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

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

Examine Lim_(xto 2) [ x] , where [ x] denotes the greatest integar less than or equal to x.

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

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_(0)^(1.5)[x]dx=?

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

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

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