1.

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

Answer»

`(2e - 1, 2e)`
`(E - 1, 2e - 1)`
`((e - 1)/(2), e - 1)`
`(0,(e - 1)/(2))`

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