# Integrability

From Example Problems

**Integrability** is a mathematical concept used in different areas. It can refer to:

- A property of functions or sets depending on a measure. There are p-integrable functions for any positive real number
*p*. See Lp space. - A property of modules of differential forms, which relates to foliations and the Frobenius theorem. See integrability conditions for differential systems.
- The
*integrability*of an ordinary differential equation may refer to*integration by quadratures*(indefinite integrals); or to the existence of enough*integrals of the system*. - In physics, integrable models