Let f : [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and differentiable function...

Question

Let f : [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and differentiable function such that f'(x) < 2f(x) and f ( 1 2 ) = 1. Then the value of _ 1/2 ^ 1 f(x) ,dx lies in the interval

Accepted Answer

(D)

JEE Advanced 2013 Mathematics question

Solution

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