Question

Integration of [X+[x+[x]]] at limit -1 to 1 ?

Answer 1

`-3`

Explanation:

Let `f(x) = lfloorx+lfloorx+lfloorxrfloorrfloorrfloor`

For `-1 <= x < 0`, we have `f(x) = -3`

and for `0 <= x <1`, we have `f(x) = 0`

So `int_-1^1 lfloorx+lfloorx+lfloorxrfloorrfloorrfloor dx = -3`