The area (in sq. units) of the region bounded by the curves \( \mat...

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The area (in sq. units) of the region bounded by the curves \( \mathrm{y}=2^{\mathrm{x}} \) and \( \mathrm{y}=|\mathrm{x}+1| \), in the first quadrant is :
\( \mathrm{P} \)
[JEE Main - 2019(April)]
VV
(a) \( \frac{3}{2}-\frac{1}{\log _{e} 2} \)
(b) \( \frac{1}{2} \)
(c) \( \log _{\mathrm{e}} 2+\frac{3}{2} \)
(d) \( \frac{3}{2} \)
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