Suppose that ƒ and g are analytic in the region A and suppose that g'(z) ± 0 for all z Є A; Suppose that g is 1-1 and let y be a closed curve in A. Prove that for z 1. f(z) · I(v; z) = g'(z) Σπί ƒ(S) ds. Hint: Use the Cauchy Integral Formula and apply it to h(C) = ƒ(C)(S-2) 9(S)-9(2) forz = S and h(5) = f(S). Here I (Y; zo) g'(5) I(Y; zo) times. Use this result and apply it to the case where g(z) = e². 2πi Sy dz 2-20 " and winds around zo,

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