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Contours and the Cauchy Integral Formula

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Let C be the boundary of the square of side length 4, centered at the origin, with sides parallel to the coordinate axes, and traversed counterclockwise. Evaluate each of the attached integrals.

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Contours and the Cauchy Integral Formula are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.