Let $C$ be the closed,piecewise curve figured by traveling in straight lines between the points $(-2,1),(-2,-3),(1,-1),(1,5)$ and back to $(-2,1)$, in that order. Use Green's Theorem to evaluate the integral:
$$\int_C (2 x y)dx + (x y^2)dy$$
So far I have used Green's Theorem and calculated the vector form of Green's Theorem. Since the region enclosed by C is y-simple, we can set up the double integral to first integrate in terms of $y(x)$ then $x$. However, I am not getting the same answer as the book.