SIF 4. Evaluate the surface integral F. dS in a vector field for the vector field F(x, y, z) = (x?, xy, z) and S is the part of the plane x + y +z = 2 above the region in the xy-plane given by 0 < x 51, 0 SY S1 in the xy-plane. Calculate that surface integral directly without the use of Stokes' Theorem. Show all your work. (5 points)