- #1

- 1,238

- 10

## Homework Statement

Apologies if this is obvious, maybe I'm a little out of touch

## \int\limits^b_0 \frac{x^3}{x^2+m^2} dx ##

## Homework Equations

## The Attempt at a Solution

I [/B]was going to go by parts breaking the ##x^3 = x^2 . x##

So that I have the logarithm

I.e :

##b^2 \frac{log (b^2 + m^2)}{2} - \int \frac{log (x^2+m^2)}{2} 2x dx ##

But the solution is :

## b^2 + m^2 log ( \frac{m^2}{b^2+m^2} ) ##

( I thought that perhaps the solution could be going by parts again, but there is no reason for the boundary term to vanish )

Ta