m CALCFLO miEGRALl 159 



integrabiliuin -+-Qfx^dx:a'\-bx^. 



Hac ergo ratione huic unico exemplo inclufa (lint 

 fingula feptenn theoremata, quse in Adis Erudit. 17 19. 

 fine demonftratione publicata funtpae. 269. & theore- 

 ma ocftavum inde etiam derivari poteft. Scio quidem 

 demonftrationes borum theorematum iam exhibitas 

 fuiffe tum a Bulfingero noftro,tum etiam a Kkolao Ber- 

 noulli V V. CC.pag. dfiy . fq. A^.Erud. 1720-, non 

 incondiltum tamcn duxi theorema noftrum generale ad 

 haec ipfa applicare. , 



Exemplum 5. 



Sit dicm^ifMz-hzdz-.zzV^kz-lz^ -\-mz'^)z=.-'lz~ ^ dz 



^'i,kz~'^dz:V {mz'^ —Jzz-^-k) adeoque dK-zz—lz ^dz-\- 



<; 

 '^kz^^dz , 'R.izimz'^ -lzz-\-k , & X=:— f ; quare aequatio 



canonica nunc eft ^<.=:^M^-+-R^M. Eftvero dKrz \ 



^mzzdz—zJzdz , dividatur ergo fecundum monitum pri- 



_L 



mum Scholii generalis membrum— /s~ ^ ^^ qnantitatis dK 

 per membrum —2Jzdz quantitatis /?R , orietur in quotie- 



nc negle<fHs figno & coefHciente z~^ , quare pono M 



1 -1. 



ii:A2~2-f-N, &^flVtr-|As~2^s-+-<?N , quibus in ca- ■ 



i 1_ _JL 



nonica furrogatis, prodit — /s" '^dz-^-^i^kz^^dzziz^JAz ^ 



dz |;^A2;-2^-_f-iNrJR-|-RrtfN. Quare pofita 



Az=— 2 , aequatio hacc deftriidis deftruendis prxbebit 



^N^R-4-RrfN— 0. Proptereapermonitum ad exempl. 



, L 



primum, fient N & r/N^o , atque adco Mzz-ss ^ a- 



deo- 



