Divergence Theorem: Understanding and Applying in Vector Calculus

[member 428835]

hey pf! i had a general question with the divergence theorem. specifically, my text writes \iint_S \rho \vec{V} \cdot \vec{dS} = \iiint_v \nabla \cdot (\rho \vec{V}) where \rho is a scalar, although not necessarily constant! to properly employ the divergence theorem, would i first let \rho \vec{V}=\vec{V'} where \vec{V'} is the vector to use the divergence theorem with, thus offering the first written result?

thanks!

 

[arildno]

That is correct.