# Math Help - Proving the reduction formula, in need of help

1. ## 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

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

2. ## Re: Proving the reduction formula, in need of help

Differentiate?

3. ## Re: Proving the reduction formula, in need of help

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

4. ## Re: Proving the reduction formula, in need of help

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