E500 -- De valore formulae integralis int ((x^(a-1) dx)/lx)(1-x^b)(1-x^e)/(1-x^n) a termino x = 0 usque ad x = 1 extensae

E500 -- De valore formulae integralis ∫ ((x^a-1 dx)/lx)(1-x^b)(1-x^e)/(1-xⁿ) a termino x = 0 usque ad x = 1 extensae

(On the value of the integral formula ∫ ((x^a-1 dx)/lx)(1-x^b)(1-x^e)/(1-xⁿ) 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

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E500 -- De valore formulae integralis ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) a termino x = 0 usque ad x = 1 extensae

E500 -- De valore formulae integralis ∫ ((x^a-1 dx)/lx)(1-x^b)(1-x^e)/(1-xⁿ) a termino x = 0 usque ad x = 1 extensae