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yeahhyeahyeah
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Homework Statement
the integral of 1/(1+x^4) from -infinity to +infinity
Homework Equations
Residue theorem.
The Attempt at a Solution
1/(1+z^4) so z^4 = -1
I know I should be using the residues at z = -sqrt(i) and z= i*sqrt(i)
I am getting a complex number as an answer which makes no sense
residue at z = -sqrt(i) = 1/(4*i*sqrt(i))
and at z = i*sqrt(i) = 1/(4*sqrt(i))
and therefore integral of (1/1+z^4) = 2pi*i* sum of those residues
Am I on the right track?