Find the solution of `[x]^2-5[x]+6=0`,where [] denotes
the greatest integer function.

If g: [-2,2] rarrR , where g(x) =x^3 + tan x + [(x^2+1)/P] is an odd function , then the value of parametric P , where [] denotes the greatest integer function, is a) -5ltPlt5 b) Plt5 c) Pgt5 d)None of these

The period of the function f(x) = [6x + 7] + cos pix - 6x , where [.] denotes the greatest integer function, is a)3 b) 2pi c)2 d)none of these

Find the periods (if periodic) of the following functions: f(x)= tan""pi/2 [x] where [ ] represents the greatest integer function.

The value of int_(0)^(pi)[2sinx]dx , where [**] denoted the greatest integer function, is a) pi/3 b) (2pi)/(3) c) pi/6 d)None of these

Find the periods (if periodic) of the following functions: f(x) = x - [x-b] , b in R where [ ] represents the greatest integer function.