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The area covered by the curve y=max{2-x,...

The area covered by the curve `y=max{2-x,2,1+x}` with `x`-axis from `x=-1` to `x=1` is `(alpha)/(beta)`, then `alpha-beta=` (where `alpha, beta` are coprime to each other)

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The correct Answer is:
7
`y=max{2-x,1+x}`
Area `=(1/2(2+3)xx1)+1xx2=9/2=(alpha)/(beta):.alpha-beta=7`
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