Evaluate HC2z+3z dz where C is upper half of the circle |z| = 2 in clockwise direction

Question

Evaluate HC2z+3z dz where C is upper half of the circle |z| = 2 in clockwise direction
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Solution 1

To solve this integral, we will use the Cauchy Integral Formula. The Cauchy Integral Formula states that for a function f(z) that is analytic inside and on a simple closed contour C and for any point z0 inside C, the integral over C of f(z)/(z-z0) dz is 2πif(z0).

First, we rewrite the integral in t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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