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

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 I = int _(0) ^(100) (sqrtx)dx, then the value of (9I)/(155) is:

If {x} denotes the fractional part of x, then int_(0)^(x)({x}-(1)/(2)) dx is equal to

If {x} denotes the fractional part of x, then lim_(x to 0) ({x})/(tan {x}) is equal to

If f(x)={x^2}-({x})^2, where (x) denotes the fractional part of x, then

If {x} denotes the fractional part of x, then lim_(xrarr1) (x sin {x})/(x-1) , is

If {x} denotes the fractional part of x, then overset(2)underset(0)int{x} dx is equal to

Let x=(3sqrt(6)+7)^(89) . If {x} denotes the fractional part of 'x' then find the remainder when x{x}+(x{x})^(2)+(x{x})^(3) is divided by 31.

If f(x) = min({x}, {-x}) x in R , where {x} denotes the fractional part of x, then int_(-100)^(100)f(x)dx is