Consider the following theorem. 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, [1(2). 0+i f(z) dz = F(z₂) - F(zo). Use the theorem to evaluate the given integral. 9 Jc 424/2 dz, C is the arc of the circle z = 4et, . In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib. 9√/2 4 - 2st 2012
Consider the following theorem. 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, [1(2). 0+i f(z) dz = F(z₂) - F(zo). Use the theorem to evaluate the given integral. 9 Jc 424/2 dz, C is the arc of the circle z = 4et, . In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib. 9√/2 4 - 2st 2012
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
Section7.4: The Fundamental Theorem Of Calculus
Problem 62E
Related questions
Question
100%
![Consider the following theorem.
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,
0+i
[1(2).
Use the theorem to evaluate the given integral.
(
In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib.
f(z) dz = F(z₂) - F(zo).
9√/2
4
9
42¹/2
dz, C is the arc of the circle z = 4et, .
- 2st 2012](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b8502c6-77e6-4ad1-93a4-15893327988c%2F62400f32-5664-4706-abe4-62e4e88c2a47%2Fq4f63s3_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following theorem.
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,
0+i
[1(2).
Use the theorem to evaluate the given integral.
(
In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib.
f(z) dz = F(z₂) - F(zo).
9√/2
4
9
42¹/2
dz, C is the arc of the circle z = 4et, .
- 2st 2012
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Elements Of Modern Algebra](https://www.bartleby.com/isbn_cover_images/9781285463230/9781285463230_smallCoverImage.gif)
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,