Compute the flux \int_S (\nabla \times F) \cdot \vec{n} \, d\sigma where
(a) $F(x, y, z) = (x^2 + y, yz, x - z^2)$ and $S$ is the triangle defined by the plane $2x + y + 2z = 2$
inside the first octant, oriented by the unit normal pointing away from the origin.
(b) $F(x, y, z) = (x, y, 0)$ and $S$ is the paraboloid $z = x^2 + y^2$ inside the cylinder $x^2 + y^2 = 4$,
oriented by the upward pointing normal.
