integrierbar

Integrierbar is a term used in mathematics, particularly in calculus and analysis, to describe a function that possesses an integral. Whether a function is integrierbar depends on the specific type of integral being considered, such as the Riemann integral or the Lebesgue integral. A function that is Riemann integrierbar on a given interval is bounded and has a set of discontinuities of Lebesgue measure zero. Lebesgue integrierbar functions are a broader class than Riemann integrierbar functions, allowing for more complex functions and integration over more general sets. The concept of integrierbarkeit is fundamental to solving differential equations, calculating areas and volumes, and in many areas of physics and engineering. The properties of a function's integral, such as linearity and additivity, are directly related to its integrierbarkeit.