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 | 197, 264, 1
- Lebesgue integral | 23, 843, 12
- Calculus | 11, 4k, 96
- Mathematics | 17, 10k, 239
- Ciro Santilli's Homepage | 238, 147k, 2k