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## Homework Statement

Use Green Theorem to calculate [tex]\oint[/tex][tex]\widehat{}F[/tex] [tex]\bullet[/tex] d[tex]\widehat{}r[/tex] where C is the closed triangular curve oriented counterclockwise with verticies P1(0,5), P2(0,2) and P3(3,5). vectorF(x,y)= xy^2 i + 4xy j

## Homework Equations

## The Attempt at a Solution

I first took the partial of F2 with respect to x = 4y

partial of F1 with respect to y = 2xy

[tex]\int[/tex][tex]\int[/tex]4y-2xy dA

I am not sure of what limits to use:

because it is oriented counter clockwise:

y-2[tex]\leq[/tex] x [tex]\leq[/tex] 0

5 [tex]\leq[/tex] y [tex]\leq[/tex] 2