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Let f:(0,oo) to vec R be given by f(x)=i...

Let `f:(0,oo) to vec R` be given by `f(x)=int_(1/x)^x(e^(-(t+1/t))dt)/t ,` then

A

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

B

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

C

(c) `f(x)+f((1)/(x))=0,AAx in (0,oo)`

D

(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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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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