Let g(x) = _0^xf(t)dt, where f is continuous function in [0, 3] such that 1 3 f(t) 1 for all t [0, 1] and 0...

Question

Let g(x) = _0^xf(t)dt, where f is continuous function in [0, 3] such that 1 3 f(t) 1 for all t [0, 1] and 0 f(t) 1 2 for all t (1, 3]. The largest possible interval in which g(3) lies is :

Accepted Answer

(C)

JEE Main 2021 Mathematics question

Solution