\[ \int \frac {\sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx \]
Optimal antiderivative \[ -\frac {a x}{b^{2}}-\frac {\cos \left (d x +c \right )}{b d}+\frac {2 a^{2} \arctan \left (\frac {b +a \tan \left (\frac {d x}{2}+\frac {c}{2}\right )}{\sqrt {a^{2}-b^{2}}}\right )}{b^{2} d \sqrt {a^{2}-b^{2}}} \]
command
integrate(sin(d*x+c)**2/(a+b*sin(d*x+c)),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 \[ \text {Timed out} \]_____________________________________________________