at vem frac^lio fpuria 4^- rcfoluitiir in has partes j^-i4-_:_ ' 

 vnde erit fl^^ = 1 x x - x -h- 1 {1 -{- x), quod integrale 

 iam euanefcit pofito at — o; fado ergo x~i cius valor 

 erit— -4-f/2i quamobrem integrale quod quacrimus erit 



/x xd xl X r ab X ~ o i '^ ( 1 m ' N 



; \.aix—x\ — — 4 l ' 2 — ^- j , 



Exemplum IV. quo /> = 4. 



§. 32. Hoc igitur cafu acquatio fuperior hanc in- 

 duct formam- 



p x^ d xl X — - r x' dx rx^ d X 



J V r — XX -^ V r — X X * "^ ' -*-«• 



Per redudiones autem notiffimas conftat efle 



/x' d 3 r a& X o -] 2 

 Vi — ;^LfldX I J 3 



tum vero fradio fpuria ~^ refohiitur in has partes ! 

 X X — X -\- 1 — ^_ , vnde integrando fit 



ff:^^-\x' -[xx-^x-l{i^x) 



ex quo valor formuiae erit :=: | — / 2. His ergo valoribuS 

 fubftitutis adipifcimur hanc intcgrationem: 



r xT dxl X r ab X — o i i / ■; j \ 



Exemplum V. qiio p — s. 



§. 33. Hoc igitur cafu aequatio fuperior hanc in- 

 duet formam: 



rx^dxlx r x*dx r x* dx 



^ TT^lt -^ v._xi ■•' '-+-«* 

 Conftat autem effe 



/ x* dx r 06 X ^^0 "1 I. I IT 

 , L ad X I J i. "4 • a 



VI XX 



tum vero fratflio fpuria -^ manifefto refohn^tur in has 

 partes : .v' - .v .x- + Jf — i -f ^^, vnde intcgrando fit 

 /*^-| — -x^^lx^-^-ixx-x-^lii-^-x) 



C a ex 



