The question is read

integrate---

int(0 to infinity) (e^-x)(sinx)

So i first expressed this as a limit where

limit A approaching infinity (int 0 to A)(e^-x)(sinx).

I integrated by parts twice to find that int of (e^-x)(sinx) = (e^-x (-sinx-cosx))/2

But now i am stuck on solving the limit itself. Any help is appreciated Thanks in advance