Riemann integral

noun

Detailed reference entry for the English word "riemann-integral", 16-letters, with pronunciation in International Phonetic Alphabet notation, etymology traced through Germanic and Romance roots where applicable, common misspelling variants catalogued from Wiktionary, and usage frequency ranked against an open word-frequency list covering the top 100,000 English words. PlainSpell covers English, Spanish, Portuguese, French, and German spelling with confusable-pair detection that highlights visually and phonetically similar words. This entry for "riemann-integral" includes synonyms, antonyms, homophones, and cross-language translation pointers sourced from Wiktionary via the kaikki.org extract. Whether you are verifying the correct spelling of "riemann-integral" for academic writing, checking homophone confusion, or exploring etymological origins, this page provides a citation-backed, free reference that requires no sign-up.

The verdict

“Riemann integral” is outside the top-ranked English vocabulary, used as a noun - the kind of word writers most often double-check.

Unranked
below top-frequency English
16
letters

According to Wiktionary data (CC BY-SA, analyzed May 6, 2026) — 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 ...

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Key facts for Riemann integral
PropertyValue
HeadwordRiemann integral
LanguageEnglish
Part of speechNoun
Letters16
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Where “Riemann integral” sits in English frequency

Riemann integral falls outside the top-100,000 ranked English words, the long-tail zone of technical, archaic, or low-frequency vocabulary, exactly where readers second-guess spellings most.

Beyond rank #100,000. Source: FrequencyWords open word-frequency list.

Spelling & Dictionary Insight

The English entry for Riemann integral is 16 letters long, classified as a noun. It sits outside the most-frequent rank tiers, which is often why uncommon words generate more spelling variants per reader. The dominant gloss from Wiktionary reads: "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 ...".

No misspelling variants are generated for Riemann integral in our index, suggesting the orthography follows predictable English patterns. It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: Named after Bernhard Riemann, a German mathematician. Root origin matters for spelling because borrowed morphemes (Greek, Latin, Old French, Old English) carry their source-language orthographic conventions into modern English, which is why historical etymology is often the cleanest predictor of whether a cluster like "-ough", "-eau", or "-tion" will appear. For readers arriving here from a spelling check, the authoritative guidance is: the correct English form is Riemann integral, spelled R-I-E-M-A-N-N- -I-N-T-E-G-R-A-L, and any other sequence of those letters, regardless of how natural it feels, is a misspelling in standard orthography.

Definition

  1. 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.

Etymology

Named after Bernhard Riemann, a German mathematician.

This word in other languages

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.

Cite this page

Free to reuse with attribution (CC BY-SA). Copy the citation:

PlainSpell, “Riemann integral, English word data” (May 6, 2026). Derived from Wiktionary (kaikki.org, CC BY-SA) and an open word-frequency list. https://plainspell.com/en/word/riemann-integral

Frequently Asked Questions

How do you spell "Riemann integral"?
"Riemann integral" is spelled R-I-E-M-A-N-N- -I-N-T-E-G-R-A-L.
What does "Riemann integral" mean?
As a noun, "Riemann integral" means: 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 ...
What is the origin of the word "Riemann integral"?
Named after Bernhard Riemann, a German mathematician. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Using “Riemann integral”

The practical upshot for anyone who landed here from a spell-check.

  • The one correct English spelling is R-I-E-M-A-N-N- -I-N-T-E-G-R-A-L - every other letter order is a misspelling in standard orthography.
  • Browse more English words and confusable pairs in the same reference. English words

Nearby English words

Other entries that begin with the letter R in our English index:

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Data Source: Wiktionary (via kaikki.org), licensed under CC BY-SA & GFDL. Word ordering uses an open word-frequency list; misspelling variants are generated by edit-distance from the correct headword.

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list FrequencyWords open word-frequency list