Let C be the boundary of the triangle with vertices at the points 0, 3i and -4 oriented counterclockwise. Using Cauchy's Theorem, compute the contour integral int_{C} (e^{z} - ar{z}) , dz.
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It says that if a function is analytic (i.e., complex differentiable) everywhere within and on a simple closed contour C, then the contour integral of that function over C is zero. The function f(z) = z^2 - 2 is a polynomial and hence it is analytic everywhere in Show more…
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