Moreover, besides stating that integration for iterated integrals of functions that are continuously integrable over the region of integration may be evaluated in any order, Fubini states that the double or triple integral of any function over any region "nice enough" may be evaluated as the iterated integral. "Nice enough" meaning that the region can be broken into regions that can be described by two end values and bounded by continuous curves, over which the function is continously integrable. The function need not be continuously integrable over the region as a whole, it may be discontinuous along the graphs of finitely many functions.