## E500 -- De valore formulae integralis $$\int \frac{x^{n-1}\,dx}{lx} \frac{(1-x^b)(1-x^c)}{1-x^n}$$ a termino $$x=0$$ usque ad $$x=1$$ extensae

(On the value of the integral formula $$\displaystyle \int \frac{x^{n-1}\,dx}{lx} \frac{(1-x^b)(1-x^c)}{1-x^n}$$ bounded at $$x=0$$ and extended 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. 29-47
• Opera Omnia: Series 1, Volume 18, pp. 51 - 68
Documents Available:
• Original Publication: E500
• German translation (Artur Diener and Alexander Aycock): E500