## 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
• 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