\[ \int \frac {\text {csch}^2(2+3 x)}{1-2 \coth ^2(2+3 x)} \, dx \]
Optimal antiderivative \[ -\frac {\arctanh \left (\frac {\sqrt {2}\, \tanh \left (2+3 x \right )}{2}\right ) \sqrt {2}}{6} \]
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
\[ -\frac {1}{12} \, \sqrt {2} \log \left (-\frac {2 \, \sqrt {2} e^{4} - 3 \, e^{4} - e^{\left (6 \, x + 8\right )}}{2 \, \sqrt {2} e^{4} + 3 \, e^{4} + e^{\left (6 \, x + 8\right )}}\right ) \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________