I'd like to calculate $\int_{\phi}^{} \frac{z^2}{z^3-1}dz$ where $$\phi(0)=i,\phi(1)=-1, \phi: [0,1] \rightarrow C$$ and $\phi((0,1)) \subset \left\{ z:|z|<1\right\}$ It seems pretty easy and straightforward, it definately requires applying Cauchy formula (after the path is enclosed by second path let's say: $\alpha(t)=-(1-t)$ for $t \in [0,1] $ and then $ \delta(t) = ti $) but it gets rather messy and thus I believe I've missed somethink.Thank you for all your answers.
2026-04-13 08:55:22.1776070522
Calculating complex integral over contour
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