Question: vec ( F ) ( x , y ) = ( 2 x - 2 y ) v e c ( i ) + 5

vec(F)(x,y)=(2x-2y)vec(i)+5xvec(j)
and C is the counter-clockwise oriented sector of a circle centered at the origin with radius 4 and central angle 6.
Use Green's theorem to calculate the circulation of vec(F) around C.
Circulation =

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