The number of roots of `x^2-2=[sinx],w h e r e[dot]` stands for the greatest integer function is 0 (b) 1 (c) 2 (d) 3.

Evaluate: int_0^(2pi)[sinx]dx ,w h e r e[dot] denotes the greatest integer function.

Evaluate: int_0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest integer function.

Evaluate: int_0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest integer function.

The value of int_0^(2pi)[2sinx]dx ,w h e r e[dot] represents the greatest integral function, is (a) (-5pi)/3 (b) -pi (c) (5pi)/3 (d) -2pi

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1

f:(2,3)vec(0,1)d efin e db yf(x)=x-[x],w h e r e[dot] represents the greatest integer function.

Evaluate: int_(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest integer function).

Evaluate: int_0^(100)(x-[x]dx(w h e r e[dot] represents the greatest integer function).

The sum of roots of the equation cos^(-1)(cosx)=[x],[dot] denotes the greatest integer function, is (a) 2pi+3 (b) pi+3 (c) pi-3 (d) 2 pi-3

Evaluate: ("lim")_(xvec0)(sinx)/x,w h e r e[dot] represents the greatest integer function.