NVAMediumJEE Main 2025 · 2 April, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

If the area of the region {(x,y):4x2yx2, y4, x0}\{(x, y): |4 - x^2| \leq y \leq x^2,\ y \leq 4,\ x \geq 0\} is (802αβ)\left(\frac{80\sqrt{2}}{\alpha} - \beta\right), α,βN\alpha, \beta \in \mathbb{N}, then α+β\alpha + \beta is equal to _____.

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