Solving Integration by Parts with a Reduction Formula

[Slimsta]

Homework Statement

Use integration by parts to prove the reduction formula:
http://img214.imageshack.us/img214/1234/24206074.jpg

Homework Equations

The Attempt at a Solution

what confuses me about this question is that its not in the form sqrt(a² + x²) but its in ^n instead of sqrt.. so how do i do that?

 

[physicsman2]

Can you elaborate more on why that confuses you? It seems a is a constant and x is the variable to start off. n also has to be a constant. Just do integration by parts, just like you pointed out in the title. Do you remember how to do integration by parts? I'll start you off, dx will be dv in the Integration by parts equation and the rest will be u.