Question

Area bounded by the lines $y=x,x=-1,x=2$ and x-axis is

• A. $\frac{5}{2}$ sq. unit
• B. $\frac{3}{2}$ sq. unit
• C. $\frac{1}{2}$ sq. unit
• D. $\frac{7}{2}$ sq. unit

Answer 1

Answer: (B)

$\frac{3}{2}$ sq. unit

Solution -

Area bounded by the lines $y=x,x=-1,x=2$ on x-axis

$A={\int }_{-1}^{2}dx=\left|{\int }_{-1}^{0}xdx\right|+\left|{\int }_0^{2}xdx\right|$

$A=\left|\right[\frac{x^2}{2}{]}_{-1}^0|+\left|\right[\frac{x^2}{2}{]}_0^2|$

$A=-\frac{1}{2}+2=\frac{3}{2}$ sq units