Evaluate [cos(z) + z² + z + Im(z)]dz, where C is the triangle with vertices z = 0, 2 z = 1, and z = 1 + 3i.
Question
Solution 1
To evaluate the given integral, we will use the Cauchy-Goursat theorem which states that the integral of an analytic function over a simple closed contour is zero.
The function f(z) = cos(z) + z² + z + Im(z) is analytic everywhere in the complex plane because it is composed of elementary functions Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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