Let f:(0,\infty)\toR be given by f(x)=\int^{x}_{1/x}e^{-(t+1/t)}{dt}/t then, [JEE Adv 2014 P1]

f(x) is monotonically increasing on [1,\infty)

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

f(x)+f(1/x)=0 for all x∊(0,\infty)

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

Definite Integration

Section: Mathematics

Question : 34 of 46

Marks: +1, -0

Let f:(0,∞)→R be given by f(x)=

∫

e−(t+

)

then,

[JEE Adv 2014 P1]

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