\[ \int e^{c+d x} \cosh ^3(a+b x) \sinh ^3(a+b x) \, dx \]
Optimal antiderivative \[ -\frac {3 b \,{\mathrm e}^{d x +c} \cosh \left (2 b x +2 a \right )}{16 \left (4 b^{2}-d^{2}\right )}+\frac {3 b \,{\mathrm e}^{d x +c} \cosh \left (6 b x +6 a \right )}{16 \left (36 b^{2}-d^{2}\right )}+\frac {3 d \,{\mathrm e}^{d x +c} \sinh \left (2 b x +2 a \right )}{32 \left (4 b^{2}-d^{2}\right )}-\frac {d \,{\mathrm e}^{d x +c} \sinh \left (6 b x +6 a \right )}{32 \left (36 b^{2}-d^{2}\right )} \]
command
integrate(exp(d*x+c)*cosh(b*x+a)**3*sinh(b*x+a)**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 \[ \text {Timed out} \]_____________________________________________________