Question

The area bounded by the line $y=x,x$-axis and ordinates $x=-1\text{and}x=2$ is

• A. $\frac{3}{2}$
• B. $\frac{5}{2}$
• C. $2$
• D. $3$

Answer 1

The correct option is B $\frac{5}{2}$



Required area$=|\underset{-1}{\overset{0}{\int }}xdx|+\underset{0}{\overset{2}{\int }}xdx$
$=|\frac{1}{2}|+2=\frac{1}{2}+2=\frac{5}{2}$