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Area Under The Curves

JEE Main 2021 (Online) 27th July Morning Shift

MCQ+4 / -12021
If the area of the bounded region
\(R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2} \right\}\) is ,
\(\alpha {({\log _e}2)^{ - 1}} + \beta ({\log _e}2) + \gamma\), then the value of \({(\alpha + \beta - 2\lambda )^2}\) is equal to :

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