z = x Let be the curve of intersection of the cylinder x ^ 2 + y ^ 2 = 1 and the plane , oriented positively when viewed from above . Let S be the inside of this curve , oriented with upward -pointing...

z = x Let be the curve of intersection of the cylinder x ^ 2 + y ^ 2 = 1 and the plane , oriented positively when viewed from above . Let S be the inside of this curve , oriented with upward -pointing normal . Use Stokes ' Theorem to evaluate iint S curl F* dS if F = yi + zj + 2xk .