In "practice" it is likely "useless", because the functions that it can integrate that Riemann can't are just too funky to appear in practice :-)

Its value is much more indirect and subtle, as in "it serves as a solid basis of quantum mechanics" due to the definition of Hilbert spaces.

- Lebesgue integral vs Riemann integral | 201, 272, 1
- Lebesgue integral | 31, 1k, 15
- Calculus | 17, 7k, 159
- Mathematics | 17, 13k, 336
- Ciro Santilli's Homepage | 262, 182k, 3k