INTEGRALIFM PER FACTORES. 13* 



crit membrum anterius adhirc adiiciendo : 



Vt—vM-m-hkn^n) K(u.~ h ,Yn- h bi) (K^Tut-hn-t* j f^^^ [ * '^ ) ""' 



(/t_,)'n(M.-Hcv-vJ ' *(w-Ki)CfA4-.-.v) • et C- («-0(|ii-Htv-t-v)' CyV-— l dx{l-X*) v '~~ l 



quae fbrma quo ad propofitam reducatur, ftatuatur : 



h— 1— .-7; k-i~b; [t.—c\ m — e\ n — i- r v~zi\ 



ac m -±-k-i—e-^b-+-f; \l-\-k- 1 — c-+-a~z & 



Cum ergo haec reducTrio non fuccedat , nifi ifta condi- 



tione fit/zz *-f-* et £ — «-f-*; vt habeatur hoc 



pfodu&nra infinitum : 



^^_atik-\-e) ^-WjjVjf-Q^-f-g-fi) (gfg)(4ayHg+2) 



Qnare cum hoc cafii fit wz=e; kzz6-\-i; ^— G 

 et Kzztf-f-i, exiftentibus ?z — y — 1, erit 

 p—l&Ef) J^ e - l dx{i~-xf 

 ~b{a-^- c) ' fx c -~~dlcri-xf 



dummodo fint c* e,b-\- r pc ^^l« '« • r • • 

 un *, c^-t-x et a-\-i iiumen- pofitiui. 



Q, E. I. r 



CorolL 1. 



*« 35 ' C , Um per *' 9 ' & /^-'dxii-xp-i-z *& 



Jx«dx{i-xf-r, erit ; a 



/^'^(i-^z:^^/, (r J x fi ideoqi]e 



p - y^^KMr^H^ hfdx{i ~ x y 



^e[a-i-c){a-i-c-hi)'Jx c dx{i^cf 

 Et awi fit fi« - .&( x -^ ^J^r- > M , ^ /n erk 



/tf ^(i-^^-Vati^f- % habebitur quoquc 

 p— f x *~ [dxji —x b ~ l 



~~JX C - '</*( I~^ a - 8 



CorolL 



