Use the following theorem to evaluate the given integral. Fundamental Theorem for Contour Integrals Suppose that a function is continuous on a domain D and F is an antiderivative of fin D. Then for any contour C in D with initial point zo and terminal point z₁, Iro Write the answer in the form a + ib. f(z) dz = F(z₂) - F(zo). L₁ (32²-42 + 4z + 4l) dz
Use the following theorem to evaluate the given integral. Fundamental Theorem for Contour Integrals Suppose that a function is continuous on a domain D and F is an antiderivative of fin D. Then for any contour C in D with initial point zo and terminal point z₁, Iro Write the answer in the form a + ib. f(z) dz = F(z₂) - F(zo). L₁ (32²-42 + 4z + 4l) 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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![Use the following theorem to evaluate the given integral.
Fundamental Theorem for Contour Integrals
Suppose that a function is continuous on a domain D and F is an antiderivative of f in D. Then for any contour C in D with initial point zo and terminal point z₁,
[[ 1(2) dz
f(z)
dz = F(z₂) - F(zo).
Write the answer in the form a + ib.
(32²-42-
4z + 4l) dz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b8502c6-77e6-4ad1-93a4-15893327988c%2Fd881153c-1778-47cd-9d92-2c54b9ced727%2Ffmye0na_processed.png&w=3840&q=75)
Transcribed Image Text:Use the following theorem to evaluate the given integral.
Fundamental Theorem for Contour Integrals
Suppose that a function is continuous on a domain D and F is an antiderivative of f in D. Then for any contour C in D with initial point zo and terminal point z₁,
[[ 1(2) dz
f(z)
dz = F(z₂) - F(zo).
Write the answer in the form a + ib.
(32²-42-
4z + 4l) dz
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