Stokes' Theorem states that if there is an n-dimensional orientable manifold M {\displaystyle {\mathcal {M}}} with boundary ∂ M {\displaystyle \partial {\mathcal {M}}} , and if there is a form ω {\displaystyle \omega } (with compact support) defined on the manifold, then the following is true:
∫ M d ω = ∫ ∂ M ω {\displaystyle \int _{\mathcal {M}}d\omega =\int _{\partial {\mathcal {M}}}\omega }
