√ y² dx + x² dy = √₂ R C for the given path. C: boundary of the region I y² dx + x² dy 2 =

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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Question
Verify Green's Theorem by evaluating both integrals
Jov²
y² dx + x² dy
2
JC
for the given path.
Scorz
y² dx + x² dy =
[ ] (ON-OM) d
ду
R
=
dA =
R
C: boundary of the region lying between the graphs of y = x and y = x²
ƏN
Әх
ƏM
Əy
dA
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals Jov² y² dx + x² dy 2 JC for the given path. Scorz y² dx + x² dy = [ ] (ON-OM) d ду R = dA = R C: boundary of the region lying between the graphs of y = x and y = x² ƏN Әх ƏM Əy dA
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