QJEEM19Maa280: JEE Main 2019 Mathematics - Class 12 JEEM19Maa280 Solution: The area (in sq.units) of the region bounded by the curves y =…

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The area (in sq.units) of the region bounded by the curves y = 2^x and y = |x + 1|, in the first quadrant is :

Accepted Answer

Required area =

\int_{0}^{1} ((x + 1) - 2^{x}) d x

\Rightarrow {(\frac{x^{2}}{2} + x - \frac{2^{x}}{\log_{e} 2})}_{0}^{1}

\Rightarrow \frac{3}{2} - \frac{1}{\log_{e} 2}

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