Let, f:(0,oo)toR be given by f(x)=int(...

Let, `f:(0,oo)toR` be given by
`f(x)=int_((1)/(x))^(x)e^(-(t+(1)/(t)))(dt)/(t)`
Then

A

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

B

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

C

`fx+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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