A special case of Stokes' Theorem in which is a Vector Field and is an oriented, compact embedded
2-Manifold with boundary in , given by
There are also alternate forms. If
See also Change of Variables Theorem, Curl, Stokes' Theorem
Arfken, G. ``Stokes's Theorem.'' §1.12 in
Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 61-64, 1985.