. 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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