Evaluate The Surface Integral S F D S For The Given Vector Field F And The Orien

Evaluate the surface integral ∫∫S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.

F(x, y, z) = x i + 3y j + 4z k

S is the cube with vertices (+1,+1,+1)