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5. Calcluate the integral below in two ways, where C is the circle centered at z = 0 of radius , traversed in the counter-clockwise direction: la z(2 – 1) 32 - 2 dz : ww (a) Use the Cauchy Integral Formula. 3z - 2 2 (b) Use Cauchy's Residue Theorem (Hint: z(z – 1)

5. Calcluate the integral below in two ways, where C is the circle centered at z = 0 of radius , traversed in the counter-clockwise direction: la z(2 – 1) 32 - 2 dz : ww (a) Use the Cauchy Integral Formula. 3z - 2 2 (b) Use Cauchy's Residue Theorem (Hint: z(z – 1)

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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5. Calcluate the integral below in two ways, where C is the circle centered at z = 0 of radius , traversed in the counter-clockwise direction: 3z -- 2 Jo z(2 – 1) dz : (a) Use the Cauchy Integral Formula. 3z - 2 2 (b) Use Cauchy's Residue Theorem (Hint: %3D z(z – 1)
Transcribed Image Text:5. Calcluate the integral below in two ways, where C is the circle centered at z = 0 of radius , traversed in the counter-clockwise direction: 3z -- 2 Jo z(2 – 1) dz : (a) Use the Cauchy Integral Formula. 3z - 2 2 (b) Use Cauchy's Residue Theorem (Hint: %3D z(z – 1)
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