\[ \int \frac {\text {csch}^2(2+3 x)}{1+2 \coth ^2(2+3 x)} \, dx \]
Optimal antiderivative \[ \frac {\arctan \left (\frac {\sqrt {2}\, \tanh \left (2+3 x \right )}{2}\right ) \sqrt {2}}{6} \]
command
integrate(csch(2+3*x)^2/(1+2*coth(2+3*x)^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {1}{6} \, \sqrt {2} \arctan \left (\frac {1}{4} \, \sqrt {2} {\left (3 \, e^{\left (6 \, x + 4\right )} + 1\right )}\right ) \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________