78.1 Problem number 74

\[ \int \frac {\sinh ^2(x)}{a+b \sinh (x)} \, dx \]

Optimal antiderivative \[ -\frac {a x}{b^{2}}+\frac {\cosh \left (x \right )}{b}-\frac {2 a^{2} \arctanh \left (\frac {b -a \tanh \left (\frac {x}{2}\right )}{\sqrt {a^{2}+b^{2}}}\right )}{b^{2} \sqrt {a^{2}+b^{2}}} \]

command

integrate(sinh(x)**2/(a+b*sinh(x)),x)

Sympy 1.10.1 under Python 3.10.4 output

\[ \text {output too large to display} \]

Sympy 1.8 under Python 3.8.8 output \[ \text {Timed out} \]_____________________________________________________