I have to find $$\iint\limits_{s} \vec{F}.\vec{n} ds$$ where
$$\vec{F} = 2x^2y \vec{i} - y^2\vec{j} + 4xz^2 \vec{k}$$ and the surface S is the region bounded by the cylinder $$y^2 + z^2 = 3$$ and $$0 \le x \le 2, y \ge , z \ge 0$$
From Gauss divergence theorem we have,
$$\iint\limits_{s} \vec{F}.\vec{n} ds = \iiint\limits_{V} div \vec{F} dv$$
so, $$div \vec{F} = 4xy - 2y + 8xz$$
How to find the limits of integration for this?