Euler E688: An example of a most difficult integration contained in the formula integral dx / ((1+x) fourth root of (2x squared minus 1)) | English translation | OMH v1.0

English translation of Leonhard Euler's E688, An example of a most difficult integration contained in the formula integral dx / ((1+x) fourth root of (2x squared minus 1)). 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: Official Euler Archive record, https://scholarlycommons.pacific.edu/euler-works/688/; consulted original, Nova Acta Academiae Scientiarum Imperialis Petropolitanae IX for 1791, printed 1795, pp. 98–117, https://archive.org/details/novaactaacademia09impe; Natural History Museum Library, London, via Biodiversity Heritage Library item 113773, https://www.biodiversitylibrary.org/item/113773.