question_answer

Area enclosed by the graph of \[y=\ell n(x+1),\] \[y-axis,\]and the line \[y=1\]is,

A)  \[e-2\]             

B)  \[e-1\]

C)  e                                 

D)  2e

Correct Answer: A

Solution :

\[A=\int\limits_{0}^{1}{({{e}^{y}}-1)\,dy={{e}^{y}}-y]_{0}^{1}}\]=(e-1)-(1-0)\[=e-2\]