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