Please show your work so that I can understand how to solve.Thanks
Find the circulation G[X] middot dX for the vector field G[X] = (-y +x) around the unit radius circle C centered at the origin by using a parametric path integral/ Compute G[X] middot dX for the vector field G[X] = (-y +x) by using Green's theorem to convert the path integral. Is there a function f (x, y) so that f [x] = G[X] (or equivalently, df[X] = G[X] middot dX) for X in the closed disk of radius 1? Why or why not?
