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

Answer: (A)

$\frac{5}{2}$sq. unit

Answer 2

Required area

$\int_{- 1}^{2}{ydx} = \int_{- 1}^{0}{y.dx + \int_{0}^{2}{y.dx = \frac{5}{2}}}$ sq. unit