1. The problem statement, all variables and given/known data Integral [x] - 2[x/2] dx limits are 0 to 2 I am using  to represent the floor function. 2. Relevant equations 3. The attempt at a solution Of course normal integration gives x^2/2 - x^2/2 which gives 0 for all cases, So is it right to assume a floor function (not continuous) is always 0? Thanks!