Consider the two arcs of the unit circle (note that C1 U C2 form the boundary of the unit circle): C1 : - <0
Consider the two arcs of the unit circle (note that C1 U C2 form the boundary of the unit circle): C1 : - <0
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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Transcribed Image Text:Consider the two arcs of the unit circle (note that C1 U C, form
the boundary of the unit circle):
C1 : -5<0ST
C2 : T <O<
Perform the following 4 integrals:
2
i. So, dz/z
ii. Sc, dz/z
iii. fiel=1 dz/z
iv. fiel=1 zdz
v. Explain how the 4 integrals are related by the Cauchy-Goursat
theorem.
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