Green's theorem
![If D is a simple region with its boundary consisting of the curves C1, C2, C3, C4, half of Green's theorem can be demonstrated.](/Images/godic/202501/16/Green's-theorem-simple-region.svg2504.png")
In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. It is named after George Green and is the two-dimensional special case of the more general Kelvin–Stokes theorem.