Question

Area of the region bounded by $y=\left[x\right]$ ,the $x-axis$ and the ordinates $x=1$,$x=2$ is

• A. $2$
• B. $1$
• C. $\frac{1}{2}$
• D. None of these

Answer 1

The correct option is B $1$

For $x=1$ and $x=2$

$\left[x\right]=1Area={\int }_1^{2}1dx={\left[x\right]}_1^2=(2-1)=1squareunit$