(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate [tex]\int_0^{\infty} \frac{dx}{1+x^{100}}[/tex]

2. Relevant equations

[tex]\int^{\infty}_{-\infty} \frac{P(x)dx}{Q(x)} = 2\pi i\sum_{\textnormal{res}}\frac{P(z)}{Q(z)}[/tex] in the Upper half plane.

3. The attempt at a solution

I really can't be expected to calculate the residue of this function some 50 times can I? There must be some trick I am missing. Any hints?

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# Homework Help: Integral with residues

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