# How to do this kind of integral?

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## Homework Statement

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?

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