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Evaluate the following integration w.r.t C sinpaiz + cos* pai*z^2/ (z 1)(z-2) dz, where C is the circle: |z-i| = 3.

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Question

Evaluate the following integration w.r.t C sin*pai*z + cos* pai*z^2/ (z 1)(z-2) dz, where C is the circle: |z-i| = 3.