1. Noun. (analysis singulare tantum ('''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 [ PlanetMath]). ¹
