If the greatest and least values of the ...

If the greatest and least values of the function `f(x)=arctan x-(1)/(2)ln x` on `[(1)/(sqrt(3)),sqrt(3)]` are `lambda` and `mu` respectively. Then
(A) `[lambda +mu]=1` where [.]= greatest Integer function
(B) `(lambda +mu)=2` where (.)= least Integer function
(C) `(lambda+mu)=0` where (.)= least Integer function
(D) `[lambda +mu]=-1` where [.]= greatest Integer function

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