10 METH.mTEG. FORM. DIFFERENT. RJTlON. 



Poniuiir ea —dj; vt fit dj = ^*- erit "^ = -^r^ 

 quod cum fit ditfcrcnti-.ile ipfius I{a-{-f^x) erit ^^ = 

 /(a-i-5-v), idcoquc intcgnilc tju;icfitum 



feu adiiciendo conllintcm f^ix — f /'^^' • fimili modo 

 fi numcrator totus pcr ^.v multiplicatus fit ditfcrcntiale 

 dcnominatoris , intcgratio ficilc pcr log.irithnv)s cxpcdic- 

 tur. S'\ cnim formula intcgranda lit : 



6-|-2'y.v-4-3'jA-*-f-4.e.v' 



— / ■ r—- ^ — ^i-- ; d X 



a -+- D v -|- y .V ^- A -i- e .v 



intcgrale crit logarithmus dcnominatoris , lcilicct /(a-|- 

 5A'-|-'y.v*-h(J.v'-i-£.v*J. Qiiodfi autcm fcmiiula diffe- 

 rcntialib fit liuiusmtKli , vt numcrator in d x dinflus fit 

 niultiplum quodpiam dcnominatoris , nempc : 



w 5 -H - " V v -f- 3 w 5 .V * -4- 4 w £ .v * 



dy — — —7 ~r~i — '"T — ♦ ^ X 



a H- .v -f- V -^' ~^~ ° -^" "+- ^-^ 



erit paritcr pcr logarithmos intcgrale quaefitum 



j=i;;/( a-f- b-v-i- y.v* -i- (J .v' -f-£.v*). ■ 



§. 8. Dcindc ctiam alius cafiis efl obuius , fi dcno- 

 minator fit qu:icpiam potcllis , ac numcrator in dx du- 

 <ftiis fit diffcrcntialc radicis dcnominatoris , vel cius mul- 

 tiplum vcluti fi fiicrit 



n b -f- 2 w y .V -I- 3 « (S' .V * -i- 4 «e .V * 



''•^-(a-f-b.v-+-VA-'-+-^A-'^.0- ^* 

 Ponatur brcuitatis crgo dcnominatoris radix 



a -f- b .V -f- Y .V * -f- 5 A" ' -f- £ .V * rr s 



crit {b-h2yx-i-:i6x^-\-^ex')dxz:^dz 



huicquo 



