Use the Divergence Theorem to find the outward flux of F across the boundary of the region D. Use the Divergence Theorem to find the outward flux of F across the boundary of the region D.

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THEOREM 8-Divergence Theorem Let F be a vector field whose compo- nents have continuous first partial derivatives, and let S be a piecewise smooth oriented closed surface. The flux of F across S in the direction of the surface's outward unit normal field n equals the triple integral of the divergence V F over the region D enclosed by the surface: [[ F-n dr = [[[ · Fav. dV. S Outward flux Divergence integral (2)