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0 votes
14.0k views
in Mathematics by (34.9k points)

Let g(x) = \(\int_0^xf(t)\) dt, where f is continuous function in [0, 3] such that \(\frac 13\le(t)\le1\) for all t ∈ [0, 1] and \(0\leq f(t)\le\frac 12\) for all t ∈ (1, 3]. The largest possible interval in which g(3) lies is :

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1 Answer

+1 vote
by (34.4k points)

Correct option is (3) \([\frac 13,2]\)

Adding, we get

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