$F(x,y) = (y^3-6y)i + (6x-x^3)j$
a. Using Green's Theorem, find the simple closed curve C for which the integral $ ∳F \cdot dr $ (with positive orientation) will have the largest positive value.
b. Compute this largest possible value.
I'm quite certain that this is just $ \iint Nx-My $ $dA$ but I do not know how to find the bounds in this scenario for both integrals. Though I'm also sure that this problem can also be done using just $ ∳ F \cdot dr $ as there is an equation given for F.