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b) Using the Residue Theorem (or otherwise) compute the follo- wing integrals (all the curves are positively oriented; state all the theorems/propositions that are used in the solution) 1/2 e² dz iii) √ (7-1)² (2+1) 2 i) S z²++ dz ü) S ½½e ²² dz 121=122-22 121=1 Sinz 121=2 (2 + 1) 3 dz v) S 12-11 = 5/2/2 dz 12-1-11=2 dz (2-5)(z+1)4

b) Using the Residue Theorem (or otherwise) compute the follo- wing integrals (all the curves are positively oriented; state all the theorems/propositions that are used in the solution) 1/2 e² dz iii) √ (7-1)² (2+1) 2 i) S z²++ dz ü) S ½½e ²² dz 121=122-22 121=1 Sinz 121=2 (2 + 1) 3 dz v) S 12-11 = 5/2/2 dz 12-1-11=2 dz (2-5)(z+1)4

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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b) iv)

b) Using the Residue Theorem (or otherwise) compute the follo- wing integrals (all the curves are positively oriented; state all the theorems/propositions that are used in the solution) 1/2 e² dz iii) √ (7-1)² (2+1) 2 i) S z²++ dz ü) S ½½e ²² dz 121=122-22 121=1 Sinz 121=2 (2 + 1) 3 dz v) S 12-11 = 5/2/2 dz 12-1-11=2 dz (2-5)(z+1)4
Transcribed Image Text:b) Using the Residue Theorem (or otherwise) compute the follo- wing integrals (all the curves are positively oriented; state all the theorems/propositions that are used in the solution) 1/2 e² dz iii) √ (7-1)² (2+1) 2 i) S z²++ dz ü) S ½½e ²² dz 121=122-22 121=1 Sinz 121=2 (2 + 1) 3 dz v) S 12-11 = 5/2/2 dz 12-1-11=2 dz (2-5)(z+1)4
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