[tex]\int_\alpha\frac{1}{z^2}dz[/tex](adsbygoogle = window.adsbygoogle || []).push({});

I can't figure out how to integrate this over a closed circle which contains the origin on its interior. I'm assuming it is equal to 2πi; is there a way to apply Cauchy's Integral Theorem? If I set f(z)=1/z then that is not analytic on the interior, so I don't see how I can apply the theorem.

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# Integrate 1/z^2 Over a Closed Curve

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