1. Perform the following integrations along the indicated contours. You can use any method you like. e² 1=-=-29 b) a) -dz, c) C the unit circle | z = 1 cos(22) z(z-2) e) {z^e/dz C the circle | z-i |= 42 -dz, C the circle |z-3 = 2 d) et: dz -dz, C the square with corners 1, i, -1, and -i. 2z+1 z² (z² +1) -dz, C the circle | z = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Perform the following integrations along the indicated contours. You can use any method you like.
e²
1=-=-29
b)
a)
-dz,
c)
C the unit circle | z = 1
cos(22)
z(z-2)
e) {z^e/¹dz C the circle | z-i |= 42
-dz, C the circle |z-3 = 2
d)
et
dz
-dz, C the square with corners 1, i, -1, and -i.
2z+1
-dz,
z²(z² +1)
C the circle | z = 2
Transcribed Image Text:1. Perform the following integrations along the indicated contours. You can use any method you like. e² 1=-=-29 b) a) -dz, c) C the unit circle | z = 1 cos(22) z(z-2) e) {z^e/¹dz C the circle | z-i |= 42 -dz, C the circle |z-3 = 2 d) et dz -dz, C the square with corners 1, i, -1, and -i. 2z+1 -dz, z²(z² +1) C the circle | z = 2
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