\[ \int (\sin (x \log (x))+\log (x) \sin (x \log (x))) \, dx \]
Optimal antiderivative \[ -\cos \left (x \ln \left (x \right )\right ) \]
command
integrate(sin(x*log(x))+log(x)*sin(x*log(x)),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\cos \left (x \log \left (x\right )\right ) \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: RuntimeError} \]________________________________________________________________________________________