3+ METH. INTEG. FOR.^L DIFFERENT. RATION. 



in qiia varlabilis x p-.uitiores h-.ibc-.u dimcnfioncs in nume- 



ratorc quam in dcnomiiutt^rc h.iiibqiic intc^r.ile quaer.itur: 



dico intcgr.ilc cx tot compolitum forc partibu-. , q.iot 



dcnominator contincat fiiclorcs (impliccs a (c inuiccm di- 



"vcrfos. Atque ex quolibet ficlorc dcnomuv.itorii. (impUci 



ciusquc potcntia quacunque par^ intcgralis quaeliti fcqucnti 



niodo inucrtigatur. Sit 



( I -hp.v)" fi(flor (eu diui(c)r dcrKJminatoris ■ 



Atquc ponatur brcuitatis gratia : 



numcrator AH-R.v-i-C.v'-i-D.v'-l- ctc. — P 



dcnoiniait. i -\- a.v -|- (3 v*-!- V-v' -+- ctc. ~ Q_ 



Tnm continuo ditfcrcntiando dcnominatorcm Q^, po(ito x 



■variabili et dx conllanti , capiatur 



P/)— Vv'' Pp-^i-f-Av)' 



V ~ —- — \cl quodidcm cit V n: — 



(/"(^ ' I . 2 .3 ... .«.(^ 



ac fiat poflca .v— — J,, \t exeat cx hac exprcdionc .v, 

 mancatque V fiinclio ipfius p ct conilantium ; quae dein- 

 ccps diffcrentictur pf)ncndo p variabilc et dp confUns. 

 Qiio f:i(flo ex taclorc (i-f-P-v)" natcctur intcgralis quacfiti 

 illa pars : 

 «^:'} r±i£ , n(n-i]d^rj^ n(«-iX«-a)r/^ '^,^-^vjx__ 



n(;;-i)(«-2H«-3^^%^. .,a. 



qiiac tot conll.ibit mcmbris , quot n continct vnitates. 



§31. Habcmiis hic valorcm ipfius V duplici modo 

 cyprcir.im , quonim co , qui comm'x]ior vifiis fiicrit , vti 

 conucnict. Si quidcm dcnominator (^ iam fucrit in fuos 



fadorcs 



