»78 DE CRITERTI3 INTEGRABILIT. 



(^)=Mv(lf)-/^'V:.(^)4-/^)J^(l^) 



-r''dx['^)-\-^.l^'^dxitL) 

 +/'V.(J|)-3r'V.-(J--) 



-/<'Va-;il)+./'^'Va-(2-^)-3A^'VA-(^-^) 

 +/'W.v(J-^)-3/^^VA-(^,^) + 6y^Uv(2-Jf) 



vbi qiuira progreflionis lex iam fit manifefta, plurcs 

 terminos accumulare inutile ducimus. 



6. Qnematimodum § lo prloris difTLrtationis 

 oftcndi , ad integrabiiitatcm fonr.ulae V</.v, pofito 



dY zn h\d x-^-^t^dy -\-? dp -\-\}du 



reqiiiri , \t fcqucntes formuiae intcgrationcm ad- 



mittant 



^.v(N.v+P) 



^A-(N.v' + 2P.v-4-2Q.) 



</A-(Nx*-f3PA'' + 3.^^Q.-^"+R)) 



^a'(:N.v™-+(w- I )Vx^''A{m- !)('«- 2)Qa-"'-'. ... 

 4-((/«-i)(w-i}....i)(S.v-f-T)) 



ita nunc formuhe quoque exhilicri pofTunt , ad qua- 

 rum inte^rabilit.ucm rcduci ccnlcnda cft intcgrabilitas 



formu- 



