\[ \int (c+d x) \csc ^2(a+b x) \sec ^2(a+b x) \, dx \]
Optimal antiderivative \[ -\frac {2 \left (d x +c \right ) \cot \left (2 b x +2 a \right )}{b}+\frac {d \ln \left (\sin \left (2 b x +2 a \right )\right )}{b^{2}} \]
command
integrate((d*x+c)*csc(b*x+a)^2*sec(b*x+a)^2,x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {output too large to display} \]
Giac 1.7.0 via sagemath 9.3 output \[ \text {Timed out} \]_______________________________________________________