| E-342 |
F-200(a) |
Institutionum calculi integralis volumen primum |
| E-366 |
F-200(b) |
Institutionum calculi integralis volumen secundum |
| E-385 |
F-200(c) |
Institutionum calculi integralis volumen tertium |
| E-660 |
F-200(d) |
Institutionum calculi integralis volumen quartum, continens supplementa partim inedita partim jam in operibus academiae imperialis scientiarum Petropolitanae impressa. |
| E-162 |
F-201 |
Methodus integrandi formulas differentiales rationales unicam variabilem involventes |
| E-163 |
F-202 |
Methodus facilior atque expeditior integrandi formulas differentiales rationales |
| E-572 |
F-203 |
Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum |
| E-539 |
F-204 |
Supplementum calculi integralis pro integratione formularum irrationalium |
| E-059 |
F-205 |
Theoremata circa reductionem formularum integralium ad quadraturam circuli |
| E-273 |
F-206 |
Consideratio formularum, quarum integratio per arcus sectionum conicarum absolvi potest |
| E-295 |
F-207 |
De reductione formularum integralium ad rectificationem ellipsis ac hyperbolae |
| E-606 |
F-208 |
Speculationes super formula integrali ∫ (xndx)/√(aa-2bx+cxx), ubi simul egregiae observationes circa fractiones continuas occurrunt |
| E-668 |
F-209 |
De integratione formulae (dx √(1+x4))/(1-x4) aliarumque eiusdem generis per logarithmos et arcus circulares |
| E-651 |
F-210 |
Quatuor theoremata maxime notatu digna in calculo integrali |
| E-701 |
F-211 |
Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt |
| E-689 |
F-212 |
Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet |
| E-671 |
F-213 |
De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet |
| E-690 |
F-214 |
Evolutio formulae integralis ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) per logarithmos et arcus circulares |
| E-695 |
F-215 |
Integratio succincta formulae integralis maxime memorabilis ∫ dz/((3±zz)*3√(1±3zz)) |
| E-688 |
F-216 |
Specimen integrationis abstrusissimae hac formula ∫ dx/((1+x)*4√(2xx-1)) contentae |
| E-669 |
F-217 |
Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet |
| E-672 |
F-218 |
Theorema maxime memoragile circa formulam integralem ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1 |
| E-673 |
F-219 |
Disquitio coniecturalis super formula integrali ∫ (dφcos(iφ))/(α+βcos(φ))n |
| E-674 |
F-220 |
Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1 |
| E-670 |
F-221 |
De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur |
| E-060 |
F-222 |
De inventione integralium, si post integrationem variabili quantitati determinatus valor tribuatur |
| E-464 |
F-223 |
Nova methodus quantitates integrales determinandi |
| E-640 |
F-224 |
Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae |
| E-660 |
F-225 |
Institutionum calculi integralis volumen quartum, continens supplementa partim inedita partim jam in operibus academiae imperialis scientiarum Petropolitanae impressa. |
| E-675 |
F-226 |
De valoribus integralium a termino variabilis x = 0 usque ad x = ¥ extensorum |
| E-588 |
F-227 |
Investigatio formulae integralis ∫ (xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x = ¥ |
| E-589 |
F-228 |
Investigatio valoris integralis ∫ (xm-1 dx)/(1-2xkcosθ+x2k) a termino x = 0 ad x = ¥ extensi |
| E-594 |
F-229 |
Methodus inveniendi formulas integrales, quae certis casibus datam inter se teneant rationem, ubi sumul methodus traditur fractiones continuas summandi |
| E-620 |
F-230 |
Methodus facilis inveniendi integrali huius formulae ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ¥ |
| E-462 |
F-231 |
De valore formulae integralis ∫ (xm-1 ± zm-n-1)/(1 ± zn) dz casu quo post integrationem ponitur z = 1 |
| E-321 |
F-232 |
Observationes circa integralia formularum ∫ xp-1dx(1-xn)q/n-1 posito post integrationem x = 1 |
| E-421 |
F-233 |
Evolutio formulae integralis ∫ x f-1 dx (lx)m/n integratione a valore x = 0 ad x = 1 extensa |
| E-463 |
F-234 |
De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1 |
| E-587 |
F-235 |
Observation in aliquot theoremata illustrissimi de la Grange |
| E-499 |
F-236 |
De integratione formulae ∫ (dx lx)/√(1-xx) ab x = 0 ad x = 1 extensa |
| E-629 |
F-237 |
Evolutio formulae integralis ∫ dx(1/(1-x) + 1/(lx)) a termino x = 0 ad x = 1 extensae |
| E-500 |
F-238 |
De valore formulae integralis ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) a termino x = 0 usque ad x = 1 extensae |
| E-475 |
F-239 |
Speculationes analyticae |
| E-662 |
F-240 |
De vero valore formulae integralis ∫ dx(l(1/x))n a termino x = 0 usque ad terminum x = 1 extensae |
| E-752 |
F-241 |
De integralibus quibusdam inventu difficillimis |
| E-656 |
F-242 |
De integrationibus maxime memorabilibus ex calculo imaginariorum oriundis |
| E-657 |
F-243 |
Supplementum ad dissertationem praecedentem circa integrationem vormulae ∫ (zm-1 dz)/(1-zn) casu quo ponitur z = v(cos(φ) + √(-1) sin(φ)) |
| E-621 |
F-103 |
De summo usu calculi imaginariorum in analysi |
| E-694 |
F-104 |
Ulterior disquisitio de formulis integralibus imaginariis |
| E-707 |
F-105 |
De insigni usu calculi imaginariorum in calculo integrali |
| E-721 |
F-244 |
De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt |
| E-630 |
F-245 |
Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi |
| E-635 |
F-246 |
Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur |
| E-653 |
F-247 |
De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur |
| E-254 |
F-248 |
De expressione integralium per factores |
| E-011 |
F-249 |
Constructio aequationum quarundam differentialium, quae indeterminatarum separationem non admittunt |
| E-028 |
F-250 |
Specimen de constructione aequationum differentialium sine indeterminatarum separatione |
| E-031 |
F-251 |
Constructio aequationis differentialis axn dx = dy + y2 dx |
| E-095 |
F-252 |
De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt |
| E-429 |
F-253 |
De variis integrabilitatis generibus |
| E-269 |
F-254 |
De integratione aequationum differentialium |
| E-650 |
F-255 |
De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles |
| E-010 |
F-256 |
Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus |
| E-265 |
F-257 |
De aequationibus differentialibus secundi gradus |
| E-700 |
F-258 |
De formulis differentialibus secundi gradus quae integrationem admittunt |
| E-677 |
F-259 |
Methodus singularis resolvendi aequationes differentiales secundi gradus |
| E-679 |
F-260 |
De formulis integralibus implicatis earumque evolutione et transformatione |
| E-062 |
F-261 |
De integratione aequationum differentialium altiorum graduum |
| E-188 |
F-262 |
Methodus aequationes differentiales altiorum graduum integrandi ulterius promota |
| E-720 |
F-263 |
Observatio singularis circa aequationes differentiales lineares |
| E-741 |
F-264 |
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi |
| E-680 |
F-265 |
De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt |
| E-681 |
F-266 |
Specimen aequationum differentialium indefiniti gradus earumque integrationis |
| E-714 |
F-267 |
Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi |
| E-284 |
F-268 |
De resolutione aequationis dy + ayy dx = bxm dx |
| E-251 |
F-269 |
De integratione aequationis differentialis (m dx)/√(1-x4) = (n dy)/√(1-y4) |
| E-345 |
F-270 |
Integratio aequationis dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4) |
| E-430 |
F-271 |
Observationes circa aequationem differentialem y dy + My dx + N dx = 0 |
| E-734 |
F-272 |
Integratio aequationis differentialis huius dy + yydx = (A dx)/(a+2bx+cxx)2 |
| E-751 |
F-273 |
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi |
| E-678 |
F-274 |
Methodus nova investigandi omnes casus quibus hance aequationem differentialem ddy(1-axx) - bx dx dy - cy dx2 = 0 resolvere licet |
| E-431 |
F-275 |
Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0 |
| E-274 |
F-276 |
Constructio aequationis differentio-differentialis Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, sumto elemento du constante |
| E-319 |
F-277 |
Recherches sur l'integration de l'equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z |
| E-236 |
F-278 |
Exposition de quelques paradoxes dans le calcul integral |
| E-285 |
F-279 |
Investigatio functionum ex data differentialium conditione |
| E-391 |
F-280 |
De formulis integralibus duplicatis |
| E-581 |
F-281 |
Plenior explicatio circa comparationem quantitatum in formula integrali ∫ (Z dz)/√(1+mzz+nz4) contentarum denotante Z functionem quamcunque rationalem ipsius zz |
| E-506 |
F-282 |
Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali dx/√X = dy/√Y |
| E-676 |
F-283 |
Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi |
| E-724 |
F-284 |
Recherches sur quelques integrations remarquables dans l'analyse des fonctions a deux variables connues sous le nom de differences partielles |
| E-785 |
F-285 |
Integration d'une espece remarqable d'equation differentielle dans l'analyse des fonctions a deux variables |
| E-737 |
F-286 |
De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur |
| E-687 |
F-287 |
De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium |
| E-784 |
F-288 |
Solutio problematis analytici difficillimi |