Find the ux of the vector eld F = (- y,x,1) across the cylinder y = 6x2, for O S x S 2, 0 S 2 S 3. Normal vectors point in the general direction of the positive yaxis. ) Parametrize the surface using u = x and v = 2. Set up the integral that gives the ux as a double integral over a region R in the uv-plane