xo5 METH. FACIl ATQVE EXVEDIT. INTEGR. 



^~l{a-x). Ex altcro f"i(florc a-^x , qui dat a-=— <r, 

 £( M _. ^±2£f — — I ; iiidcquc integralis pars oritiir haec 

 ■" ° /5^ =^ — 1 / ( <»-f--v )• Intcgrale ergo quacfitum ra- 

 pcrtum tftm C-.v-^r/l^-AO-^/t^J-f-.vj 



arrdr 



Excmpliim 5. 



§9. Huius formulae diffcrcntiaUs ■ ^.-.^'"u-^ji.-^r 

 intcgriilc inurnirc. 



Hic vari.ibilis .v in numcrntorc pauciorcs hnbct dimcnfio- 

 nes, quam in dcnnminntorc ; idcoqiic in h:ic fiadionc par- 

 tcs intcgnie ncm contincntur. Ad dcnominntoris crgo fic- 

 torcs nggrcdimur , qui finguli liint fimpliccs rcalcs. Pri- 

 mus fIi(flor i-.v dat .v— i , ct S~ (2-v) (a-.v) (^-.v) 

 hincquc " = U.^)ill)i.-x) ~ '" P"^'to .r =: i : ex prl- 

 mo ergo taftore i —x nafcitur intcgr.dis pars ', J-^ — 

 — i /(i— .v). Stcundus fi(ftor 2 — .v \\\t .v — a , et 

 ? — , — ~-r, — r :=:. — \ — ~^ pofito .v — z hincque 

 mfcitur intcgralis pai-s - 2/,^, == = /(=--v)- Tcrtius 



fiaor 3 --v li-it .v-3 ct ^ — (.■,)i:l!)u-.) = l ^"dc 

 oritur intcgnilis pars ? /^ =— » /(3-.v). Qiiartus 

 flKflor 4-.V dat .v— 4 ct f =r (^^ij^Itjj^ = 7;*^- = — 

 ^ — — • ; vndc prodit conucnicns integralis pars — ; 

 J .^- — * /(4— .v). Ex his crgo formulac diffcrcniialis 

 propofitac (7:iy(r-^7fe)(rT) intcgralc coll.gitur — C - ; 

 /(i-A-)-l-2/(2-.v)-2 /(3-.v)-+-J /(+-^-)' 



§. 10. 



