# Use the Divergence Theorem to calculate the surface

2022-02-11

Use the Divergence Theorem to calculate the surface integral F · dS, that is, calculate the flux of F across S.
$F\left(x,y,z\right)={x}^{3}+cosyi+{y}^{3}sinxzj+{z}^{3}+2ek$
S is the surface of the solid bounded by the cylinder ${y}^{2}+{z}^{2}=4$ and the planes $x=0$ and $x=4$.

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