Question

Let g(x) = ∫f(t) dt for t ∈ [0,x], where f is such that (1/2) ≤ f(t) ≤ 1 for t ∈ [0, 1] and 0 ≤ f(t) ≤ (1/2) for t ∈ [1, 2], then g(2) satisfies the in equality

Answer 1

Correct option is (b) (1/2) ≤ g(2) ≤ (3/2)

Given

Also,

Adding Eqs. (i) and (ii), we get