If `f(x)=sin((pi)/(3)[x]-x^(2))` then the value of `f(sqrt((pi)/(3)))` is (where [x] denotes the greatest integer function )

The value of int_(0)^((pi)/(3))[sqrt(3)tan x]dx( where [.] denotes the greatest integer function.) is:

f(x)=sin((pi)/(2)[x]),[.] denotes the greatest integer function.Dxaw graph

If f(x)=|cos x| ,then [sqrt(6)f'((pi)/(4))] is : (where [.] denotes greater integer function

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

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is:

If f(x)=x+sin x and I denotes the value of integral int_(pi)^(2 pi)((f^(-1))(x)+sin x)dx then the value of [(2I)/(3)]( where [-] denotes greatest integer function)

If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the greatest integer fucntion), then

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

If f(x)=cos|x|+[|(sin x)/(2)|], ,(where [.] denotes the greatest integer function),then f(x) is