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Let g(x)=int(0)^(x) f(t) dt, where f is ...

Let `g(x)=int_(0)^(x) f(t) dt`, where f is continuous function in [0,3] such that `1/3 le f(t) le 1` for all `t in [0,1] and 0 le f(t) le 1/2` for all ` tin (1,3]`. The largest possible interval in which g(3) lies is:

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