Down the Road to Infinity

Calculus Level 5

{y=0y=(2x)+x24y=(2+x)x2+4\begin{cases} y=0 \\ y=(2-x)+\sqrt{x^2-4} \\ y=(2+x)-\sqrt{x^2+4} \end{cases}

Let the area bounded by the curves above be AA. Find 100A\lfloor 100A\rfloor

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