Suppose F⃗(x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 9 centered at the origin oriented counterclockwise. Using your parametrization in part (a), set up an integral for calculating the circulation of F⃗ around C.

Answer 1

the circulation is ∫F(r) dr = area * ∇xF
you can choose which makes you more comfortable.