Question
Asked Nov 20, 2019
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Use Green's Theorem to evaluate 

the integral of F · dr. over C

 (Check the orientation of the curve before applying the theorem.)

F(x, y) = 
(y2 cos(x), x2 + 2y sin(x))
 
C is the triangle from (0, 0) to (1, 3) to (1, 0) to (0, 0)
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Expert Answer

Step 1

Step 2

Sketch the triangle as,

y
(1,3)
3+
y 3x
24
14
(0, 0)
(1,0)
0
X
help_outline

Image Transcriptionclose

y (1,3) 3+ y 3x 24 14 (0, 0) (1,0) 0 X

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Step 3

...

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