(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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.

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# Residue of a branch cut

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