Area of Region Bounded by Curves (Jee Mains)

Area Bounded by Curves

Medium

Area of Region Bounded by Curves

If the area of the region
$\left\{ {(x,y):\left| {4 - {x^2}} \right| \leqslant y \leqslant {x^2},y \leqslant 4,x \geqslant 0} \right\}$ is $\left( {\frac{{80\sqrt 2 }}{\alpha } - \beta } \right)$ , α, β ∈ N, then α + β is equal to _____.

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