The value of `int_0^3[x]dx`, where `[x]` is greatest integer function is.....

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

Find the value of int_(0)^(4)[x]dx , where [.] represents the gretest integer function.

The value of int_(-1)^2abs([x]-{x})dx where [x] is the greatest integer less then or equal to x and {x} is the fractional part of x is

the value of int _(pi/2)^(3pi/2)[2sinx]dx , is [.] greatest integer function

Definite integral of any discontinuous or non differentiable function is normally done by the usage of the property int_a^bf(x)dx=int_a^bf(x)dx+int_c^bf(x)dx ,where c in(a,b) is the point of discontinuity or non diffrentiability The value of I=int_1^100[sec^(-1)x]dx ,(where[.]denotes greatest integer function)is equal to

Evaluate: int_0^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

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

Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1, and ("lim")_((xvec) 0) ((p(x))/(x^3)-2)=4 . Then the value of [P(1)] is (where [.] represents greatest integer function)___

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).