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Let f:(0,oo)vecR be given by f(x)=int(1/...

Let `f:(0,oo)vecR` be given by `f(x)=int_(1/x)^x(e^(-(t+1/t))dt)/t ,` then `f(x)` is monotonically increasing on `[1,oo)` `f(x)` is monotonically decreasing on `(0,1)` `f(2^x)` is an odd function of `x` on `R`

A

f(x) is monotonically increasing on `[1, oo)`

B

f(x) is monotonically decreasing on `(0,1)`

C

`f (x) + f ((1)/(x)) =0,` for all `x in (0,oo)`

D

`f (2 ^(x)) `is an odd function of x on R

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B, D
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