# Real world applications of the Lebesgue integral | ðŸ—– nosplit | â†‘ parent "Lebesgue integral vs Riemann integral" | 63

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.