English translation of Leonhard Euler’s “Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet” (E689). 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/689/; facsimile, https://archive.org/details/novaactaacademia09impe.
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Vaibhav Shakya (2026) studied this question.
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