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Let D be the circle |z| = 3, oriented counterclockwise. For any positive integer n compute the contour integral Your answer should depend on n. n +1 L ( == 2)" d= dz

Let D be the circle |z| = 3, oriented counterclockwise. For any positive integer n compute the contour integral Your answer should depend on n. n +1 L ( == 2)" d= dz

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Let \( D \) be the circle \( |z| = 3 \), oriented counterclockwise. For any positive integer \( n \), compute the contour integral \[ \int_D \left( \frac{z+1}{z-2} \right)^n \, dz \] Your answer should depend on \( n \).
Transcribed Image Text:**Problem Statement:** Let \( D \) be the circle \( |z| = 3 \), oriented counterclockwise. For any positive integer \( n \), compute the contour integral \[ \int_D \left( \frac{z+1}{z-2} \right)^n \, dz \] Your answer should depend on \( n \).
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