18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of the following integrals: L₁ = 2- (a). dz, (b). (d). ₁ = 22+2 [ dz, (e). √, z COS 2 dz dz, (c). L (2z+1)2dz, z(z+1)' (1). [e² si 1 sin z+ dz. (22+3)2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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18.9. Let denote the boundary of the rectangle whose vertices are
-2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of
the following integrals:
L₁ =
2-
(a). dz, (b).
(d). ₁ =
22+2
[
dz, (e). √, z
COS 2
dz
dz,
(c). L
(2z+1)2dz,
z(z+1)'
(1).
[e² si
1
sin z+
dz.
(22+3)2
Transcribed Image Text:18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of the following integrals: L₁ = 2- (a). dz, (b). (d). ₁ = 22+2 [ dz, (e). √, z COS 2 dz dz, (c). L (2z+1)2dz, z(z+1)' (1). [e² si 1 sin z+ dz. (22+3)2
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