If `[x]` denotes the greatest integer less than or equal to `x ,` then find the value of the integral `int_0^2x^2[x]dxdot`

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to

If [X] denotes the gratest integer less than or equal to x, then the value of the integeral int _( - pi //2) ^( pi//2)[[x] - sin x]dx is equal to :

Let [x] denote the greatest integer less than or equal to x.the value of the integeral int_(1)^(n)[x]^(x-{x})dx

If [x] dentoes the greatest integer less than or equal to x, then the value of int _(0)^(5)[|x-3|] dx is

If [x] denotes the greatest integer less than or equal to x then the value of int_(0)^(2)(|x-2|+[x])dx is equal to

Consider the integral I=int_(0)^(10)([x]e^([x]))/(e^(x-1))dx , where [x] denotes the greatest integer less than or equal to x. Then the value of I is equal to :

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

Let [x] denote the greatest integer less than or equal to x. Then the value of int_(1)^(2)|2x-[3x]|dx is ______