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

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Aicharya · Accepted Answer

Required area shaded $\begin{aligned} & A=\int_{-1}^0 x d x+\int_0^2 x d x \ & =\left|\left[\frac{x^2}{2}ight]_{-1}^0ight|+\left|\left[\frac{x^2}{2}ight]_0^2ight|=\frac{1}{2}+2=\frac{5}{2}\end{aligned}$

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

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