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If f(x)= maximum (sinx,cosx,1/2) and the...

If `f(x)=` maximum `(sinx,cosx,1/2)` and the area bounded by `y=f(x),x`- axis, `y`- axis and `x=2pi` be `lamda(pi)/12+sqrt(2)+sqrt(3)` sq. units then the value of `lamda` is

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`((5pi)/(12) + sqrt2 + sqrt3)` sq. unit
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