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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 (a)`f(x)` is monotonically increasing on `[1,oo)` (b)`f(x)` is monotonically decreasing on `(0,1)` (c)`f(2^x)` is an odd function of `x` on `R` (d) none of these.

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,AAx in (0,oo)`

D

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

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The correct Answer is:
C
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