Now you'll evaluate the integral

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}3ysin(4x)dx+2xydy$

on the closed curve $C$ consisting of the line segments from $(0,0)$ to $(4,2)$ to $(0,2)$ to $(0,0)$ using Green's Theorem. Green's Theorem says this integral can be rewritten in the form

${}_{D}f(x,y)dA$