`int_1^4 (x-0.4)dx` equals (where `{x}` is a fractional part of `(x)`

Evaluate (int_(0)^(n)[x]dx)/(int_(0)^(n){x}dx) (where [x] and {x} are integral and fractional parts of x respectively and n epsilon N ).

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

lim_(x to 0) {(1+x)^((2)/(x))} (where {.} denotes the fractional part of x) is equal to

lim_(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional part of x is equal to

The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to (here C is a constant of intergration)

int_(0)^(1)x(1-x)^4 dx is :

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Let f(x) = x-[x] , for every real number x, where [x] is integral part of x. Then int_(-1) ^1 f(x) dx is

The value of int_(1)^(2)[x]dx , where [x] is the greatest integer less than or equal to x is