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Evaluate the surface integral S F d S for the given vector field F and the oriented surface S . In other words, find the flux of F across S .
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)