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. None of these

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