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`

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

Let f:(0,oo)vec R 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 (1,oo)(b)f(x) is an odd function of x on R

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

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

Let f : (0,infty) rarr R be given by f(x) = int_(1/x)^(x) e^-(t + 1/t) dt/t then

Let f:(0,oo)rarrRR be given by f(x)=oversetxunderset(1/x)inte^((t+1/t))dt/t Then

Let f:(0,oo)rarr RR be given by f(x)=int_(1//x)^x e^-(t+1/t) dt/t. Then (i) f(x) is monotonically increases in (1,infty) (ii)f(x) is monotonically decreases in (0.1) (iii) f(x) +f(1/x)= 0 far all x in (0,infty) (iv) f(2^x) is an odd function of x on R

(d) for a 3 x matrix U, if (M2 MN2)U equals the zero matrix then U is the zero matrix 1 dt Let f: (0, o) R be given by f x e hen (a) f onoto ally increasing on 1, oo (b) f x) is monotonically decreasing on (0, l she f (x) f 0, for all t E (0,co) f (21) is an odd function of r on R

Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^-(t+(1)/(t))(1)/(t)dt , then

Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)/(t))(1)/(t)dt , then