A particle starts at the point (-3, 0), moves along the x-axis to (3, 0) and then along the semicircle y = \sqrt{9 - x^2} to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = (24x, 8x^3 + 24xy^2).
(Hint: Work done by a force field F along a curve C is given by the line integral \int_{C} F \cdot dr.)