|
59 | Theorems concerning the reduction of integral formulas to the quadrature of the circle |
| 60 | On the resolution of an integral, if after integration the value for the determined variable quantity is assigned |
| 162 | A method for integrating rational differential forms involving one variable |
| 163 | An easier and more expedient method for integrating rational differential forms |
| 168 | On the controversy between Messrs Leibniz and Bernoulli concerning the logarithms of negative and imaginary numbers |
| 254 | On the expression of integrals as factors |
| 321 | Observations concerning the integrals of formulas ∫ xp-1dx(1-xn)q/n-1 setting x=1 after integration |
| 342 | Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 2 |
| 366 | Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 3 |
| 385 | Foundations of Integral Calculus, volume 3 |
|
391 | On double integral formulas |
| 421 | Solution of a formula for the integral ∫ x f-1 dx (log x)m/n the integration being extended from the value x = 0 to x = 1 |
| 462 | On the value of the integral formula ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz in the case in which after integration it is put z = 1 |
| 463 | On the value of the integral formula ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1 |
| 464 | A new method of determining integral qualities |
| 475 | Analytical speculations |
| 499 | On the integration of the formula ∫ (dx lx)/√(1-xx) from x = 0 to x = 1 |
| 500 | On the value of the integral formula ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) bounded at x = 0 and extended to x = 1 |
| 521 | Analytical theories. Extracts of different letters of Mr. Euler to Mr. le Marquis de Condorcet |
| 539 | A supplement to the calculation of integrals for the calculation of irrational formulas |
|
572 | Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum |
| 587 | An observation on several theorems of the illustrious de la Grange |
| 588 | An investigation of the integral formula ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞ |
| 589 | An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞ |
| 594 | A method for finding integral formulas, for which in certain cases a given rule holds between them, where at once a method is related for summing continued fractions |
| 606 | Speculations concerning the integral formula ∫ (xndx)/√(aa-2bx+cxx), where at once occur exceptional observations about continued fractions |
| 620 | An easy method for finding the integral of the formula ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞ |
| 621 | On the greatest use of the calculus of imaginaries in analysis |
| 629 | The expansion of the integral formula ∫ dx(1/(1-x) + 1/(lx)) with the term extended from x = 0 to x = 1 |
| 630 | Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi |
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635 | Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur |
| 640 | Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae |
| 651 | Four most noteworthy theorems on the calculation of an integral |
| 653 | De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur |
| 656 | On most memorable integrations arising from the calculation of imaginaries |
| 657 | A supplement to the preceding dissertation about the integration of the formula ∫ (zm-1 dz)/(1-zn) in the case where z = v(cos(φ) + √(-1) sin(φ)) |
| 662 | On the true value of the integral formula ∫ dx(l(1/x))n with the term extended from x = 0 all the way to x = 1 |
| 668 | On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs |
| 669 | Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet |
|
670 | De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur |
| 671 | De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet |
| 672 | A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1 |
| 673 | A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n |
| 674 | Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1 |
| 675 | On the values of integrals where the variable term is extended x = 0 all the way to x = ∞ |
| 688 | A most abstruse specimen of integral contained in the formula ∫ dx/((1+x)*4√(2xx-1)) |
| 689 | Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet |
| 690 | The expansion of the integral formula ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) by logarithms and circular arcs |
| 694 | Later paper on formulas of imaginary integrals |
|
695 | A succinct integration of the most memorable integral formula ∫ dz/((3±zz)*3√(1±3zz)) |
| 701 | Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt |
| 707 | On the outstanding use of the calculation of imaginations in the calculation of an integral |
| 721 | De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt |
| 752 | De integralibus quibusdam inventu difficillimis |
| 807 | On the logarithms of negative and imaginary numbers |
| 816 | Thoughts on certain integral formulas for which the values can be expressed under certain circumstances by the squaring of the circle |
| 819 | Continuation of some fragments taken from the Mathematics day book |