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"Let "f(x)=" Maximum "{x^(2),(1-x^(2)),2...

`"Let "f(x)=" Maximum "{x^(2),(1-x^(2)),2x(1-x)}," where "0le x le 1.` Determine the area of the region bounded by the curves `y=f(x), x-"axis "x=0 and x=1.`

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`(17)/(27)` sq. units
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