Please show your work so that I'm able to understand how tosolve. Thank you.
Write out the parametric integral for the circle C of radius 2 centered at the origin: (do NOT evaluate) (-y dx + x dy)/x2 + 2y2= Write out the parametric integral for the ellipse E parametrized by x[theta] = Cos [theta] and y[theta] = Sin [theta] / 2: ((-y dx + x dy)/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.
