Calculate $\iint_\Omega \nabla \times \mathbf{V} \cdot \mathbf{n} \, dS$, given that $\mathbf{V} = (yz, -x^2yz, ze^{xy})$ and $\Omega$ is the surface $z = 2\sqrt{4 + x^2 + y^2}$, with normal $\mathbf{n}$ orientated upwards, bounded by $4(x^2 + y^2) = 9$. Do it both by using a simpler surface, and by evaluating the line integral. Do you get the same result?