4. (1 Point) The standard application of Green's Theorem trades in a line integral for a (hopefully easier) double integral. However, there are some cases where you may want to trade in a double integral for a (hopefully easier) line integral. In particular, Green's Theorem can sometimes be used to nd the area of a planar region. The curve generated by following the height of a single point on a circle as the circle rolls along a straight line is called a cycloid.1 One arch of a cycloid can be parameterized by the vector function r(t) = {t si_n (t), 1 cos {0) , for 0 S t 5 2m Use the vector eld F[m,y) = (y,0) with Green's Theorem to nd the area between one arch of the cycloid and the maxis