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

Let `f(x)=`maximum `{x^2,(1-x)^2, 2 x(1-x)}"w h e r e"0lt=xlt=1`. The area of the region bounded by the curves `y=f(x)`,x-axes, `x=0 and x=1` is

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