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2- Assume that x, y e R and z = x + iy E C and answer the followings. Calculate the reel integrals for a given countours. C2 C3 1 dx 120° a- x=0 x3+1 R C1 Figure of section a

2- Assume that x, y e R and z = x + iy E C and answer the followings. Calculate the reel integrals for a given countours. C2 C3 1 dx 120° a- x=0 x3+1 R C1 Figure of section a

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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2- Assume that x, y E R and z = x + iy E C and answer the followings. Calculate the reel integrals for a given countours. C2 1 dx x3+1 00 120° a- l= Jx=0 R C1 Figure of section a
Transcribed Image Text:2- Assume that x, y E R and z = x + iy E C and answer the followings. Calculate the reel integrals for a given countours. C2 1 dx x3+1 00 120° a- l= Jx=0 R C1 Figure of section a
(Hint: Firstl consider complex form of integral For example : In section a, Scz dz, show that S. (...) = I and ſo(...) = 0 . For : z3+1 Sa (...), find the relationship between . ...) and I by using z=R elo transform .Finally find the I thanks to 2ni EResidue = Sc,+c,+c,C…..) )
Transcribed Image Text:(Hint: Firstl consider complex form of integral For example : In section a, Scz dz, show that S. (...) = I and ſo(...) = 0 . For : z3+1 Sa (...), find the relationship between . ...) and I by using z=R elo transform .Finally find the I thanks to 2ni EResidue = Sc,+c,+c,C…..) )
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