# Evaluation of real integral

1. Dec 10, 2012

### doey

1. The problem statement, all variables and given/known data[/b
from -∞ to ∞ of ∫1/(x^4+1) dx

2. Relevant equations
how can i actually find out the pole of this function

3. The attempt at a solution
i try to determine the pole and x^4=-1,for this i have obtain the root which is (-1)^1/4,but i dun noe how to find out the remaining roots and it really make me confuse for this ==

2. Dec 10, 2012

### Michael Redei

Since x4+1 = 0 has no real-valued solutions, your function f(x) = 1/(x4+1) has no poles. You'll need a different approach for this integral.

3. Dec 10, 2012

### Dick

There are complex poles. There are four of them. Write the root in polar form $r e^{i \theta}$ and try and figure out what the possibilities are for r and $\theta$.