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Joint Entrance Examination
Mathematics
Area Under Curves
Question 200
Question 200 of 230
Medium
MCQ
The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
A
\[{1 \over 2}\]
B
\[{3 \over 2}\]
C
\[{3 \over 2} - {1 \over {\log _e^2}}\]
D
\[\log _e^2 + {3 \over 2}\]
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Official solution
Required area = \[\int\limits_0^1 {((x + 1) - {2^x})dx} \] \[ \Rightarrow \left( {{{{x^2}} \over 2} + x - {{{2^x}} \over {{{\log }_e}2}}} \right)_0^1\] \[ \Rightarrow {3 \over 2} - {1 \over {{{\log }_e}2}}\]
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