Question

Find the area bounded by the line $y=x$, the $x-axis$ and the ordinates $x=-1$ and $x=2$

Answer 1

$A=A_1+A_2$

$=\frac{1}{2}\times 1\times 1+\frac{1}{2}\times 2\times 2$

$=\frac{1}{2}+\frac{4}{2}$

$=\frac{5}{2}=2.5$ sq. units.