How to do this kind of integral?

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nicksauce
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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?

Homework Equations





The Attempt at a Solution

 
Last edited:

Answers and Replies

  • #2
nicksauce
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Err... figured it out. Just have to use a the contour with a quarter-arc, then along the y-axis, then the x-axis...
 

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