I'm trying to calculate the integral $$\int_{|z|=1} \frac{dz}{z^{2}+2z} $$
From what I've understood I can replace the $z$ with $e^{it}$. So I have:
$$ \int_0^{2\pi} \frac{1}{e^{it2}+2e^{it}}ie^{it}dt $$
And now I compute it as a normal integral?
2026-03-29 07:21:07.1774768867
Complex integral! Am I doing it correctly?
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