6. (Complex line integrals) (a) Compute the integral 2 dz where y is that part of unit circle which lies the upper half plane, oriented from 1 to -1. (b) Compute the integral where I is the line segment from -2i to 2i.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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6. (Complex line integrals)
(a) Compute the integral
* dz
where y is that part of unit circle which lies the upper half plane, oriented from 1 to -1.
(b) Compute the integral
where I' is the line segment from -2i to 2i.
Transcribed Image Text:6. (Complex line integrals) (a) Compute the integral * dz where y is that part of unit circle which lies the upper half plane, oriented from 1 to -1. (b) Compute the integral where I' is the line segment from -2i to 2i.
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