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Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y + 9e√x) dx + (10x + 9 cos(y²)) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y²

Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y + 9e√x) dx + (10x + 9 cos(y²)) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y²

Calculus For The Life Sciences
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
Section7.5: The Area Between Two Curves
Problem 25E: Find the area between the curves in Exercises 1-28. x=0, x=4, y=cosx, y=sinx
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Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y + 9e√x) dx + (10x + 9 cos(y²)) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y²
Transcribed Image Text:Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y + 9e√x) dx + (10x + 9 cos(y²)) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y²
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