Phrase guide

Riemann integral

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Bernhard Riemann, a German mathematician.

Across languages

Translations

6 source translations are retained for this English entry.

  • French: intégrale de Riemann — a type of integral
  • German: Riemann-Integral — a type of integral
  • German: Riemannintegral — a type of integral
  • German: riemannsches Integral — a type of integral
  • Polish: całka Riemanna — a type of integral
  • Russian: интегра́л Ри́мана (integrál Rímana) — a type of integral