compute Z= integral (z −a)^n dz where |z-a|=r is the countour where n is a given integer

Question

compute Z= integral (z −a)^n dz where |z-a|=r is the countour where n is a given integer
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Solution 1

To compute the integral Z = ∫(z - a)^n dz, where |z - a| = r is the contour and n is a given integer, we can follow these steps:

Step 1: Parameterize the contour |z - a| = r. Let z = a + re^(iθ), where θ is the parameter ranging from 0 to 2π.

Step 2: Substitute the parameterization into the int Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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