E640 -- Comparatio valorum formulae integralis int (x^(p-1) dx)/(nV((1-x^n)^(n-q))) a termino x = 0 usque ad x = 1 extensae

E640 -- Comparatio valorum formulae integralis ∫ (x^p-1 dx)/(ⁿ√((1-xⁿ)^n-q)) a termino x = 0 usque ad x = 1 extensae

(English Translation of Title)

Summary:

Publication:

Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 5, 1789, pp. 86-117
Opera Omnia: Series 1, Volume 18, pp. 392 - 423
Reprinted in Institutiones calculi integralis 4, 1794, pp. 295-326, 326-337 [E640a], ed. tertia, 4, 1845, pp. 295-326, 326-337 [E640b]

Documents Available:

Enestrom's numbering for E640 includes two papers listed seperately in the Nova Acta
- primary paper
- addendum