Riemann integral

noun

A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounRiemann integral (plural Riemann integrals)

plural Riemann integrals

  1. mathematical analysisA type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.

Origin

Named after Bernhard Riemann, a German mathematician.

Full word history & related roots →

Translations

French intégrale de Riemann
  • intégrale de Riemanna type of integral
German Riemann-Integral, Riemannintegral
  • Riemann-Integrala type of integral
  • Riemannintegrala type of integral
  • riemannsches Integrala type of integral
Polish całka Riemanna
  • całka Riemannaa type of integral
Russian интегра́л Ри́мана
  • интегра́л Ри́мана (integrál Rímana)a type of integral
Cite this entry
APA

Riemann integral. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Riemann%20integral

MLA

“Riemann integral.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Riemann%20integral. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Riemann integral,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Riemann%20integral.

Source: Riemann integral on Wiktionary, CC BY-SA 4.0.