In mathematics, Lebesgue integrability may refer to:
- Whether the Lebesgue integral of a function is defined; this is what is most often meant.
- The Lebesgue integrability condition, which determines whether the Riemann integral of a function is defined. Confusingly, this result is due to Lebesgue, but refers to the Riemann integral, not the Lebesgue integral.
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