A) \[\frac{3}{2}-\frac{1}{{{\log }_{e}}2}\]
B) \[\frac{1}{2}\]
C) \[{{\log }_{e}}2+\frac{3}{2}\]
D) \[\frac{3}{2}\]
Correct Answer: A
Solution :
Required Area\[\int\limits_{0}^{1}{\left( \left( x+1 \right)-{{2}^{x}} \right)}dx\] \[=\left( \frac{1}{2}+1-\frac{2}{\ln 2} \right)-\left( 0+0-\frac{1}{\ln 2} \right)\] \[=\frac{3}{2}-\frac{1}{\ln 2}\]You need to login to perform this action.
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