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  4. The area of the region bounded by the curves y=|x-1| and y=3-|x| is

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Q. The area of the region bounded by the curves $y=|x-1|$ and $y=3-|x|$ is

Integrals

Solution:

image
$A B=\sqrt{2}, B C=2 \sqrt{2}$
Area of rectangle $A B C D$
$=\sqrt{2} \times 2 \sqrt{2}=4$