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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.)

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.)

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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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 

Where did the 2! ( two factorial in equation 2  in your answer comes from?) 

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