si8 DE CRITERIIS INTEGRABILIT. 



Ipriim autcm integralc formiilae propofitae vti cui- 

 vis conllat cnt x—^—- Fn;eterca ctiam liquet has 

 formuLis f Md x , fH d x , f Ti d x efle intciirabiles , 

 corum integralibus exilkiuibus 



27. Propofita nunc efto haec formula differen- 

 tialis 



dx{2Vp' + 2 zp + 2 xpp' -\-xzq-{' xyq') — Ydx 

 pro qua igitur crit 



M — ^ppi^-zq-^-yq'-, N = 2/)'-|-.v?'; Ti — ^p-^-xq 

 P— 2 2-1-2.1"/,'; ^ — 2y-\-^xp-^ (^—xz et O.^Xy, 

 Vt haec formula bis fit intcgrabihs, ieu\t fdxfV dx 

 vcrum conrtituat intcgra!e , (cqucntibus qiiatuor 

 aejuationibus (atisfacicndum cft : 



III. ^ - 54 + V:^ :z: o i IV. ^ - '-/;,5^ O. 

 Qiium vero fit 



d a_ 



N-^4'H-^^^=:2p'-f-a-?'-^--^i^' = 

 tum vero P -• '~^'— o. Porro autcm ob 



^-'^fzZy-^Xp, fict 



£z 



