divergence theorem

Given that $\vec{F}(x, y, z) = \sin(y) \hat{x} + \cos(x) \hat{y} + 5 \hat{z}$, the integral $\oiint_S \vec{F}(x, y, z) \cdot d\vec{s}$ over the unit sphere S centered at the origin...

Given a vector field $$\overrightarrow F ,$$ the divergence theorem states that

Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that