\[ \int \frac {\tanh ^3(e+f x)}{\sqrt {a+a \sinh ^2(e+f x)}} \, dx \]
Optimal antiderivative \[ \frac {a}{3 f \left (a \left (\cosh ^{2}\left (f x +e \right )\right )\right )^{\frac {3}{2}}}-\frac {1}{f \sqrt {a \left (\cosh ^{2}\left (f x +e \right )\right )}} \]
command
integrate(tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(1/2),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
\[ -\frac {2 \, {\left (3 \, \sqrt {a} e^{\left (5 \, f x + 5 \, e\right )} + 2 \, \sqrt {a} e^{\left (3 \, f x + 3 \, e\right )} + 3 \, \sqrt {a} e^{\left (f x + e\right )}\right )}}{3 \, a f {\left (e^{\left (2 \, f x + 2 \, e\right )} + 1\right )}^{3}} \]