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. $Noneofthese$

Answer 1

The correct option is A $\frac{5}{2}sq.unit$

Required area $={\int }_{-1}^{2}ydx={\int }_{-1}^{0}y.dx+{\int }_0^{2}y.dx=\frac{5}{2}sq.unit$