Please show your work so that I can understand how to solve.Thank you.
Write out the parametric integral for the circle of radius 2 centered at the origin: (do NOT evaluate) (-ydx + xdy)/x2+2y2= Write out the parametric integral for the ellipse E parametrized by x(theta) =Cos[theta] and y[theta] = Sin[theta] / 2: (-ydx + xdy)/x2+2y2= If Swirl[F]=0 and F is smoothly defined on the punctured plane X 0, show that F[X] dX gives the same value for any simple closed curve that has the origin in its interior. Find the value of both integrals above.
