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Let `f:[1/2,1]vecR` (the set of all real numbers) be a positive, non-constant, and differentiable function such that `f^(prime)(x)<2f9x)a n df(1/2)=1` . Then the value of `int_(1/2)^1f(x)dx` lies in the interval `(2e-1,2e)` (b) `(3-1,2e-1)` `((e-1)/2,e-1)` (d) `(0,(e-1)/2)`

A

`(2e-1,2e)`

B

`(e-1,2e-1)`

C

`((e^(-1))/(2), e - 1)`

D

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

Text Solution

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The correct Answer is:
D
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
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