Fraction part 3

Fractional part of the number (3^(102))/(40) is :

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

If {x} denotes the fractional part of x, then {(3^(2n))/8},n in N , is

If {x} denotes the fractional part of x, then {(3^(2n))/8},n in N , is

If {x} denotes the fractional part of 'x' , then 82{3^1001/82}=

fractional part of 2^(78) /31 is:

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1/(2-cos 3x)

Evaluate int_(-3)^(5) e^({x})dx , where {.} denotes the fractional part functions.

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

Period of the function f(x)=sin(sin(pix))+e^({3x}) , where {.} denotes the fractional part of x is