The area (in $s q$. units) bounded by the curve $y=x|x|, \mathrm{X}$-axis and the lines $x=-1$ and $x=1$ is

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$y=x|x| ...[Given]$ Required area $\begin{aligned} & =\int_{-1}^1 x|x| \mathrm{d} x \ & =2 \int_0^1 x^2 \mathrm{~d} x \quad \ldots[\because 	ext { Area is always positive }] \ & =2 	imes\left[\frac{x^3}{3}ight]_0^1 \ & =2 	imes\left(\frac{1}{3}-0ight)=\frac{2}{3} 	ext { sq.units } \end{aligned}$

The area (in $s q$. units) bounded by the curve $y=x|x|, \mathrm{X}$-axis and the lines $x=-1$ and $x=1$ is

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