# Lebesgue Integration

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Lebesgue integration extends the definition of integral to a much larger class of functions than the class of Riemann integrable functions. The Riemann integral is constructed by partitioning the integrand's domain (on the axis). The Lebesgue integral is constructed by partitioning the integrand's co-domain (on the axis). For each value in the co-domain, find the measure of the corresponding set of points in the domain. Roughly speaking, the Lebesgue integral is then the sum of all the products .

Contributed by: Anton Antonov (June 2007)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Lebesgue Integration"

http://demonstrations.wolfram.com/LebesgueIntegration/

Wolfram Demonstrations Project

Published: June 27 2007