Question

How am I doing?
Use Green's Theorem to evaluate the line integral along the given positively orientation.
\[\int_c xy^2dx+2x^2ydy\]
C is the triangle with vertices (0,0), (2,2), and (2,4)
\[\int_c p dx+qdy=\int\int_R \left(\frac{dq}{dx}-\frac{dp}{dy}\right)dxdy\]
\[p=xy^2\]
\[\frac{dp}{dy}=2xy\]
\[q=2x^2y\]
\[\frac{dq}{dx}=4xy\]
\[\frac{dq}{dx}-\frac{dp}{dy}=4xy-2xy=2xy\]