Let the solution set of the equation `sqrt([x+[x/2]])+[sqrt({x})+[x/3]]=3` is `[a,b).` Find the product ab. (where `[*] and {*}` denote greatest integer and fractional part function, respectively).

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

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

If f(x) = [x^2] + sqrt({x}^2 , where [] and {.} denote the greatest integer and fractional part functions respectively,then

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

Find the solution of the equation [x] + {-x} = 2x, (where [*] and {*} represents greatest integer function and fractional part function respectively.

The number of integer belonging to the interval [-3, 30] but not belonging to the range of the function f(x)=x{x}-x[-x],x in R ,i slambdadot Find the value of lambda-5. (where [dot] and {dot} denotes the greatest integer function and fractional part respectively).

If f(x)={{:([x]+sqrt({x})",", xlt1),((1)/([x]+{x}^(2))",",xge1):} , then [where [.] and {.} represent the greatest integer and fractional part functions respectively]