Consider the line integral Z C F dr , where F (x, y, z) = D x2y, 1 3 x3 + sin y3 , xy + ez2 E and C is the intersection of z = y2 x2 and x2 + y2 = 1, oriented counterclockwise as viewed from above. Write 1 or 2 sentences about why it wouldn't be fun to evaluate Z C F dr directly, and then use Stokes' Theorem to evaluate Z C F dr . In your writeup, please also: Clearly state what surface S you're using and how it's oriented. Clearly indicate how you take the orientation of S into account when calculating flux through it