Let y be the boundary of the rectangle whose vertices are at 2+ i, -1 + i, -1- 3i, and 2 3i traversed once and counterclockwise. Using the Cauchy residue theorem, calculate the following integral: - sin z $ (z − 1)² (2²+4) dz
Let y be the boundary of the rectangle whose vertices are at 2+ i, -1 + i, -1- 3i, and 2 3i traversed once and counterclockwise. Using the Cauchy residue theorem, calculate the following integral: - sin z $ (z − 1)² (2²+4) dz
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 52E
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And explain how the Cauchy residue theorem have been used
![Let y be the boundary of the rectangle whose vertices are at 2+
i, -1 + i, -1- 3i, and 2 3i traversed once and counterclockwise. Using the
Cauchy residue theorem, calculate the following integral:
sin z
$ (z − 1)² (2²+4)
dz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd6d13ba-0e95-463a-9271-d63164139141%2F2f3355d2-6aa2-4cd8-b539-f88d9746fae8%2Ffyg1qm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let y be the boundary of the rectangle whose vertices are at 2+
i, -1 + i, -1- 3i, and 2 3i traversed once and counterclockwise. Using the
Cauchy residue theorem, calculate the following integral:
sin z
$ (z − 1)² (2²+4)
dz
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