Let 'f is a function, continuous on [0,1...

Let 'f is a function, continuous on `[0,1]` such that `f(x) leq sqrt5 AA x in [0,1/2] and f(x) leq 2/x AA x in [1/2,1]` then smallest 'a' for which `int_0^1 f(x)dx leq a` holds for all 'f' is

`sqrt5`

`(sqrt5)/(2) + 2 ln 2`

`2+ ln ((sqrt5)/(2))`

`2+2ln ((sqrt5)/(2))`

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