Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 17RE
Related questions
Question
![Apply Green's Theorem to the
evaluate
integrad
O (3xy+4y) dy
C6x+y) dx +
C: Any simple clojed
curve in the plane for
nehich
Greenls Theorem holds
There is ot
enough in fomtim
of
5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4f46a7d-33e6-4d1b-8c9b-a4f6142b1fc8%2F693b47ea-2c3c-4fc0-b726-8a4facc8058b%2Fekrfu4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Apply Green's Theorem to the
evaluate
integrad
O (3xy+4y) dy
C6x+y) dx +
C: Any simple clojed
curve in the plane for
nehich
Greenls Theorem holds
There is ot
enough in fomtim
of
5)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given integration is
C : Any simple curve in the plane for which Green's theorem holds.
Green's theorem states that,
--- (1)
Step 2
Comparing the given integral with the Green theorem we get,
Differentiating P partially with respect to y we get,
--- (3)
Differentiating Q partially with respect to x we get,
---- (4)
Step by step
Solved in 3 steps
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