E499 -- De integratione formulae \(\int\! \frac{dx\,lx}{\sqrt{1-xx}}\) ab \(x=0\) ad \(x=1\) extensa
(On the integration of the formula \(\displaystyle\int\! \frac{dx\,lx}{\sqrt{1-xx}}\) from \(x=0\) to \(x=1\))
Summary:
According to the
records, it was presented to the St. Petersburg Academy on August 19, 1776.
Publication:
-
Originally published in Acta Academiae Scientarum Imperialis Petropolitinae 1777, 1780, pp. 3-28
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Opera Omnia: Series 1, Volume 18, pp. 23 - 50
- Reprinted in Institutiones calculi integralis 4, 1794, pp. 154-182 [E499a]; ed. tertia 4, 1845, pp.
154-182 [E499b]
Documents Available:
- Original Publication: E499
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