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**1. Homework Statement**

I want to evaluate, using residue calculus, the following

[tex]\int_0^{\infty}\frac{xdx}{1+x^4}[/tex]

I can't find any kind of formula for this kind of integral though. We just know [tex]\int_{-\infty}^{\infty}\frac{P(x)dx}{Q(x)}[/tex], however that would give 0 in this case as the function is odd. Any pointers?

**2. Homework Equations**

**3. The Attempt at a Solution**

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