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Let g (x) = int(0)^(x) f(t) dt , where f...

Let `g (x) = int_(0)^(x) f(t) dt` , where f is such that ` (1)/(2) le f (t) le 1` for ` tin [0,1] and 0 le f (t) le (1)/(2) ` for ` t in [1 ,2]`. then . `g (2)` satisfies the inequality

A

`-3//2 le g (2) lt 1//2`

B

`0 le g (2) lt 2`

C

`3//2 lt g (2) le 5//2`

D

`2 lt g (2) lt 4`

Text Solution

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The correct Answer is:
B
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