(i) Sael-²dz, where C is the anticlockwise unit circle |2| = 2. (ii) ſadz, , where C is the anticlockwise unit circle |2| = 2. el-z 1-z (iii) ſcei=dz, , where C is the anticlockwise unit circle |2| = 2. (iv) Sa dz, , where C is the anticlockwise unit circle |z| = 2. 1-z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Question 1.
any methods you learnt.
Compute the following contour integrals. You may use
(i) Sael-dz, where C is the anticlockwise unit circle |z| = 2.
el-z
(ii) ſcdz, , where C is the anticlockwise unit circle |z| = 2.
%3D
C 1-z
(iii) ſaerdz, , where C is the anticlockwise unit circle |2|
(iv) ſ edz, , where C is the anticlockwise unit circle |z| = 2.
1-z
Transcribed Image Text:Question 1. any methods you learnt. Compute the following contour integrals. You may use (i) Sael-dz, where C is the anticlockwise unit circle |z| = 2. el-z (ii) ſcdz, , where C is the anticlockwise unit circle |z| = 2. %3D C 1-z (iii) ſaerdz, , where C is the anticlockwise unit circle |2| (iv) ſ edz, , where C is the anticlockwise unit circle |z| = 2. 1-z
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