# Green's Theorem

## Table of Contents

If \(\small P\) and \(\small Q\) are continuous functions of \(\small x\) and \(\small y\) over the region \(\small D\) with a closed path \(\small C\) that bounds \(\small D\), then Green’s theorem states that

$$ \oint_C Pdx + Qdy = \iint_D \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} dA $$

Honestly, just read Paul’s Online Notes, they’re great.

Green’s theorem can be thought of as a 2D version of Stokes’ theorem.