\[ \int \cot ^3(c+b x) \sin (a+b x) \, dx \]
Optimal antiderivative \[ -\frac {\cos \left (a -c \right ) \csc \left (b x +c \right )}{b}+\frac {3 \arctanh \left (\cos \left (b x +c \right )\right ) \sin \left (a -c \right )}{2 b}-\frac {\cot \left (b x +c \right ) \csc \left (b x +c \right ) \sin \left (a -c \right )}{2 b}-\frac {\sin \left (b x +a \right )}{b} \]
command
integrate(cot(b*x+c)^3*sin(b*x+a),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 \[ \text {Exception raised: NotImplementedError} \]_______________________________________________________