Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise The circulation line integral of F = (2xy²,5x³ + y) where C is the boundary of {(x,y): 0 ≤ y ≤ sinx, 0≤x≤} 29 fF.dr = 22²-60 с (Type an exact answer, using as needed.)

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 26E: Find the area between the curves in Exercises 1-28. x=0, x=/4, y=sec2x, y=sin2x
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Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise
The circulation line integral of F = (2xy²,5x³ + y) where C is the boundary of {(x,y): 0 ≤ y ≤ sinx, 0≤x≤}
29
fF.dr = 22²-60
с
(Type an exact answer, using as needed.)
Transcribed Image Text:Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise The circulation line integral of F = (2xy²,5x³ + y) where C is the boundary of {(x,y): 0 ≤ y ≤ sinx, 0≤x≤} 29 fF.dr = 22²-60 с (Type an exact answer, using as needed.)
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