$ \iint_S \nabla \times \mathbf F \cdot dS = \int_{\partial S} \mathbf F \cdot dr $
Where S is the disc $ x^2 + y^2 \le 1$ in the plane $z = 0 $
The vector Field is $ \mathbf F = x^2i + (2xy+x)j + zk $
I've worked out that $ \nabla \times \mathbf F = (2y+1)k $
Where do I go on from here?