Editing Divergence theorem (section)

===Multiple dimensions===
One can use the [[Generalized Stokes' theorem|generalised Stokes' theorem]] to equate the {{mvar|n}}-dimensional volume integral of the divergence of a vector field {{math|'''F'''}} over a region {{mvar|U}} to the {{math|(''n'' − 1)}}-dimensional surface integral of {{math|'''F'''}} over the boundary of {{mvar|U}}:

:<math> \underbrace{ \int \cdots \int_U }_n \nabla \cdot \mathbf{F} \, \mathrm{d}V = \underbrace{ \oint_{} \cdots \oint_{\partial U} }_{n-1} \mathbf{F} \cdot \mathbf{n} \, \mathrm{d}S </math>

This equation is also known as the divergence theorem.

When {{math|''n'' {{=}} 2}}, this is equivalent to [[Green's theorem]].

When {{math|''n'' {{=}} 1}}, it reduces to the [[fundamental theorem of calculus]], part 2.