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 :

Question

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 :

Correct Answer

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