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) in R be given f(x)=int_(1//x)^(x) e^-(t+(1)/(t))(1)/(t)dt , 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(x)=int_(0)^(x)cos((t^(2)+2t+1)/(5))dt0>x>2 then f(x)

If f(x)=int_(x)^(x+1) (e^-(t^2)) dt, then the interval in which f(x) is decreasing is

Let f(x)=int_(0)^(1)|x-t|dt, then

Let f(x)=int_(0)^(x)(e^(t))/(t)dt(xgt0), then e^(-a)[f(x+1)-f(1+a)]=

If f(x)=int_(1)^(x) (log t)/(1+t) dt"then" f(x)+f((1)/(x)) is equal to

Let f : (0,oo) to R and F(x)=int_(0)^(x)t f(t)dt . If F(x^(2))=x^(4)+x^(5) , then

Let f(x)=int_(0)^(x)e^(t)(t-1)(t-2)dt. Then, f decreases in the interval