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Institutionum calculi integralis (Foundations of Integral Calculus)

Full title: Institutionum calculi integralis (Foundations of Integral Calculus) Also see Institutiones calculi differentialis (Foundations of Differential Calculus: E212.

Publications from 1794 1794

E668: De integratione formulae ∫∂x√(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 ∫x^m-1∂x(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: Disquisitio coniecturalis super formula integrali ∫∂ϕ cos(iϕ)/(α+βcos(ϕ))ⁿ

E674: Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ ∂ϕ 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 ∂z/√(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 ∂∂y(1–axx) – bx ∂x ∂y – cy ∂x² = 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