The value of the integral, `int_1^3 [x^2-2x–2]dx` , where [x] denotes the greatest integer less than or equal to x, is :

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

The value of the integral int_(-2)^2 sin^2x/(-2[x/pi]+1/2)dx (where [x] denotes the greatest integer less then or equal to x) is

The integral I= int_(0)^(2) [x^2] dx ([x] denotes the greatest integer less than or equal to x) is equal to:

The value of the integral int_(0)^(0.9) [x-2[x]] dx , where [.] denotes the greatest integer function, is

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

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