$\displaystyle \int x^n sin(x) * dx$ =______________________+ $\displaystyle \int x^{n-1} cos(x) * dx$

I want to just say sin(x), but that n should be a +1 and not minus or am I wrong? And,

$\displaystyle Evaluate \int 5x * sin(x) * dx$

Would you just pull the 5 out and call it a day or what?