Lebesgue integral

{{analysis|singulare tantum|_|<nowiki/>('''the Lebesgue integral''')|and|countable}} An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any {{soplink|measurable|set}}s for which the function to be integrated has a sufficiently narrow range. (Formal definitions can be found at [http://planetmath.org/?method=l2h&from=objects&name=Integral2&op=getobj PlanetMath]).