integrerbare
Integrerbare is the Danish term for integrable, used to describe functions or quantities for which an integral can be assigned in a well-defined sense. In mathematics, integrability is defined relative to a chosen theory of integration, most commonly Riemann or Lebesgue integration.
Riemann integrable: A bounded function f on a closed interval [a, b] is Riemann integrable if the
Lebesgue integrable: A measurable function f on a measure space is Lebesgue integrable if the integral of
Examples: All continuous functions on a closed interval are Riemann integrable. Step functions and many bounded
Relation to other concepts: Integrable functions form spaces such as L1, consisting of functions whose absolute
Origin and usage: The concept reflects the ability to assign a numerical value to accumulation or area