# Evaluate the surface integral ∬SF⋅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)=2xi+2yj+zkWhere S is the cube with vertices (±3,±3,±3)

Question

Evaluate the surface integral ∬SF⋅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)=2xi+2yj+zk
Where S is the cube with vertices (±3,±3,±3)