The area of the region bounded by the parabola $y=x^2$ and the curve $y=|x|$ is

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Aicharya · Accepted Answer

$\begin{aligned} 	ext { Required area } & =2 \int_0^1\left(x-x^2ight) \mathrm{d} x \ & =2\left[\frac{x^2}{2}-\frac{x^3}{3}ight]_0^1 \ & =2\left(\frac{1}{2}-\frac{1}{3}ight)=\frac{1}{3} 	ext { sq.units }\end{aligned}$

The area of the region bounded by the parabola $y=x^2$ and the curve $y=|x|$ is

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