120 



§. 7- Piogiediamui- nunc ad casum quo integratio 

 termini — — nostrae seriei ab integratione termini cujus- 



''" "^"^ pendet. Si ite- 



dam non immédiate praecedentis ^ 



n -N 



X o X 

 mm rruT/Y, et rz^P statuatur, habebimus,~ut su- 



-pra, x"Y "^ dx-YdP. Haec aequatio, posito Y=x''(a4-bx ) 

 induit hanc formam : 



T, 



B) x'^-^-^y" 



Sit iara R zn — 



■' n - ^ . 



m — • I 



dR-x''-"''-' Y^-^~ dx-i--.^^"^^^- x""-'-'^' Ç, vel ob 

 dY—aqx''~'dx-i-h(q + v)x'^'^'"' dx erit 



_^ /flqx"~'3x b((74-v)x"3x^ 



! 



a9P 



771 — I 



X' ' - Y ™ ^ erit 



dR-x 



m — 1 

 „t — 9 — V -tr m. 



dx- 



m(n — 5 — v + i)\ "*/ V "V Y 



Sed per aequationem B) consecuti sumus pro formula 



„n — q — V 



in expressione dK, nanciscimur : 



x' ^ Y ™ 3x valorem -^ -}- hdV , quo substitutc 



(m— i)<] 



X dx 



Cm— i)(<7 + v) 





X dx 



et integrando : 



dx 



m(ii — 5 — » + i)' "i/vr » 



•R=«(i+;;r(;^-Pô)/^,-^--+- Ml 



(m— i)(<7-l-v) 



7Y 



1(71— g— v4-i)/y "yy • 



)/ 



x^'dx 



