If e ^ x is a primitive function of F (x), then ∫ XF (x) DX limit

If e ^ x is a primitive function of F (x), then ∫ XF (x) DX limit

It's points, right
E ^ x is an original function of F (x)
f(x)=(e^x)'=e^x
∫xf(x)dx
=∫xe^xdx
=∫xde^x
=xe^x-∫e^xdx
=xe^x-e^x+C