\[ \int \frac {1}{1-\sinh ^8(x)} \, dx \]
Optimal antiderivative \[ \frac {\arctanh \left (\sqrt {1-i}\, \tanh \left (x \right )\right )}{4 \sqrt {1-i}}+\frac {\arctanh \left (\sqrt {1+i}\, \tanh \left (x \right )\right )}{4 \sqrt {1+i}}+\frac {\arctanh \left (\sqrt {2}\, \tanh \left (x \right )\right ) \sqrt {2}}{8}+\frac {\tanh \left (x \right )}{4} \]
command
integrate(1/(1-sinh(x)^8),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {1}{16} \, \sqrt {2} \log \left (\frac {{\left | -4 \, \sqrt {2} + 2 \, e^{\left (2 \, x\right )} - 6 \right |}}{{\left | 4 \, \sqrt {2} + 2 \, e^{\left (2 \, x\right )} - 6 \right |}}\right ) - \frac {1}{2 \, {\left (e^{\left (2 \, x\right )} + 1\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Timed out} \]________________________________________________________________________________________