JEE Main 2024 — 4 April, Shift 1 — Question 9

Let $f\left( \text{x} \right)=\left\{ \begin{matrix}-2, & -2\le \text{x}\le 0 \\\text{x}-2, & 0<\text{x}\le 2 \\\end{matrix} \right.$ and $\text{h}\left( \text{x} \right)=\text{f}\left(\left| \text{x}\right| \right)+\left| \text{f}\left( \text{x} \right) \right|$.Then $\int _{-2}^{2}\text{ }\!\!~\!\!\text{ h}\left( \text{x} \right)\text{dx}$ is equal to :