Evaluate the contour integral sin(z) z² +4 in the separate cases where I denotes the simple, closed, anticlockwise contour whose points lie on: 5572 i. the circle {z € C : |zi| = 2}, and ii. the circle {z E C : |z5| = 1}. dz For any Theorem(s) that you use to calculate these values, briefly explain why the hypotheses are satisfied.

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