E463  De valore formulae integralis \(\int \frac{z^{\lambda\omega}\pm\, z^{\lambda+\omega}}{1\,\pm\, z^{2\lambda}}\frac{dz}{z}(lz)^\mu\) casu quo post integrationem ponitur \(z=1\)
(On the value of the integral formula \(\displaystyle\int \frac{z^{\lambda\omega}\pm\, z^{\lambda+\omega}}{1\,\pm\, z^{2\lambda}}\frac{dz}{z}(lz)^\mu\) in the case in which after integration it is put \(z=1\))
Summary:
According
to the records, it was presented to the St. Petersburg Academy on October 3, 1774.
Publication:

Originally published in Novi Commentarii academiae scientiarum Petropolitanae 19, 1775, pp. 3065

Opera Omnia: Series 1, Volume 17, pp. 384  420
 Reprinted in Institutiones calculi integralis 4, 1794, pp. 122154 [E463a]; ed. tertia 4, 1845, pp.
122154 [E463b]
Documents Available:
 Original publication: E463
 German translation (Alexander Aycock and Artur Diener): E463
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