Question

The area bounded by the curves $y\ge 0,y\le |\ln \left(|x|\right)|$ and $|x|\le 1$ is

• A. $1\text{sq.units}$
• B. $2\text{sq.units}$
• C. $\frac{1}{2}\text{sq.units}$
• D. Indeterminate

Answer 1

The correct option is B $2\text{sq.units}$


$2\times {\int }_0^1(-\ln x)dx=2\times {(-x\ln x+x)}_0^1=2\text{sq.units}.$