et C be the contour starting at z = −2, going around the circle |z| = 2 erclockwise, and ending out at z = −2 again. Find the value of Jo Log(z) Z dz
et C be the contour starting at z = −2, going around the circle |z| = 2 erclockwise, and ending out at z = −2 again. Find the value of Jo Log(z) Z dz
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let \( C \) be the contour starting at \( z = -2 \), going around the circle \( |z| = 2 \) counterclockwise, and ending out at \( z = -2 \) again. Find the value of
\[
\int_{C} \frac{\log(z)}{z} \, dz
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa62f7b35-7db6-46d8-92c3-a45ad2747ea7%2Ff0759d23-6d62-46af-badc-4199f373bf5f%2Fb29h8s7_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( C \) be the contour starting at \( z = -2 \), going around the circle \( |z| = 2 \) counterclockwise, and ending out at \( z = -2 \) again. Find the value of
\[
\int_{C} \frac{\log(z)}{z} \, dz
\]
Expert Solution

Step 1: According to this given question
To evaluate the given contour integral
Step by step
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