Theorem 23.4 (Cauchy Integral Formula, General Version). Suppose that f(z) is analytic inside and on a simply closed contour C oriented counterclockwise. If z is any point inside C, then n! f(n) (2) = 22²1 / (( - 2)²+1 ds₁ 2πί - n = 1, 2, 3, .... Let g(2) => Evaluate the integral using Theorem 23.4. . n=1 1 e² g² (2) 23 dz. 2πi / 2nn

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