CVIVSDAM INTEGRALIS. 121 



hincquc 



[+-].[-n=3a=4^^, 

 vnde in genere hoc Theorema adipifcimur quod fit 



cuius ratio ex methodo interpolandi olim expofita 

 ita rcddi poteft : 



cum fit [X]=i -■— . -— -rV* "TT^-i" cfc. 



"■ -^ i-i-X 2-f-A 3-V-X 



erit 



hincque 



i"*"\2~'^ a'"*"\ 3~^ 3'"*"^. 4"^^ 



erit [ — X]r= ■* — . : — *~r~l — etc. 



•- -• I— X a — X 3— X 



[X]. [-X] __ ^i^. -±-1-^. -^^ etc. ^j^ 

 \ti alibi demonftraui. 



Problema 6 generale. 



44. Si littcrae i et n denotent numeros inte- 

 gros pofiriuos definire valorem formulae integralis 



i — t n z — n 



fdx(/^) 1 feu/</A'y(/;) , intcgratione ab a"-o 

 ad X - I extenfa. 



Tom.XVI.Nou.Comm. Q Solu« 



