86.7 Problem number 810

\[ \int \frac {1}{\left (\cosh ^2(x)+\sinh ^2(x)\right )^3} \, dx \]

Optimal antiderivative \[ \frac {\arctan \left (\tanh \left (x \right )\right )}{2}+\frac {\mathrm {sech}\left (x \right )^{2} \tanh \left (x \right )}{2 \left (1+\tanh ^{2}\left (x \right )\right )^{2}} \]

command

integrate(1/(cosh(x)**2+sinh(x)**2)**3,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 \[ \text {Timed out} \]_____________________________________________________