\[ \int \frac {\text {csch}^3(c+d x)}{\left (a+b \tanh ^2(c+d x)\right )^2} \, dx \]
Optimal antiderivative \[ \frac {\left (a +4 b \right ) \arctanh \! \left (\cosh \! \left (d x +c \right )\right )}{2 a^{3} d}-\frac {\coth \! \left (d x +c \right ) \mathrm {csch}\! \left (d x +c \right )}{2 a d \left (a +b -b \mathrm {sech}\! \left (d x +c \right )^{2}\right )}-\frac {b \,\mathrm {sech}\! \left (d x +c \right )}{a^{2} d \left (a +b -b \mathrm {sech}\! \left (d x +c \right )^{2}\right )}-\frac {\left (3 a +4 b \right ) \arctanh \! \left (\frac {\mathrm {sech}\left (d x +c \right ) \sqrt {b}}{\sqrt {a +b}}\right ) \sqrt {b}}{2 a^{3} d \sqrt {a +b}} \]
command
integrate(csch(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {Exception raised: TypeError} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {output too large to display} \]