# Introduction to the Lebesgue Integral

@inproceedings{Robdera2003IntroductionTT, title={Introduction to the Lebesgue Integral}, author={M. Robdera}, year={2003} }

- Published 2003
DOI:10.1007/978-0-85729-347-3_10

Although the Riemann integral finds many useful applications, we will see in this chapter that it has some great limitations. The class of Riemann integrable functions is “incomplete” in some sense. We will build upon these limitations of the Riemann integral to introduce a more far-reaching theory of integration: the Lebesgue integral.1