The area of the region bounded by the curve $y=\max \{|x|, x|x-2|\}$, then $x$-axis and the lines $x=-2$ and $x=4$ is equal to _______ .

Question

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Required Area }=\frac{1}{2} 	imes 2 	imes 2+\frac{1}{2} 	imes 3 	imes 3+\frac{1}{2} 	imes 1 	imes 11 \ & =12\end{aligned}$

The area of the region bounded by the curve $y=\max \{|x|, x|x-2|\}$, then $x$-axis and the lines $x=-2$ and…