^ 4- ^ j^ rr ^-^l^ , ideoque 



* 7 a z — b — b z z 



^ ■ — c (1 H- a z) 



IUa autem acquatio differentiata dat 



-f-z z] — 4. a z z 



,j„ ioda(i-+- z g) — * a z z d a » a d « (t — % g) . 



C U X -,z — : _ .„ ~- — • ~ ; ~ ^>x 7 



vnde fit 



J ^ 1 a d z f i — % z) 



" •* ' c(. -f-' a aj» • 



Porro autem , cum fit 



j = ^ — (^-hcjr)5;, cb b -{- c x = ~^^ 

 erit j :::z " ^' ~ -' ' ''^ , quocirca, fi loco jr , j et ^ jf inuenti 



hi valores fubflituantur , formula propofita differentialis 

 Xdx euackt rationalis , et per variabilem z exprimetur, 

 cuius integrale poftquam fuerit inuentum , loco z \bique 

 eius reftituatur valor affumtus 



z~ a — y {a a — ib-i~ cxf), 

 et integrale obtinebitur per folam variabilem x exprefllim,' 



Exemplum I. 



§.31. Si fuerit 



d X 



V (e -+- (6 .+- c X)»)' 



quae formula ad cafum priorem pertinct , erit 



dj = ^-^ — -p ob dxzz-i^Il±l^ et s-'-±^% 



cuius integrale eft jzn — ^/xj reftituto ergo valore 

 z~y {e^(b-he xY) ^b- cx, crit 

 j-~ll{y{e-^ {b-i-cx)^)-b-cx}^C, 



quod integrale ft euanefcere debeat pofito x—o, fiet 

 C = ll[y{e^bb)-b). 



C 2 CoroJ-' 



