Institutiones calculi integralis

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English Titles

668On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs
669Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
670De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
671De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
672A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
673A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n
674Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
675On the values of integrals where the variable term is extended x = 0 all the way to x = ∞
676Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
677Special methods for resolving differential equations of the second degree
678A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve
679De formulis integralibus implicatis earumque evolutione et transformatione
680De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
681Specimen aequationum differentialium indefiniti gradus earumque integrationis