ii. Use the basic definition of complex integration to evaluate the integral I $, z¹ dz, where the contour & is defined in the part (i). = Let the contour : [0,3] C be given by r(t) = { །ཀཿ་ Y1(t) = 2eint, Y2(t) = 2(t − 2), 0 ≤t ≤ 1 t< - i. Sketch the contour y on the complex plane t< 1 ≤ t≤ 3.
ii. Use the basic definition of complex integration to evaluate the integral I $, z¹ dz, where the contour & is defined in the part (i). = Let the contour : [0,3] C be given by r(t) = { །ཀཿ་ Y1(t) = 2eint, Y2(t) = 2(t − 2), 0 ≤t ≤ 1 t< - i. Sketch the contour y on the complex plane t< 1 ≤ t≤ 3.
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.
Chapter7: Integration
Section7.2: Substitution
Problem 22E
Question
![ii. Use the basic definition of complex integration to evaluate the integral I
$, z¹ dz, where the contour & is defined in the part (i).
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc05cf68-81ae-4970-8864-261fc4d70f9c%2F34822a69-a031-4430-a331-1a5fa7af7834%2F3vxuxwg_processed.png&w=3840&q=75)
Transcribed Image Text:ii. Use the basic definition of complex integration to evaluate the integral I
$, z¹ dz, where the contour & is defined in the part (i).
=
![Let the contour : [0,3] C be given by
r(t) = {
།ཀཿ་
Y1(t) = 2eint,
Y2(t) = 2(t − 2),
0 ≤t ≤ 1
t<
-
i. Sketch the contour y on the complex plane
t<
1 ≤ t≤ 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc05cf68-81ae-4970-8864-261fc4d70f9c%2F34822a69-a031-4430-a331-1a5fa7af7834%2F2dyoa6_processed.png&w=3840&q=75)
Transcribed Image Text:Let the contour : [0,3] C be given by
r(t) = {
།ཀཿ་
Y1(t) = 2eint,
Y2(t) = 2(t − 2),
0 ≤t ≤ 1
t<
-
i. Sketch the contour y on the complex plane
t<
1 ≤ t≤ 3.
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