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Let f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)...

Let `f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)},` where `0lt=xlt=1.` Determine the area of the region bounded by the curves `y=f(x),x-a xi s ,x=0,` and `x=1.`

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The correct Answer is:
`(17)/(27)`
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