Proving the reduction formula, in need of help

Hello there people.

I have confronted a problem that I don't know how to do.

It is has follows:

Prove the reduction formula http://i.imgur.com/BEt3U.png

It would really helpful if someone were to help me understand this and show me how to prove it.

Thank you in advance to whoever that can :)

Re: Proving the reduction formula, in need of help

Re: Proving the reduction formula, in need of help

Well it's proving that the left side actually equals to the right side.

Re: Proving the reduction formula, in need of help

You have to integrate by parts. $\displaystyle x^n e^{-x^2} = x^{n-1}xe^{-x^2}$. $\displaystyle dv = xe^{-x^2}dx$, $\displaystyle u=x^{n-1}$.