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Area Under The Curves

JEE Main 2023 (Online) 15th April Morning Shift

INTEGER+4 / -12023
If the area bounded by the curve $2 y^{2}=3 x$, lines $x+y=3, y=0$ and outside the circle $(x-3)^{2}+y^{2}=2$ is $\mathrm{A}$, then $4(\pi+4 A)$ is equal to ____________.

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