`int_0^((9pi)/4) [|sinx|-|cosx|)dx+int_-1^5 {-x}dx]`, where `[.]` and `{.}` denote the integer function and fractional part functions, respectively is equal to …

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

The value of int_(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the greatest integer and fractional part of x) is equal to

If int_0^x[x]dx=int_0^([x]) xdx,x !in integer (where, [*] and {*} denotes the greatest integer and fractional parts respectively,then the value of 4{x} is equal to ...

int_(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, is equal to

int_a^4{x}^([x])dx is equal to (where [.] and {.} represent greatest integer function and fractional part function respectively. (13)/(12) (b) 1/(12) (c) 5/(12) (d) (17)/(12)

Evaluate int_(-2)^(4)x[x]dx where [.] denotes the greatest integer function.

int_(0)^(2pi)[|sin x|+|cos x|]dx , where [.] denotes the greatest integer function, is equal to :

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

Evaluate int_0^a[x^n]dx, (where,[*] denotes the greatest integer function).

int_(-1)^(41//2)e^(2x-[2x])dx , where [*] denotes the greatest integer function.