integrais AN ам Lyox+x2ay-L IN-am) ад y2 dx + x2 dy dA ?х ду r the given path. R C: square with vertices (0, 0), (4, 0), (4, 4), (0, 4) √ л y2 dx + x2 dy ƏN aM ду ?х Dy valuating dA ||

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
л
√ y² dx.
? dx + x2 dy =
for the given path.
АЛ
y2 dx + x2 dy
C: square with vertices (0, 0), (4, 0), (4, 4), (0, 4)
Lx2
AN ам
?х ду
dA
=
I
=
aN am
дх
ду
dA
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals л √ y² dx. ? dx + x2 dy = for the given path. АЛ y2 dx + x2 dy C: square with vertices (0, 0), (4, 0), (4, 4), (0, 4) Lx2 AN ам ?х ду dA = I = aN am дх ду dA
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