\[ \int \frac {\text {sech}^3(c+d x)}{\left (a+b \tanh ^2(c+d x)\right )^2} \, dx \]
Optimal antiderivative \[ \frac {\sinh \! \left (d x +c \right )}{2 a d \left (a +\left (a +b \right ) \left (\sinh ^{2}\left (d x +c \right )\right )\right )}+\frac {\arctan \! \left (\frac {\sinh \left (d x +c \right ) \sqrt {a +b}}{\sqrt {a}}\right )}{2 a^{\frac {3}{2}} d \sqrt {a +b}} \]
command
integrate(sech(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
\[ \text {output too large to display} \]