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

1 Answer
Jim H
Mar 21, 2018

#-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#

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