196 OBSERVATIONES DE CASIBFS 



Exempl 2. 



Sit aequatio data 



ax ^dx-\--^uxdx-^ux 2 (lx-\-u} dx-bu^ xdx—hu^ dx 



zii—\x - du—^^xu 2 du— ^ u^du. 



crit azr—- 5-. ^~o. yz::— i . ozzo. £=;-~l . & reliqui coefH- 



cientes n:^. ^rrrs. g::::-!. k—o. m:n2. quam ob rem ipfa 



«quatio dextre tradata perducetur ad 



1 



W_ l 3 6 / 



^ 2h 4.& 312? 



2 2 4- 



22 2<\5 



V. 



_2ae— 6 — 2flc 



i^quatio ^at & ^r-^-^AT * udx-\-cu'^ dxzzdu 

 cft integrabilis , fi ^^i^ fit numerus integer. 



Tiemonflr. 



— 2ac 



Si ponatur zcnj'— |^ x~^~ fict 



p — 2ac-& 



j ax ^ ^a: 



1 — 2ac — zae 2 ^ae 



i -{-hx~^ ^ udxiz:hy~^~ dx~—x~^ dx . 



I — 2ac 2 — 4.ac 2 



l-{-cu^dx:=.-hy b-dx-^-^-x^^^dx-^-cy dx 



— 2ac — h 



zzduzzax ^ dx -_ — _.„ .^ -f-^. 

 hoc eft, omiflls terminis qui idt deftruunt, 

 ^x & ^;ir-+-r)' dxz=.dy. 



quam conftat efle integrabilem fi ^^ fit numenis in. 

 teger. 



VI. 



