Question

The area enclosed between the curve $y=lo{g}_e(x+e)$ and the coordinate axes is

Answer 1

Answer: 1

Required area $\left(OAB\right)=\underset{1-e}{\overset{0}{\int }}ln\left(x+e\right)dx$
$={\left[xln\left(x+e\right)-\int \frac{1}{x+e}xdx\right]}_{1-e}^0$
$={\left[\left(x+e\right)log\left(x+e\right)-x\right]}_{1-e}^0=1$