Course Contents $$ PROBLEM SET $12$ divergence$-4$

Use the Divergence Theorem to evaluate ${}_{S}F*dS$ where

$F=($:$3x^3,3y^3,4z^3$:$)$

and $S$ is the sphere $x^2+y^2+z^2=25$ oriented by the outward normal.

The surface integral equals $$

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