If int(cosx)^1(t^2f(t)dt=1-cosx AA x in ...

If `int_(cosx)^1(t^2f(t)dt=1-cosx AA x in (0,pi/2)`, then the value of `[f((sqrt(3))/4)]` is [.] denotes the greatest integer function) 4 (b) 5 (c) 6 (d) `-7`

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