Verify Green's Theorem by evaluating both integrals [ (2x 7 dx + x² dy = √ √ (³N- aM) d. dA ax for the given path. C: boundary of the region lying between the graphs of y=x and y = x² y² dx + x² dy = ам √ (3N-3M) DA. dA ax ay

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 3E
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Verify Green's Theorem by evaluating both integrals
√₁ 7 dx + x² dy = √ √ (³N_ am) d.
dA
ax
for the given path.
C: boundary of the region lying between the graphs of y=x and y = x²
y² dx + x² dy =
ам
√ (3N-3M) DA.
dA
ax ay
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals √₁ 7 dx + x² dy = √ √ (³N_ am) d. dA ax for the given path. C: boundary of the region lying between the graphs of y=x and y = x² y² dx + x² dy = ам √ (3N-3M) DA. dA ax ay
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