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Let g(x) = ∫_0^x f(t)dt , where f is continuous function in [ 0, 3 ] such that 1 \over 3 \le f(t) \le 1 for all t\in [0, 1] and 0 \le f(t) \le 1 \over 2 for all t\in (1, 3]. The largest possible interval in which g(3) lies is : | Watch the step-by-step video solution for this NIMCET PYQ.