What are the complex poles of the function 1/(x^4+1)?

[doey]

1. Homework Statement [/b
from -∞ to ∞ of ∫1/(x^4+1) dx

Homework Equations

how can i actually find out the pole of this function

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 ==

 

[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.

 

[Dick]

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.

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 $\theta$.