\[ \int \frac {\text {csch}(c+d x)}{\left (a+b \tanh ^2(c+d x)\right )^3} \, dx \]
Optimal antiderivative \[ -\frac {\arctanh \! \left (\cosh \! \left (d x +c \right )\right )}{a^{3} d}+\frac {b \,\mathrm {sech}\! \left (d x +c \right )}{4 a \left (a +b \right ) d \left (a +b -b \mathrm {sech}\! \left (d x +c \right )^{2}\right )^{2}}+\frac {b \left (7 a +4 b \right ) \mathrm {sech}\! \left (d x +c \right )}{8 a^{2} \left (a +b \right )^{2} d \left (a +b -b \mathrm {sech}\! \left (d x +c \right )^{2}\right )}+\frac {\left (15 a^{2}+20 a b +8 b^{2}\right ) \arctanh \! \left (\frac {\mathrm {sech}\left (d x +c \right ) \sqrt {b}}{\sqrt {a +b}}\right ) \sqrt {b}}{8 a^{3} \left (a +b \right )^{\frac {5}{2}} d} \]
command
integrate(csch(d*x+c)/(a+b*tanh(d*x+c)^2)^3,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
\[ \text {output too large to display} \]