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

We know sin(z) has zeros at integral multiples of pi. Let f(z) = z^{2}/sin^{2}(z)

How do I find the integral of f(z) dz around C1 (C1 is the circle |z| = 1 orientated anti-clockwise) and how do I find the integral of f(z) dz around C2 (C2 is the circle |z - pi| = 1 orientated anti-clockwise).

2. Relevant equations

3. The attempt at a solution

Do I use the Cauchy Integral formula for these integrals.

If not, how would I go about doing these.

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# Homework Help: Complex integral

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