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Let f(x)=min{sin^(-1)x,cos^(-1) x, (pi)/...

Let `f(x)=min{sin^(-1)x,cos^(-1) x, (pi)/6},x in [0,1]`. If area bounded by `y=f(x)` and X-axis, between the lines `x=0` and `x=1 is (a)/(b(sqrt(3)+1))`. Then , (a-b) is `"......."`.

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