. 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
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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![5. 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)
$₁ (2-
dz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e4d9fcf-6374-447f-8b72-118314acdae6%2Fc1da3616-1b9a-482b-9ca9-b6201e2bf8ca%2F4y9z2ok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. 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)
$₁ (2-
dz
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