Stokes Theorem Help, please?

Let F= (xy, yz, xz) and C is the boundary of S, the surface z = 4 - x^2 for 0 ≤ x ≤ 2 and -6 ≤ y ≤ 6, oriented upward. Use Stokes' Theorem to find c∫F · dr (The integral over the curve of the vector field F dot dr).