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Area Under The Curves

JEE Main 2023 (Online) 30th January Evening Shift

INTEGER+4 / -12023
Let $A$ be the area of the region


$\left\{(x, y): y \geq x^2, y \geq(1-x)^2, y \leq 2 x(1-x)\right\}$.


Then $540 \mathrm{~A}$ is equal to :

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