If the area of the bounded region \( R=\left\{(x, y): \max \left\{0, \log _{e} x\right\} \leq y ...

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If the area of the bounded region
\( R=\left\{(x, y): \max \left\{0, \log _{e} x\right\} \leq y \leq 2^{x}, \frac{1}{2} \leq x \leq 2\right\} \) is,
P
WV
\( \alpha\left(\log _{e} 2\right)^{-1}+\beta\left(\log _{e} 2\right)+\gamma_{1} \) then the value of \( (\alpha+\beta-2 \lambda)^{2} \) is equal to:
[JEE Main-2021]
(a) 8
(b) 2
(c) 4
(d) 1
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