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## Homework Statement

I'm finding the residues of the branch cut of [tex] \int^\infty_0 \frac{dx}{x^{1/4}(x^2+1)}dx [/tex]

## Homework Equations

## The Attempt at a Solution

I am trying to find the residue of i

I am not sure how to handle lim z->i of [tex] \frac{1}{z^\frac{1}{4}(z+i)} [/tex]

Any nudges would be vastly appreciated.