7» METHODFS GENERALIS 



Fiat ? -4- pw^- /)?:-/>— f«-|-^; eiitp—c et 7:~ i 

 — ~r~^r- His liibllitiitis cmergct i(t;i acqiiatio 



--e^) 



l — b -+- e_ h_ 



acx ^ <= (7'(.i".0 __ 



Siimantnr iterum integtnlia , erit 



dx 



b e 



fxe dx( ) : hincquc s zz. r-/A'« "<= ~ ' dxfx'' dx 



/ i-v;'\ _x^-^fxhxii= i) -fx ^ dx ( ;-^^ ) ^^.^^^^^ 



' a 



hic notandus eft , ^\bi;:iz.ae^ qno fitj — ^. Erit au- 



I -^ /'t - v"\ 



tcm iuxta priorem formam S — r-/-/^'''^.v( — '— ) 



, , • , Ixfx^^dxi 1=^ ) -fx^dx (l^) / X 

 quae mutatur in hanc sziz^ ' — ^ -^ ■ — ^ ^ 



acx''- 



Callis hic accidit, fi dcnominatores {an-\-b){cn-\-e) 

 fuerint quadrata vel horum quacdam multipla. Si fue- 

 rit .V zr I , haec liibilitatio vt ante dcmum pofl in- 

 tegrationem fieri debet in quantitatibus figna intcgralia 

 prae fe habentibus, at in finitis ftatim ficri poteft x—\, 



^ . f( x^ - .V" )dx(^ 1:=^ ) „ 



Erit ergo s:=^ - - '^t-L. Ex quo apparet 



bc — ae 



f_ b_ 



ii x" —x^ potefl: diuidi pcr i— .v fummam progrclfio- 

 pis cflc aigcbraicam. At calii quo bczz^ae^ liet Ix 



