Let `f(x) = cossqrtx` where `p=[a]` where `[x]` is the integral part of x if the period of f(x) is `pi`, then `a in`

Let f(x)=cos sqrt(x) where p=[a] where [x] is the integral part of x if the period of f(x) is pi, then a in

Let f(x)=cos sqrt(p)x where P=[a] (integral part).If the period of f(x) is pi then a in

The period of x-[x] where [x] represents the integral part of x is

int_(-2)^(4) f[x]dx , where [x] is integral part of x.

Let f(x)=x-[x], for every real number x, where [x] is integral part of x .Then int_(-1)^(1)f(x)dx is

Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is

Let f(n) = [1/4 + n/1000] , where [x] denote the integral part of x. Then the value of sum_(n=1)^(1000) f(n) is

Let f(x)=(sin^(101)x)/([(x)/(pi)]+(1)/(2)) , where [x] denotes the integral part of x is

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -

The functions f and g are given by f(x)=(x) the fractional part of x and g(x)=(1)/(2)sin[x]pi where Ix] denotes the integral part of x, then range of gof(x) is