\[ \int \frac {\tanh (e+f x)}{\left (a+a \sinh ^2(e+f x)\right )^{3/2}} \, dx \]
Optimal antiderivative \[ -\frac {1}{3 f \left (a \left (\cosh ^{2}\left (f x +e \right )\right )\right )^{\frac {3}{2}}} \]
command
integrate(tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),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
\[ -\frac {8 \, e^{\left (3 \, f x + 3 \, e\right )}}{3 \, a^{\frac {3}{2}} f {\left (e^{\left (2 \, f x + 2 \, e\right )} + 1\right )}^{3}} \]