nicksauce

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Homework Helper

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**1. Homework Statement**

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

**2. Homework 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?