# How to do this kind of integral?

1. Apr 26, 2008

### nicksauce

1. The problem statement, all variables and given/known data
I want to evaluate, using residue calculus, the following
$$\int_0^{\infty}\frac{xdx}{1+x^4}$$
I can't find any kind of formula for this kind of integral though. We just know $$\int_{-\infty}^{\infty}\frac{P(x)dx}{Q(x)}$$, however that would give 0 in this case as the function is odd. Any pointers?

2. Relevant equations

3. The attempt at a solution

Last edited: Apr 26, 2008
2. Apr 26, 2008

### nicksauce

Err... figured it out. Just have to use a the contour with a quarter-arc, then along the y-axis, then the x-axis...