d^{2} + {\left(i \, b^{3} c^{3} - 3 i \, a b^{2} c^{2} d + 3 i \, {\left(a^{2} - 2\right)} b c d^{2} - i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{3} c^{3} - 12 i \, a b^{2} c^{2} d + 12 i \, {\left(a^{2} - 2\right)} b c d^{2} - 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b^{3} c^{3} - 3 i \, a b^{2} c^{2} d + 3 i \, {\left(a^{2} - 2\right)} b c d^{2} - i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \sinh\left(b x + a\right)^{4} - i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(2 i \, b^{3} c^{3} - 6 i \, a b^{2} c^{2} d + 6 i \, {\left(a^{2} - 2\right)} b c d^{2} - 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{3} c^{3} - 6 i \, a b^{2} c^{2} d + 6 i \, {\left(a^{2} - 2\right)} b c d^{2} - 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(6 i \, b^{3} c^{3} - 18 i \, a b^{2} c^{2} d + 18 i \, {\left(a^{2} - 2\right)} b c d^{2} - 6 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(4 i \, b^{3} c^{3} - 12 i \, a b^{2} c^{2} d + 12 i \, {\left(a^{2} - 2\right)} b c d^{2} - 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{3} c^{3} - 12 i \, a b^{2} c^{2} d + 12 i \, {\left(a^{2} - 2\right)} b c d^{2} - 4 i \, {\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) + i\right) + {\left(-i \, b^{3} c^{3} + 3 i \, a b^{2} c^{2} d - 3 i \, {\left(a^{2} - 2\right)} b c d^{2} + {\left(-i \, b^{3} c^{3} + 3 i \, a b^{2} c^{2} d - 3 i \, {\left(a^{2} - 2\right)} b c d^{2} + i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{3} c^{3} + 12 i \, a b^{2} c^{2} d - 12 i \, {\left(a^{2} - 2\right)} b c d^{2} + 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b^{3} c^{3} + 3 i \, a b^{2} c^{2} d - 3 i \, {\left(a^{2} - 2\right)} b c d^{2} + i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \sinh\left(b x + a\right)^{4} + i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(-2 i \, b^{3} c^{3} + 6 i \, a b^{2} c^{2} d - 6 i \, {\left(a^{2} - 2\right)} b c d^{2} + 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{3} c^{3} + 6 i \, a b^{2} c^{2} d - 6 i \, {\left(a^{2} - 2\right)} b c d^{2} + 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(-6 i \, b^{3} c^{3} + 18 i \, a b^{2} c^{2} d - 18 i \, {\left(a^{2} - 2\right)} b c d^{2} + 6 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-4 i \, b^{3} c^{3} + 12 i \, a b^{2} c^{2} d - 12 i \, {\left(a^{2} - 2\right)} b c d^{2} + 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3}\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{3} c^{3} + 12 i \, a b^{2} c^{2} d - 12 i \, {\left(a^{2} - 2\right)} b c d^{2} + 4 i \, {\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) - i\right) + {\left(-i \, b^{3} d^{3} x^{3} - 3 i \, b^{3} c d^{2} x^{2} - 3 i \, a b^{2} c^{2} d + 3 i \, a^{2} b c d^{2} + {\left(-i \, b^{3} d^{3} x^{3} - 3 i \, b^{3} c d^{2} x^{2} - 3 i \, a b^{2} c^{2} d + 3 i \, a^{2} b c d^{2} - i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{3} d^{3} x^{3} - 12 i \, b^{3} c d^{2} x^{2} - 12 i \, a b^{2} c^{2} d + 12 i \, a^{2} b c d^{2} - 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 12 i \, {\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(-i \, b^{3} d^{3} x^{3} - 3 i \, b^{3} c d^{2} x^{2} - 3 i \, a b^{2} c^{2} d + 3 i \, a^{2} b c d^{2} - i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{4} - i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(-2 i \, b^{3} d^{3} x^{3} - 6 i \, b^{3} c d^{2} x^{2} - 6 i \, a b^{2} c^{2} d + 6 i \, a^{2} b c d^{2} - 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 6 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{3} d^{3} x^{3} - 6 i \, b^{3} c d^{2} x^{2} - 6 i \, a b^{2} c^{2} d + 6 i \, a^{2} b c d^{2} - 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(-6 i \, b^{3} d^{3} x^{3} - 18 i \, b^{3} c d^{2} x^{2} - 18 i \, a b^{2} c^{2} d + 18 i \, a^{2} b c d^{2} - 6 i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 18 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} - 6 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{2} - 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x + {\left({\left(-4 i \, b^{3} d^{3} x^{3} - 12 i \, b^{3} c d^{2} x^{2} - 12 i \, a b^{2} c^{2} d + 12 i \, a^{2} b c d^{2} - 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 12 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{3} d^{3} x^{3} - 12 i \, b^{3} c d^{2} x^{2} - 12 i \, a b^{2} c^{2} d + 12 i \, a^{2} b c d^{2} - 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} - 12 i \, {\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(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(i \, b^{3} d^{3} x^{3} + 3 i \, b^{3} c d^{2} x^{2} + 3 i \, a b^{2} c^{2} d - 3 i \, a^{2} b c d^{2} + {\left(i \, b^{3} d^{3} x^{3} + 3 i \, b^{3} c d^{2} x^{2} + 3 i \, a b^{2} c^{2} d - 3 i \, a^{2} b c d^{2} + i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{3} d^{3} x^{3} + 12 i \, b^{3} c d^{2} x^{2} + 12 i \, a b^{2} c^{2} d - 12 i \, a^{2} b c d^{2} + 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 12 i \, {\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(i \, b^{3} d^{3} x^{3} + 3 i \, b^{3} c d^{2} x^{2} + 3 i \, a b^{2} c^{2} d - 3 i \, a^{2} b c d^{2} + i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{4} + i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(2 i \, b^{3} d^{3} x^{3} + 6 i \, b^{3} c d^{2} x^{2} + 6 i \, a b^{2} c^{2} d - 6 i \, a^{2} b c d^{2} + 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 6 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{3} d^{3} x^{3} + 6 i \, b^{3} c d^{2} x^{2} + 6 i \, a b^{2} c^{2} d - 6 i \, a^{2} b c d^{2} + 2 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + {\left(6 i \, b^{3} d^{3} x^{3} + 18 i \, b^{3} c d^{2} x^{2} + 18 i \, a b^{2} c^{2} d - 18 i \, a^{2} b c d^{2} + 6 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 18 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{2} + 6 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \sinh\left(b x + a\right)^{2} + 3 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x + {\left({\left(4 i \, b^{3} d^{3} x^{3} + 12 i \, b^{3} c d^{2} x^{2} + 12 i \, a b^{2} c^{2} d - 12 i \, a^{2} b c d^{2} + 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 12 i \, {\left(b^{3} c^{2} d - 2 \, b d^{3}\right)} x\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{3} d^{3} x^{3} + 12 i \, b^{3} c d^{2} x^{2} + 12 i \, a b^{2} c^{2} d - 12 i \, a^{2} b c d^{2} + 4 i \, {\left(a^{3} - 6 \, a\right)} d^{3} + 12 i \, {\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(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(6 i \, d^{3} \cosh\left(b x + a\right)^{4} + 24 i \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 6 i \, d^{3} \sinh\left(b x + a\right)^{4} + 12 i \, d^{3} \cosh\left(b x + a\right)^{2} + 6 i \, d^{3} + {\left(36 i \, d^{3} \cosh\left(b x + a\right)^{2} + 12 i \, d^{3}\right)} \sinh\left(b x + a\right)^{2} + {\left(24 i \, d^{3} \cosh\left(b x + a\right)^{3} + 24 i \, d^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-6 i \, d^{3} \cosh\left(b x + a\right)^{4} - 24 i \, d^{3} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 6 i \, d^{3} \sinh\left(b x + a\right)^{4} - 12 i \, d^{3} \cosh\left(b x + a\right)^{2} - 6 i \, d^{3} + {\left(-36 i \, d^{3} \cosh\left(b x + a\right)^{2} - 12 i \, d^{3}\right)} \sinh\left(b x + a\right)^{2} + {\left(-24 i \, d^{3} \cosh\left(b x + a\right)^{3} - 24 i \, d^{3} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(4, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left(-6 i \, b d^{3} x + {\left(-6 i \, b d^{3} x - 6 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-24 i \, b d^{3} x - 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-6 i \, b d^{3} x - 6 i \, b c d^{2}\right)} \sinh\left(b x + a\right)^{4} - 6 i \, b c d^{2} + {\left(-12 i \, b d^{3} x - 12 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-12 i \, b d^{3} x - 12 i \, b c d^{2} + {\left(-36 i \, b d^{3} x - 36 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-24 i \, b d^{3} x - 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-24 i \, b d^{3} x - 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(6 i \, b d^{3} x + {\left(6 i \, b d^{3} x + 6 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(24 i \, b d^{3} x + 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(6 i \, b d^{3} x + 6 i \, b c d^{2}\right)} \sinh\left(b x + a\right)^{4} + 6 i \, b c d^{2} + {\left(12 i \, b d^{3} x + 12 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(12 i \, b d^{3} x + 12 i \, b c d^{2} + {\left(36 i \, b d^{3} x + 36 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(24 i \, b d^{3} x + 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(24 i \, b d^{3} x + 24 i \, b c d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{3} 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*I*b^2*d^3*x^2 + 6*I*b^2*c*d^2*x + 3*I*b^2*c^2*d + (3*I*b^2*d^3*x^2 + 6*I*b^2*c*d^2*x + 3*I*b^2*c^2*d - 6*I*d^3)*cosh(b*x + a)^4 + (12*I*b^2*d^3*x^2 + 24*I*b^2*c*d^2*x + 12*I*b^2*c^2*d - 24*I*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (3*I*b^2*d^3*x^2 + 6*I*b^2*c*d^2*x + 3*I*b^2*c^2*d - 6*I*d^3)*sinh(b*x + a)^4 - 6*I*d^3 + (6*I*b^2*d^3*x^2 + 12*I*b^2*c*d^2*x + 6*I*b^2*c^2*d - 12*I*d^3)*cosh(b*x + a)^2 + (6*I*b^2*d^3*x^2 + 12*I*b^2*c*d^2*x + 6*I*b^2*c^2*d - 12*I*d^3 + (18*I*b^2*d^3*x^2 + 36*I*b^2*c*d^2*x + 18*I*b^2*c^2*d - 36*I*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((12*I*b^2*d^3*x^2 + 24*I*b^2*c*d^2*x + 12*I*b^2*c^2*d - 24*I*d^3)*cosh(b*x + a)^3 + (12*I*b^2*d^3*x^2 + 24*I*b^2*c*d^2*x + 12*I*b^2*c^2*d - 24*I*d^3)*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-3*I*b^2*d^3*x^2 - 6*I*b^2*c*d^2*x - 3*I*b^2*c^2*d + (-3*I*b^2*d^3*x^2 - 6*I*b^2*c*d^2*x - 3*I*b^2*c^2*d + 6*I*d^3)*cosh(b*x + a)^4 + (-12*I*b^2*d^3*x^2 - 24*I*b^2*c*d^2*x - 12*I*b^2*c^2*d + 24*I*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (-3*I*b^2*d^3*x^2 - 6*I*b^2*c*d^2*x - 3*I*b^2*c^2*d + 6*I*d^3)*sinh(b*x + a)^4 + 6*I*d^3 + (-6*I*b^2*d^3*x^2 - 12*I*b^2*c*d^2*x - 6*I*b^2*c^2*d + 12*I*d^3)*cosh(b*x + a)^2 + (-6*I*b^2*d^3*x^2 - 12*I*b^2*c*d^2*x - 6*I*b^2*c^2*d + 12*I*d^3 + (-18*I*b^2*d^3*x^2 - 36*I*b^2*c*d^2*x - 18*I*b^2*c^2*d + 36*I*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-12*I*b^2*d^3*x^2 - 24*I*b^2*c*d^2*x - 12*I*b^2*c^2*d + 24*I*d^3)*cosh(b*x + a)^3 + (-12*I*b^2*d^3*x^2 - 24*I*b^2*c*d^2*x - 12*I*b^2*c^2*d + 24*I*d^3)*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + (I*b^3*c^3 - 3*I*a*b^2*c^2*d + 3*I*(a^2 - 2)*b*c*d^2 + (I*b^3*c^3 - 3*I*a*b^2*c^2*d + 3*I*(a^2 - 2)*b*c*d^2 - I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^4 + (4*I*b^3*c^3 - 12*I*a*b^2*c^2*d + 12*I*(a^2 - 2)*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^3*c^3 - 3*I*a*b^2*c^2*d + 3*I*(a^2 - 2)*b*c*d^2 - I*(a^3 - 6*a)*d^3)*sinh(b*x + a)^4 - I*(a^3 - 6*a)*d^3 + (2*I*b^3*c^3 - 6*I*a*b^2*c^2*d + 6*I*(a^2 - 2)*b*c*d^2 - 2*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^2 + (2*I*b^3*c^3 - 6*I*a*b^2*c^2*d + 6*I*(a^2 - 2)*b*c*d^2 - 2*I*(a^3 - 6*a)*d^3 + (6*I*b^3*c^3 - 18*I*a*b^2*c^2*d + 18*I*(a^2 - 2)*b*c*d^2 - 6*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((4*I*b^3*c^3 - 12*I*a*b^2*c^2*d + 12*I*(a^2 - 2)*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^3 + (4*I*b^3*c^3 - 12*I*a*b^2*c^2*d + 12*I*(a^2 - 2)*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + (-I*b^3*c^3 + 3*I*a*b^2*c^2*d - 3*I*(a^2 - 2)*b*c*d^2 + (-I*b^3*c^3 + 3*I*a*b^2*c^2*d - 3*I*(a^2 - 2)*b*c*d^2 + I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^4 + (-4*I*b^3*c^3 + 12*I*a*b^2*c^2*d - 12*I*(a^2 - 2)*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^3*c^3 + 3*I*a*b^2*c^2*d - 3*I*(a^2 - 2)*b*c*d^2 + I*(a^3 - 6*a)*d^3)*sinh(b*x + a)^4 + I*(a^3 - 6*a)*d^3 + (-2*I*b^3*c^3 + 6*I*a*b^2*c^2*d - 6*I*(a^2 - 2)*b*c*d^2 + 2*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^2 + (-2*I*b^3*c^3 + 6*I*a*b^2*c^2*d - 6*I*(a^2 - 2)*b*c*d^2 + 2*I*(a^3 - 6*a)*d^3 + (-6*I*b^3*c^3 + 18*I*a*b^2*c^2*d - 18*I*(a^2 - 2)*b*c*d^2 + 6*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-4*I*b^3*c^3 + 12*I*a*b^2*c^2*d - 12*I*(a^2 - 2)*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a)^3 + (-4*I*b^3*c^3 + 12*I*a*b^2*c^2*d - 12*I*(a^2 - 2)*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + (-I*b^3*d^3*x^3 - 3*I*b^3*c*d^2*x^2 - 3*I*a*b^2*c^2*d + 3*I*a^2*b*c*d^2 + (-I*b^3*d^3*x^3 - 3*I*b^3*c*d^2*x^2 - 3*I*a*b^2*c^2*d + 3*I*a^2*b*c*d^2 - I*(a^3 - 6*a)*d^3 - 3*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^4 + (-4*I*b^3*d^3*x^3 - 12*I*b^3*c*d^2*x^2 - 12*I*a*b^2*c^2*d + 12*I*a^2*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3 - 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^3*d^3*x^3 - 3*I*b^3*c*d^2*x^2 - 3*I*a*b^2*c^2*d + 3*I*a^2*b*c*d^2 - I*(a^3 - 6*a)*d^3 - 3*I*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^4 - I*(a^3 - 6*a)*d^3 + (-2*I*b^3*d^3*x^3 - 6*I*b^3*c*d^2*x^2 - 6*I*a*b^2*c^2*d + 6*I*a^2*b*c*d^2 - 2*I*(a^3 - 6*a)*d^3 - 6*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 + (-2*I*b^3*d^3*x^3 - 6*I*b^3*c*d^2*x^2 - 6*I*a*b^2*c^2*d + 6*I*a^2*b*c*d^2 - 2*I*(a^3 - 6*a)*d^3 + (-6*I*b^3*d^3*x^3 - 18*I*b^3*c*d^2*x^2 - 18*I*a*b^2*c^2*d + 18*I*a^2*b*c*d^2 - 6*I*(a^3 - 6*a)*d^3 - 18*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 - 6*I*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^2 - 3*I*(b^3*c^2*d - 2*b*d^3)*x + ((-4*I*b^3*d^3*x^3 - 12*I*b^3*c*d^2*x^2 - 12*I*a*b^2*c^2*d + 12*I*a^2*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3 - 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^3 + (-4*I*b^3*d^3*x^3 - 12*I*b^3*c*d^2*x^2 - 12*I*a*b^2*c^2*d + 12*I*a^2*b*c*d^2 - 4*I*(a^3 - 6*a)*d^3 - 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (I*b^3*d^3*x^3 + 3*I*b^3*c*d^2*x^2 + 3*I*a*b^2*c^2*d - 3*I*a^2*b*c*d^2 + (I*b^3*d^3*x^3 + 3*I*b^3*c*d^2*x^2 + 3*I*a*b^2*c^2*d - 3*I*a^2*b*c*d^2 + I*(a^3 - 6*a)*d^3 + 3*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^4 + (4*I*b^3*d^3*x^3 + 12*I*b^3*c*d^2*x^2 + 12*I*a*b^2*c^2*d - 12*I*a^2*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3 + 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^3*d^3*x^3 + 3*I*b^3*c*d^2*x^2 + 3*I*a*b^2*c^2*d - 3*I*a^2*b*c*d^2 + I*(a^3 - 6*a)*d^3 + 3*I*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^4 + I*(a^3 - 6*a)*d^3 + (2*I*b^3*d^3*x^3 + 6*I*b^3*c*d^2*x^2 + 6*I*a*b^2*c^2*d - 6*I*a^2*b*c*d^2 + 2*I*(a^3 - 6*a)*d^3 + 6*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 + (2*I*b^3*d^3*x^3 + 6*I*b^3*c*d^2*x^2 + 6*I*a*b^2*c^2*d - 6*I*a^2*b*c*d^2 + 2*I*(a^3 - 6*a)*d^3 + (6*I*b^3*d^3*x^3 + 18*I*b^3*c*d^2*x^2 + 18*I*a*b^2*c^2*d - 18*I*a^2*b*c*d^2 + 6*I*(a^3 - 6*a)*d^3 + 18*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^2 + 6*I*(b^3*c^2*d - 2*b*d^3)*x)*sinh(b*x + a)^2 + 3*I*(b^3*c^2*d - 2*b*d^3)*x + ((4*I*b^3*d^3*x^3 + 12*I*b^3*c*d^2*x^2 + 12*I*a*b^2*c^2*d - 12*I*a^2*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3 + 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a)^3 + (4*I*b^3*d^3*x^3 + 12*I*b^3*c*d^2*x^2 + 12*I*a*b^2*c^2*d - 12*I*a^2*b*c*d^2 + 4*I*(a^3 - 6*a)*d^3 + 12*I*(b^3*c^2*d - 2*b*d^3)*x)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (6*I*d^3*cosh(b*x + a)^4 + 24*I*d^3*cosh(b*x + a)*sinh(b*x + a)^3 + 6*I*d^3*sinh(b*x + a)^4 + 12*I*d^3*cosh(b*x + a)^2 + 6*I*d^3 + (36*I*d^3*cosh(b*x + a)^2 + 12*I*d^3)*sinh(b*x + a)^2 + (24*I*d^3*cosh(b*x + a)^3 + 24*I*d^3*cosh(b*x + a))*sinh(b*x + a))*polylog(4, I*cosh(b*x + a) + I*sinh(b*x + a)) + (-6*I*d^3*cosh(b*x + a)^4 - 24*I*d^3*cosh(b*x + a)*sinh(b*x + a)^3 - 6*I*d^3*sinh(b*x + a)^4 - 12*I*d^3*cosh(b*x + a)^2 - 6*I*d^3 + (-36*I*d^3*cosh(b*x + a)^2 - 12*I*d^3)*sinh(b*x + a)^2 + (-24*I*d^3*cosh(b*x + a)^3 - 24*I*d^3*cosh(b*x + a))*sinh(b*x + a))*polylog(4, -I*cosh(b*x + a) - I*sinh(b*x + a)) + (-6*I*b*d^3*x + (-6*I*b*d^3*x - 6*I*b*c*d^2)*cosh(b*x + a)^4 + (-24*I*b*d^3*x - 24*I*b*c*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (-6*I*b*d^3*x - 6*I*b*c*d^2)*sinh(b*x + a)^4 - 6*I*b*c*d^2 + (-12*I*b*d^3*x - 12*I*b*c*d^2)*cosh(b*x + a)^2 + (-12*I*b*d^3*x - 12*I*b*c*d^2 + (-36*I*b*d^3*x - 36*I*b*c*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-24*I*b*d^3*x - 24*I*b*c*d^2)*cosh(b*x + a)^3 + (-24*I*b*d^3*x - 24*I*b*c*d^2)*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (6*I*b*d^3*x + (6*I*b*d^3*x + 6*I*b*c*d^2)*cosh(b*x + a)^4 + (24*I*b*d^3*x + 24*I*b*c*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (6*I*b*d^3*x + 6*I*b*c*d^2)*sinh(b*x + a)^4 + 6*I*b*c*d^2 + (12*I*b*d^3*x + 12*I*b*c*d^2)*cosh(b*x + a)^2 + (12*I*b*d^3*x + 12*I*b*c*d^2 + (36*I*b*d^3*x + 36*I*b*c*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((24*I*b*d^3*x + 24*I*b*c*d^2)*cosh(b*x + a)^3 + (24*I*b*d^3*x + 24*I*b*c*d^2)*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*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
10,1,2613,0,0.525339," ","integrate((d*x+c)^2*sech(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) + {\left({\left(2 i \, b d^{2} x + 2 i \, b c d\right)} \cosh\left(b x + a\right)^{4} + {\left(8 i \, b d^{2} x + 8 i \, b c d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(2 i \, b d^{2} x + 2 i \, b c d\right)} \sinh\left(b x + a\right)^{4} + 2 i \, b d^{2} x + 2 i \, b c d + {\left(4 i \, b d^{2} x + 4 i \, b c d\right)} \cosh\left(b x + a\right)^{2} + {\left(4 i \, b d^{2} x + 4 i \, b c d + {\left(12 i \, b d^{2} x + 12 i \, b c d\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(8 i \, b d^{2} x + 8 i \, b c d\right)} \cosh\left(b x + a\right)^{3} + {\left(8 i \, b d^{2} x + 8 i \, b c d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left({\left(-2 i \, b d^{2} x - 2 i \, b c d\right)} \cosh\left(b x + a\right)^{4} + {\left(-8 i \, b d^{2} x - 8 i \, b c d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-2 i \, b d^{2} x - 2 i \, b c d\right)} \sinh\left(b x + a\right)^{4} - 2 i \, b d^{2} x - 2 i \, b c d + {\left(-4 i \, b d^{2} x - 4 i \, b c d\right)} \cosh\left(b x + a\right)^{2} + {\left(-4 i \, b d^{2} x - 4 i \, b c d + {\left(-12 i \, b d^{2} x - 12 i \, b c d\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-8 i \, b d^{2} x - 8 i \, b c d\right)} \cosh\left(b x + a\right)^{3} + {\left(-8 i \, b d^{2} x - 8 i \, b c d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left({\left(i \, b^{2} c^{2} - 2 i \, a b c d + i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{2} c^{2} - 8 i \, a b c d + 4 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b^{2} c^{2} - 2 i \, a b c d + i \, {\left(a^{2} - 2\right)} d^{2}\right)} \sinh\left(b x + a\right)^{4} + i \, b^{2} c^{2} - 2 i \, a b c d + i \, {\left(a^{2} - 2\right)} d^{2} + {\left(2 i \, b^{2} c^{2} - 4 i \, a b c d + 2 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{2} c^{2} - 4 i \, a b c d + 2 i \, {\left(a^{2} - 2\right)} d^{2} + {\left(6 i \, b^{2} c^{2} - 12 i \, a b c d + 6 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(4 i \, b^{2} c^{2} - 8 i \, a b c d + 4 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{2} c^{2} - 8 i \, a b c d + 4 i \, {\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) + i\right) + {\left({\left(-i \, b^{2} c^{2} + 2 i \, a b c d - i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{2} c^{2} + 8 i \, a b c d - 4 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b^{2} c^{2} + 2 i \, a b c d - i \, {\left(a^{2} - 2\right)} d^{2}\right)} \sinh\left(b x + a\right)^{4} - i \, b^{2} c^{2} + 2 i \, a b c d - i \, {\left(a^{2} - 2\right)} d^{2} + {\left(-2 i \, b^{2} c^{2} + 4 i \, a b c d - 2 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{2} c^{2} + 4 i \, a b c d - 2 i \, {\left(a^{2} - 2\right)} d^{2} + {\left(-6 i \, b^{2} c^{2} + 12 i \, a b c d - 6 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-4 i \, b^{2} c^{2} + 8 i \, a b c d - 4 i \, {\left(a^{2} - 2\right)} d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{2} c^{2} + 8 i \, a b c d - 4 i \, {\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) - i\right) + {\left(-i \, b^{2} d^{2} x^{2} - 2 i \, b^{2} c d x + {\left(-i \, b^{2} d^{2} x^{2} - 2 i \, b^{2} c d x - 2 i \, a b c d + i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b^{2} d^{2} x^{2} - 8 i \, b^{2} c d x - 8 i \, a b c d + 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b^{2} d^{2} x^{2} - 2 i \, b^{2} c d x - 2 i \, a b c d + i \, a^{2} d^{2}\right)} \sinh\left(b x + a\right)^{4} - 2 i \, a b c d + i \, a^{2} d^{2} + {\left(-2 i \, b^{2} d^{2} x^{2} - 4 i \, b^{2} c d x - 4 i \, a b c d + 2 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b^{2} d^{2} x^{2} - 4 i \, b^{2} c d x - 4 i \, a b c d + 2 i \, a^{2} d^{2} + {\left(-6 i \, b^{2} d^{2} x^{2} - 12 i \, b^{2} c d x - 12 i \, a b c d + 6 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(-4 i \, b^{2} d^{2} x^{2} - 8 i \, b^{2} c d x - 8 i \, a b c d + 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b^{2} d^{2} x^{2} - 8 i \, b^{2} c d x - 8 i \, a b c d + 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left(i \, b^{2} d^{2} x^{2} + 2 i \, b^{2} c d x + {\left(i \, b^{2} d^{2} x^{2} + 2 i \, b^{2} c d x + 2 i \, a b c d - i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b^{2} d^{2} x^{2} + 8 i \, b^{2} c d x + 8 i \, a b c d - 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b^{2} d^{2} x^{2} + 2 i \, b^{2} c d x + 2 i \, a b c d - i \, a^{2} d^{2}\right)} \sinh\left(b x + a\right)^{4} + 2 i \, a b c d - i \, a^{2} d^{2} + {\left(2 i \, b^{2} d^{2} x^{2} + 4 i \, b^{2} c d x + 4 i \, a b c d - 2 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b^{2} d^{2} x^{2} + 4 i \, b^{2} c d x + 4 i \, a b c d - 2 i \, a^{2} d^{2} + {\left(6 i \, b^{2} d^{2} x^{2} + 12 i \, b^{2} c d x + 12 i \, a b c d - 6 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{2}\right)} \sinh\left(b x + a\right)^{2} + {\left({\left(4 i \, b^{2} d^{2} x^{2} + 8 i \, b^{2} c d x + 8 i \, a b c d - 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b^{2} d^{2} x^{2} + 8 i \, b^{2} c d x + 8 i \, a b c d - 4 i \, a^{2} d^{2}\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) + {\left(-2 i \, d^{2} \cosh\left(b x + a\right)^{4} - 8 i \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - 2 i \, d^{2} \sinh\left(b x + a\right)^{4} - 4 i \, d^{2} \cosh\left(b x + a\right)^{2} + {\left(-12 i \, d^{2} \cosh\left(b x + a\right)^{2} - 4 i \, d^{2}\right)} \sinh\left(b x + a\right)^{2} - 2 i \, d^{2} + {\left(-8 i \, d^{2} \cosh\left(b x + a\right)^{3} - 8 i \, d^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(2 i \, d^{2} \cosh\left(b x + a\right)^{4} + 8 i \, d^{2} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + 2 i \, d^{2} \sinh\left(b x + a\right)^{4} + 4 i \, d^{2} \cosh\left(b x + a\right)^{2} + {\left(12 i \, d^{2} \cosh\left(b x + a\right)^{2} + 4 i \, d^{2}\right)} \sinh\left(b x + a\right)^{2} + 2 i \, d^{2} + {\left(8 i \, d^{2} \cosh\left(b x + a\right)^{3} + 8 i \, d^{2} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} {\rm polylog}\left(3, -i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) - 2 \, {\left(b^{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*I*b*d^2*x + 2*I*b*c*d)*cosh(b*x + a)^4 + (8*I*b*d^2*x + 8*I*b*c*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (2*I*b*d^2*x + 2*I*b*c*d)*sinh(b*x + a)^4 + 2*I*b*d^2*x + 2*I*b*c*d + (4*I*b*d^2*x + 4*I*b*c*d)*cosh(b*x + a)^2 + (4*I*b*d^2*x + 4*I*b*c*d + (12*I*b*d^2*x + 12*I*b*c*d)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((8*I*b*d^2*x + 8*I*b*c*d)*cosh(b*x + a)^3 + (8*I*b*d^2*x + 8*I*b*c*d)*cosh(b*x + a))*sinh(b*x + a))*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + ((-2*I*b*d^2*x - 2*I*b*c*d)*cosh(b*x + a)^4 + (-8*I*b*d^2*x - 8*I*b*c*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (-2*I*b*d^2*x - 2*I*b*c*d)*sinh(b*x + a)^4 - 2*I*b*d^2*x - 2*I*b*c*d + (-4*I*b*d^2*x - 4*I*b*c*d)*cosh(b*x + a)^2 + (-4*I*b*d^2*x - 4*I*b*c*d + (-12*I*b*d^2*x - 12*I*b*c*d)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-8*I*b*d^2*x - 8*I*b*c*d)*cosh(b*x + a)^3 + (-8*I*b*d^2*x - 8*I*b*c*d)*cosh(b*x + a))*sinh(b*x + a))*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + ((I*b^2*c^2 - 2*I*a*b*c*d + I*(a^2 - 2)*d^2)*cosh(b*x + a)^4 + (4*I*b^2*c^2 - 8*I*a*b*c*d + 4*I*(a^2 - 2)*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^2*c^2 - 2*I*a*b*c*d + I*(a^2 - 2)*d^2)*sinh(b*x + a)^4 + I*b^2*c^2 - 2*I*a*b*c*d + I*(a^2 - 2)*d^2 + (2*I*b^2*c^2 - 4*I*a*b*c*d + 2*I*(a^2 - 2)*d^2)*cosh(b*x + a)^2 + (2*I*b^2*c^2 - 4*I*a*b*c*d + 2*I*(a^2 - 2)*d^2 + (6*I*b^2*c^2 - 12*I*a*b*c*d + 6*I*(a^2 - 2)*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((4*I*b^2*c^2 - 8*I*a*b*c*d + 4*I*(a^2 - 2)*d^2)*cosh(b*x + a)^3 + (4*I*b^2*c^2 - 8*I*a*b*c*d + 4*I*(a^2 - 2)*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + ((-I*b^2*c^2 + 2*I*a*b*c*d - I*(a^2 - 2)*d^2)*cosh(b*x + a)^4 + (-4*I*b^2*c^2 + 8*I*a*b*c*d - 4*I*(a^2 - 2)*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^2*c^2 + 2*I*a*b*c*d - I*(a^2 - 2)*d^2)*sinh(b*x + a)^4 - I*b^2*c^2 + 2*I*a*b*c*d - I*(a^2 - 2)*d^2 + (-2*I*b^2*c^2 + 4*I*a*b*c*d - 2*I*(a^2 - 2)*d^2)*cosh(b*x + a)^2 + (-2*I*b^2*c^2 + 4*I*a*b*c*d - 2*I*(a^2 - 2)*d^2 + (-6*I*b^2*c^2 + 12*I*a*b*c*d - 6*I*(a^2 - 2)*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-4*I*b^2*c^2 + 8*I*a*b*c*d - 4*I*(a^2 - 2)*d^2)*cosh(b*x + a)^3 + (-4*I*b^2*c^2 + 8*I*a*b*c*d - 4*I*(a^2 - 2)*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + (-I*b^2*d^2*x^2 - 2*I*b^2*c*d*x + (-I*b^2*d^2*x^2 - 2*I*b^2*c*d*x - 2*I*a*b*c*d + I*a^2*d^2)*cosh(b*x + a)^4 + (-4*I*b^2*d^2*x^2 - 8*I*b^2*c*d*x - 8*I*a*b*c*d + 4*I*a^2*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b^2*d^2*x^2 - 2*I*b^2*c*d*x - 2*I*a*b*c*d + I*a^2*d^2)*sinh(b*x + a)^4 - 2*I*a*b*c*d + I*a^2*d^2 + (-2*I*b^2*d^2*x^2 - 4*I*b^2*c*d*x - 4*I*a*b*c*d + 2*I*a^2*d^2)*cosh(b*x + a)^2 + (-2*I*b^2*d^2*x^2 - 4*I*b^2*c*d*x - 4*I*a*b*c*d + 2*I*a^2*d^2 + (-6*I*b^2*d^2*x^2 - 12*I*b^2*c*d*x - 12*I*a*b*c*d + 6*I*a^2*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((-4*I*b^2*d^2*x^2 - 8*I*b^2*c*d*x - 8*I*a*b*c*d + 4*I*a^2*d^2)*cosh(b*x + a)^3 + (-4*I*b^2*d^2*x^2 - 8*I*b^2*c*d*x - 8*I*a*b*c*d + 4*I*a^2*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + (I*b^2*d^2*x^2 + 2*I*b^2*c*d*x + (I*b^2*d^2*x^2 + 2*I*b^2*c*d*x + 2*I*a*b*c*d - I*a^2*d^2)*cosh(b*x + a)^4 + (4*I*b^2*d^2*x^2 + 8*I*b^2*c*d*x + 8*I*a*b*c*d - 4*I*a^2*d^2)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b^2*d^2*x^2 + 2*I*b^2*c*d*x + 2*I*a*b*c*d - I*a^2*d^2)*sinh(b*x + a)^4 + 2*I*a*b*c*d - I*a^2*d^2 + (2*I*b^2*d^2*x^2 + 4*I*b^2*c*d*x + 4*I*a*b*c*d - 2*I*a^2*d^2)*cosh(b*x + a)^2 + (2*I*b^2*d^2*x^2 + 4*I*b^2*c*d*x + 4*I*a*b*c*d - 2*I*a^2*d^2 + (6*I*b^2*d^2*x^2 + 12*I*b^2*c*d*x + 12*I*a*b*c*d - 6*I*a^2*d^2)*cosh(b*x + a)^2)*sinh(b*x + a)^2 + ((4*I*b^2*d^2*x^2 + 8*I*b^2*c*d*x + 8*I*a*b*c*d - 4*I*a^2*d^2)*cosh(b*x + a)^3 + (4*I*b^2*d^2*x^2 + 8*I*b^2*c*d*x + 8*I*a*b*c*d - 4*I*a^2*d^2)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*sinh(b*x + a) + 1) + (-2*I*d^2*cosh(b*x + a)^4 - 8*I*d^2*cosh(b*x + a)*sinh(b*x + a)^3 - 2*I*d^2*sinh(b*x + a)^4 - 4*I*d^2*cosh(b*x + a)^2 + (-12*I*d^2*cosh(b*x + a)^2 - 4*I*d^2)*sinh(b*x + a)^2 - 2*I*d^2 + (-8*I*d^2*cosh(b*x + a)^3 - 8*I*d^2*cosh(b*x + a))*sinh(b*x + a))*polylog(3, I*cosh(b*x + a) + I*sinh(b*x + a)) + (2*I*d^2*cosh(b*x + a)^4 + 8*I*d^2*cosh(b*x + a)*sinh(b*x + a)^3 + 2*I*d^2*sinh(b*x + a)^4 + 4*I*d^2*cosh(b*x + a)^2 + (12*I*d^2*cosh(b*x + a)^2 + 4*I*d^2)*sinh(b*x + a)^2 + 2*I*d^2 + (8*I*d^2*cosh(b*x + a)^3 + 8*I*d^2*cosh(b*x + a))*sinh(b*x + a))*polylog(3, -I*cosh(b*x + a) - I*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
11,1,1243,0,0.450553," ","integrate((d*x+c)*sech(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(i \, d \cosh\left(b x + a\right)^{4} + 4 i \, d \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + i \, d \sinh\left(b x + a\right)^{4} + 2 i \, d \cosh\left(b x + a\right)^{2} + {\left(6 i \, d \cosh\left(b x + a\right)^{2} + 2 i \, d\right)} \sinh\left(b x + a\right)^{2} + {\left(4 i \, d \cosh\left(b x + a\right)^{3} + 4 i \, d \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + i \, d\right)} {\rm Li}_2\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right)\right) + {\left(-i \, d \cosh\left(b x + a\right)^{4} - 4 i \, d \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} - i \, d \sinh\left(b x + a\right)^{4} - 2 i \, d \cosh\left(b x + a\right)^{2} + {\left(-6 i \, d \cosh\left(b x + a\right)^{2} - 2 i \, d\right)} \sinh\left(b x + a\right)^{2} + {\left(-4 i \, d \cosh\left(b x + a\right)^{3} - 4 i \, d \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) - i \, d\right)} {\rm Li}_2\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right)\right) + {\left({\left(i \, b c - i \, a d\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b c - 4 i \, a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b c - i \, a d\right)} \sinh\left(b x + a\right)^{4} + {\left(2 i \, b c - 2 i \, a d\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(6 i \, b c - 6 i \, a d\right)} \cosh\left(b x + a\right)^{2} + 2 i \, b c - 2 i \, a d\right)} \sinh\left(b x + a\right)^{2} + i \, b c - i \, a d + {\left({\left(4 i \, b c - 4 i \, a d\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b c - 4 i \, 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) + i\right) + {\left({\left(-i \, b c + i \, a d\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b c + 4 i \, a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b c + i \, a d\right)} \sinh\left(b x + a\right)^{4} + {\left(-2 i \, b c + 2 i \, a d\right)} \cosh\left(b x + a\right)^{2} + {\left({\left(-6 i \, b c + 6 i \, a d\right)} \cosh\left(b x + a\right)^{2} - 2 i \, b c + 2 i \, a d\right)} \sinh\left(b x + a\right)^{2} - i \, b c + i \, a d + {\left({\left(-4 i \, b c + 4 i \, a d\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b c + 4 i \, 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) - i\right) + {\left({\left(-i \, b d x - i \, a d\right)} \cosh\left(b x + a\right)^{4} + {\left(-4 i \, b d x - 4 i \, a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(-i \, b d x - i \, a d\right)} \sinh\left(b x + a\right)^{4} - i \, b d x + {\left(-2 i \, b d x - 2 i \, a d\right)} \cosh\left(b x + a\right)^{2} + {\left(-2 i \, b d x + {\left(-6 i \, b d x - 6 i \, a d\right)} \cosh\left(b x + a\right)^{2} - 2 i \, a d\right)} \sinh\left(b x + a\right)^{2} - i \, a d + {\left({\left(-4 i \, b d x - 4 i \, a d\right)} \cosh\left(b x + a\right)^{3} + {\left(-4 i \, b d x - 4 i \, a d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(i \, \cosh\left(b x + a\right) + i \, \sinh\left(b x + a\right) + 1\right) + {\left({\left(i \, b d x + i \, a d\right)} \cosh\left(b x + a\right)^{4} + {\left(4 i \, b d x + 4 i \, a d\right)} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + {\left(i \, b d x + i \, a d\right)} \sinh\left(b x + a\right)^{4} + i \, b d x + {\left(2 i \, b d x + 2 i \, a d\right)} \cosh\left(b x + a\right)^{2} + {\left(2 i \, b d x + {\left(6 i \, b d x + 6 i \, a d\right)} \cosh\left(b x + a\right)^{2} + 2 i \, a d\right)} \sinh\left(b x + a\right)^{2} + i \, a d + {\left({\left(4 i \, b d x + 4 i \, a d\right)} \cosh\left(b x + a\right)^{3} + {\left(4 i \, b d x + 4 i \, a d\right)} \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)\right)} \log\left(-i \, \cosh\left(b x + a\right) - i \, \sinh\left(b x + a\right) + 1\right) - 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) + (I*d*cosh(b*x + a)^4 + 4*I*d*cosh(b*x + a)*sinh(b*x + a)^3 + I*d*sinh(b*x + a)^4 + 2*I*d*cosh(b*x + a)^2 + (6*I*d*cosh(b*x + a)^2 + 2*I*d)*sinh(b*x + a)^2 + (4*I*d*cosh(b*x + a)^3 + 4*I*d*cosh(b*x + a))*sinh(b*x + a) + I*d)*dilog(I*cosh(b*x + a) + I*sinh(b*x + a)) + (-I*d*cosh(b*x + a)^4 - 4*I*d*cosh(b*x + a)*sinh(b*x + a)^3 - I*d*sinh(b*x + a)^4 - 2*I*d*cosh(b*x + a)^2 + (-6*I*d*cosh(b*x + a)^2 - 2*I*d)*sinh(b*x + a)^2 + (-4*I*d*cosh(b*x + a)^3 - 4*I*d*cosh(b*x + a))*sinh(b*x + a) - I*d)*dilog(-I*cosh(b*x + a) - I*sinh(b*x + a)) + ((I*b*c - I*a*d)*cosh(b*x + a)^4 + (4*I*b*c - 4*I*a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b*c - I*a*d)*sinh(b*x + a)^4 + (2*I*b*c - 2*I*a*d)*cosh(b*x + a)^2 + ((6*I*b*c - 6*I*a*d)*cosh(b*x + a)^2 + 2*I*b*c - 2*I*a*d)*sinh(b*x + a)^2 + I*b*c - I*a*d + ((4*I*b*c - 4*I*a*d)*cosh(b*x + a)^3 + (4*I*b*c - 4*I*a*d)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) + I) + ((-I*b*c + I*a*d)*cosh(b*x + a)^4 + (-4*I*b*c + 4*I*a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b*c + I*a*d)*sinh(b*x + a)^4 + (-2*I*b*c + 2*I*a*d)*cosh(b*x + a)^2 + ((-6*I*b*c + 6*I*a*d)*cosh(b*x + a)^2 - 2*I*b*c + 2*I*a*d)*sinh(b*x + a)^2 - I*b*c + I*a*d + ((-4*I*b*c + 4*I*a*d)*cosh(b*x + a)^3 + (-4*I*b*c + 4*I*a*d)*cosh(b*x + a))*sinh(b*x + a))*log(cosh(b*x + a) + sinh(b*x + a) - I) + ((-I*b*d*x - I*a*d)*cosh(b*x + a)^4 + (-4*I*b*d*x - 4*I*a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (-I*b*d*x - I*a*d)*sinh(b*x + a)^4 - I*b*d*x + (-2*I*b*d*x - 2*I*a*d)*cosh(b*x + a)^2 + (-2*I*b*d*x + (-6*I*b*d*x - 6*I*a*d)*cosh(b*x + a)^2 - 2*I*a*d)*sinh(b*x + a)^2 - I*a*d + ((-4*I*b*d*x - 4*I*a*d)*cosh(b*x + a)^3 + (-4*I*b*d*x - 4*I*a*d)*cosh(b*x + a))*sinh(b*x + a))*log(I*cosh(b*x + a) + I*sinh(b*x + a) + 1) + ((I*b*d*x + I*a*d)*cosh(b*x + a)^4 + (4*I*b*d*x + 4*I*a*d)*cosh(b*x + a)*sinh(b*x + a)^3 + (I*b*d*x + I*a*d)*sinh(b*x + a)^4 + I*b*d*x + (2*I*b*d*x + 2*I*a*d)*cosh(b*x + a)^2 + (2*I*b*d*x + (6*I*b*d*x + 6*I*a*d)*cosh(b*x + a)^2 + 2*I*a*d)*sinh(b*x + a)^2 + I*a*d + ((4*I*b*d*x + 4*I*a*d)*cosh(b*x + a)^3 + (4*I*b*d*x + 4*I*a*d)*cosh(b*x + a))*sinh(b*x + a))*log(-I*cosh(b*x + a) - I*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
12,0,0,0,0.451843," ","integrate(sech(b*x+a)^3/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{sech}\left(b x + a\right)^{3}}{d x + c}, x\right)"," ",0,"integral(sech(b*x + a)^3/(d*x + c), x)","F",0
13,-2,0,0,0.000000," ","integrate(x/sech(x)^(3/2)-1/3*x*sech(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/sech(x)^(5/2)-3/5*x/sech(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/sech(x)^(7/2)-5/21*x*sech(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/sech(x)^(3/2)-1/3*x^2*sech(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
