Euler E629: Expansion of the integral formula ∫dx (1/(1−x) + 1/log x) extended from x = 0 to x = 1 | English translation | OMH v1.0

English translation of Leonhard Euler's E629, "Evolutio formulae integralis ∫∂x (1/(1−x) + 1/lx) a termino x = 0 usque ad x = 1 extensae". AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/629/; original volume facsimile, https://archive.org/details/novaactaacademia04impe.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-04
DOI
https://doi.org/10.5281/zenodo.23144663
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Euler E629: Expansion of the integral formula ∫dx (1/(1−x) + 1/log x) extended from x = 0 to x = 1 | English translation | OMH v1.0

Vaibhav Shakya
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Euler E629: Expansion of the integral formula ∫dx (1/(1−x) + 1/log x) extended from x = 0 to x = 1 | English translation | OMH v1.0

Vaibhav Shakya
article en

Abstract

English translation of Leonhard Euler's E629, "Evolutio formulae integralis ∫∂x (1/(1−x) + 1/lx) a termino x = 0 usque ad x = 1 extensae". AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Euler Archive, https://scholarlycommons.pacific.edu/euler-works/629/; original volume facsimile, https://archive.org/details/novaactaacademia04impe.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
History and Theory of Mathematics
DOIOpen Access PDFOpenAlex
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Euler E629: Expansion of the integral formula ∫dx (1/(1−x) + 1/log x) extended from x = 0 to x = 1 | English translation | OMH v1.0 — Vaibhav Shakya · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS