Green's Theorem Clarification

Plasmataco

New member
Joined
Aug 10, 2020
Messages
1
So I know that Green's Theorem states that if you have a closed Region R formed but Curve C and you have a vector field <M,N> then [MATH]\int_{C} F \cdot dr = \int\int_{R} (N/dx - M/dy) dA[/MATH]. I have just learned another formula however stating that [MATH]\int_{C} F \cdot dr = \int\int_{R} div(F) dA[/MATH]. I fail to see how these two equations are the same, since [MATH]div(F) = M/dx + N/dy[/MATH]... or did I get one of these equations wrong?
 
Top