Institutiones calculi integralis
(Foundations of Integral Calculus)
This page is currently under construction, though a list of articles is provided here:
- E668: De integratione formulae (dx √(1+x4))/(1-x4) aliarumque eiusdem generis per logarithmos et arcus circulares
- E669: Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
- E670: De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
- E671: De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
- E672: Theorema maxime memoragile circa formulam integralem ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
- E673: Disquitio coniecturalis super formula integrali ∫ (dφcos(iφ))/(α+βcos(φ))n
- E674: Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
- E675: De valoribus integralium a termino variabilis x = 0 usque ad x = ¥ extensorum
- E676: Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
- E677: Methodus singularis resolvendi aequationes differentiales secundi gradus
- E678: Methodus nova investigandi omnes casus quibus hance aequationem differentialem ddy(1-axx) - bx dx dy - cy dx2 = 0 resolvere licet
- E679: De formulis integralibus implicatis earumque evolutione et transformatione
- E680: De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
- E681: Specimen aequationum differentialium indefiniti gradus earumque integrationis