fundamental theorem of calculus

calculus theorem describing the duality of differentiation and integration
Intangible theorem Q1217677
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Summary

fundamental theorem of calculus is a theorem[1]. It ranks in the top 1% of theorem entities by monthly Wikipedia readership (6,767 views/month).[2]

Key Facts

  • Named after: Isaac Newton[3], Gottfried Wilhelm Leibniz[4]
  • Subclass of: Stokes' theorem[5]
  • Part of: list of theorems[6]
  • Commons category: Fundamental theorem of calculus[7]
  • Main subject: first fundamental theorem of calculus[8], second fundamental theorem of calculus[9]
  • Facet of: calculus[10]
  • Described by source: Mathwords[11]
  • Short name: HDI[12]
  • Different from: differentiation and integration[13]
  • Studied by: calculus[14]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[15]
  • Maintained by WikiProject: WikiProject Mathematics[16]
  • P14541: 1YWXmp[17]

Why It Matters

fundamental theorem of calculus has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[18] It is known by 96 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . Wikidata aliases. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). fundamental theorem of calculus. Retrieved October 20, 2026, from https://4ort.xyz/entity/fundamental-theorem-of-calculus
MLA “fundamental theorem of calculus.” 4ort.xyz Knowledge Graph, 4ort.xyz, 20 Oct. 2026, https://4ort.xyz/entity/fundamental-theorem-of-calculus.
BibTeX @misc{4ortxyz_fundamental-theorem-of-calculus_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{fundamental theorem of calculus}}, year = {2026}, url = {https://4ort.xyz/entity/fundamental-theorem-of-calculus}, note = {Accessed: 2026-10-20}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4w ago · AddyLockPool · 2026-09-20 view diff on Wikidata ↗
    Described by source → Mathwords
    "/* wbsetclaim-create:1||1 */ Described by source: Mathwords, Moving from first fundamental theorem of calculus"
  2. 14w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 1YWXmp
    Instance of → theorem
    Named after → —
    On focus list of wikimedia project → Wikipedia:Vital articles/Level/4
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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