Number of elements in the range set of `f(x)=[(x)/(15)][-(15)/(x)]AA x in(0,90)` are (where [.] is greatest integer function)

Find the number of elements contained in the range of the function f (x) = [(x )/(6)][(-6)/(x)]AAx in (0,30)] where [.] denotes greatest integer function)

If x^(2)+x+1-|[x]|=0, then (where [.] is greatest integer function) -

int_0^1.5 [x] dx=___ where [x] is greatest integer function.

The range of the function f(x)=(sin(pi|x+1|))/(x^(4)+1) (where [.] is the greatest integer function) is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

f(x)=1+[cos x]x, in 0<=x<=(x)/(2) (where [.] denotes greatest integer function)

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

The number of integers in the range of function f(x)=[sin x]+[cos x]+[sin x+cos x] is (where [.]= denotes greatest integer function)

The range of the function f(x)=(tan(pi[x+1]))/(x^(4)+1) (where, [.] is the greatest integer function) is

Range of f(x)=[1+sin x]+[cos x-1]+[tan^(-1)x]AA x in[0,2 pi] where [1 denotes the greatest integer function is