Compute the following integral by hand, using an appropriately chosen contour integral in the complex plane. c2π S [th* cos² (9) de 0 (Hint: write cos() = 1/(eiº + e-iº) and integrate a closed contour around the origin with |z| = 1.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 15E
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Compute the following integral by hand, using an appropriately chosen contour integral in
the complex plane.
• 2πT
[**
0
cos² (0) de
(Hint: write cos(0) = ½(eiº + e-iº) and integrate a closed contour around the origin with
|z| = 1.)
Transcribed Image Text:Compute the following integral by hand, using an appropriately chosen contour integral in the complex plane. • 2πT [** 0 cos² (0) de (Hint: write cos(0) = ½(eiº + e-iº) and integrate a closed contour around the origin with |z| = 1.)
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how did Z^2  becomes Z^3 in the denominator 

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