- #1
- 1,271
- 7
Homework Statement
Evaluate [tex]\int_0^{\infty} \frac{dx}{1+x^{100}}[/tex]
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.
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?