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