Use Green's Theorem to evaluate the line integral along the given positively oriented curve:

$\displaystyle \int_{C}F \cdot dr, F = (y^2 - x^{2}y)i + xy^2j$

C consists of the circle $\displaystyle x^2 + y^2 = 16$ from (4, 0) to $\displaystyle (2\sqrt{2}, 2\sqrt{2})$ and the line segments from $\displaystyle (2\sqrt{2}, 2\sqrt{2})$ to (0, 0) and from (0, 0) to (4, 0).