question_answer

The area enclosed between the curve \[y=lo{{g}_{e}}\left( x+e \right)\] and the coordinate axes is

A) 1

B) 2

C) 3

D) 4

Correct Answer: A

Solution :

[a] Required area \[(OAB)\] \[=\int\limits_{1-e}^{0}{ln(x+e)dx}\] \[=\left[ x\,\,ln\,\,(x+e)-\int{\frac{1}{x+e}xdx} \right]_{0}^{1}=1\].