# Imaginary Powers / Residues : Allowing z = x + iy, find all of the roots for z^i=-2i. AND By evaluating residues only, solve integral (-infinity --> infinity) xsinx/(x2 -2x =2)^2 dx

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1. Allowing z = x + iy, find all of the roots for z^i=-2i.

2. By evaluating residues only, solve integral (-infinity --> infinity) xsinx/(x2 -2x =2)^2 dx

https://brainmass.com/math/complex-analysis/imaginary-powers-residues-allowing-functions-60032

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1. Solve

Then we get the ...

#### Solution Summary

Imaginary ( complex ) powers and residues are investigated. The solution is detailed and well presented.

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