Solve `(x-2)[x]={x}-1,` (where `[x]a n d{x}` denote the greatest integer function less than or equal to `x` and the fractional part function, respectively).

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

Solve 2[x]=x+{x}, whre [Phi] and {hat harr} denote the greatest integer function and the fractional part function,respectively.

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

Period of f(x)=e^(cos x)+sin pi[x] is (l.] and {.} denotes the greatest integer function and fractional part function respectively)

The number of non zero solutions of the equation 3 [x] =5{x}+x; where [.] and {.} denotes the greatest integer function and fractional function respectively is

f(x)= 1/sqrt([x]-x) , where [*] denotes the greatest integeral function less than or equals to x. Then, find the domain of f(x).

The number of solution of the equastion |x-1|+|x-2|=[{x}]+{[x]}+1 , where [.] and {.} denotes greatest integer function and fraction part funstion respectively is :

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

In the questions,[x] and {x} represent the greatest integer function and the fractional part function,respectively.Solve: [x]^(2)-5[x]+6=0