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If f(x)=int0^x tf(t)dt+2, then...

If `f(x)=int_0^x tf(t)dt+2,` then

A

`f(x)` is strictly increasing function for `x in R`

B

`f(x)` is strictly increasing function for `x in (0,oo)`

C

`f(x)` has a point of minima at `x=0`

D

`2 lt int_(0)^(1)f(x)dx lt 2sqrt(e)`

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