\[ \int e^{a+b x} \cos ^3(c+d x) \sin ^2(c+d x) \, dx \]
Optimal antiderivative \[ \frac {b \,{\mathrm e}^{b x +a} \cos \left (d x +c \right )}{8 b^{2}+8 d^{2}}-\frac {b \,{\mathrm e}^{b x +a} \cos \left (3 d x +3 c \right )}{16 \left (b^{2}+9 d^{2}\right )}-\frac {b \,{\mathrm e}^{b x +a} \cos \left (5 d x +5 c \right )}{16 \left (b^{2}+25 d^{2}\right )}+\frac {d \,{\mathrm e}^{b x +a} \sin \left (d x +c \right )}{8 b^{2}+8 d^{2}}-\frac {3 d \,{\mathrm e}^{b x +a} \sin \left (3 d x +3 c \right )}{16 \left (b^{2}+9 d^{2}\right )}-\frac {5 d \,{\mathrm e}^{b x +a} \sin \left (5 d x +5 c \right )}{16 \left (b^{2}+25 d^{2}\right )} \]
command
integrate(exp(b*x+a)*cos(d*x+c)**3*sin(d*x+c)**2,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 \[ \text {Timed out} \]_____________________________________________________