$2 DE INTEGRATION % 



quod vt ad eundem denominatorem reducatur, ftatuamus: 

 %~cA 



»(i— a 



» = 



2 ( 2 Z-f-l) 



fC , (i-+- ■ )* G — ( '—-») A 



*£. — + — ^7( 2 i-f;«)*c A 



fTN (i -+- *■) ( i -+-')'( '.— 'H* — ___rii A 



etc 

 vnde fiet : 



-|_l _i_, 



jr.= 9U 1 '"*" 4-$23v 2/ -*-'+£v 27 -«- t + gjsr"*" 1 - H- etc. 



gfr 5 ^ 1 -+- JBa?***^4-C* k, *M 1 ©w 2 * -1 *' -+- etc. 

 Ponamus porro breuitatis graria : 



Ar^' 4-Bx 1 ^' -f-Cx^-»-' -+- Dx z '- + "-hetc. =_ P 



A^-*- 1 - Bx^+^H-Cjt 2 ^' - Dx 1 -*-' -hetc =_Q 



^ x2 i-+^_ h 35^i^_ i _^a^ + ©x i ^+-etc.-^ 

 — i — i— i ___* — r— * 



- 9f x"-*- 1 -+- Sgu** 1 '-*" - C^" 4 " + fc***"! - etc. _£> 

 atque integrale completum erit : 



Tum vero diuifor, aequationem propofitam reddens in- 

 tegrabilem, erit __ (Vy- ty Qy ~ jQ). 



Coroll. i. 



— * i 



8i. Qiiodfi ergo in aequatione dy-\-yydx-\-ax il ~*- 1 

 Wa*__o coefficiens a fuerit quantitas negatiua , vt pofito 



azz 



