use the divergence theorem to find the outward fluc 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 $. \[ F=x^{3} i-3 x^{2$

Use the divergence theorem to find the outward flux of $ F $ across the boundary of the region $ D $. \[ F=x^{3} i-3 x^{2} y j+4 x z k \] D: The region cut from the first octant by the sphere $ x^{2}+y^{2}+z^{2}=4 $ The outward flux is (Type an exact answer, using $ \pi $ as needed.)

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use the divergence theorem to find the outward fluc 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 $. \[ F=x^{3} i-3 x^{2$

Use the divergence theorem to find the outward flux of $ F $ across the boundary of the region $ D $. \[ F=x^{3} i-3 x^{2} y j+4 x z k \] D: The region cut from the first octant by the sphere $ x^{2}+y^{2}+z^{2}=4 $ The outward flux is (Type an exact answer, using $ \pi $ as needed.)

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