10. Evaluate the following contour integrals I1, I2 on two different contours each: C₁, the unit circle |z| = 1, and C2, the circle defined by |z-i + 4 = 10. In each case, draw the contours and mark the singularities of the integrand. I₁ = $ dz sin 22 (62 π)3; I₂ = - $o 30 (1+z)(2-2)(3+z) dz- (**)
10. Evaluate the following contour integrals I1, I2 on two different contours each: C₁, the unit circle |z| = 1, and C2, the circle defined by |z-i + 4 = 10. In each case, draw the contours and mark the singularities of the integrand. I₁ = $ dz sin 22 (62 π)3; I₂ = - $o 30 (1+z)(2-2)(3+z) dz- (**)
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:10. Evaluate the following contour integrals I1, I2 on two different contours each: C₁, the unit
circle |z| = 1, and C2, the circle defined by [zi + 4 = 10. In each case, draw the contours
and mark the singularities of the integrand.
₁1= $₁²
sin 2z
(6z — π)³¹
dz
I2
= $c
dz
30
(1+z) (2 − 2)(3+z)
(**)
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