m 



V. S = , 



m {m — O/a" a .V (i — x)™"' 



VI. S=: 



\m 



(/« H- « -t- i) /a-'' 5 X (i — A-)' 

 quae eaedem formae etiam ex pofteriore fequuntur. 



§. 39. Reducfliones autem iftae femper ita in vfum 

 trahi poffiint, vt in formula integrali ambo exponentes ipfius 

 X et i—x intra terminos o et — 1 redigantur, quippe quae 

 formae praecipue con/iderari folent. Ita G. fuerit in — 3 et 

 » m 4, hinc fiet : 



(1+2;)^=: i-hAz-^-Bzz-hCz^^-h etc. et 

 (x -\- zy = 1 -{- ^z-{- 6 zz -\- ^z^ -\- z^ 

 "ita vt feries fummanda fit Srzri-t-^A-j-^B-f-^C + D,- 



at vero erit S =: , vbi q — ^ et r — 5. Pri- 



"j f x"^ d X (1 — x)' 

 mo ergo exponentem r/ vsque ad nihihim deprimere potcri- 

 musj id quod ope redudionis IV fit, hinc enim erit 



5 s 



/jc'* d X (i — xf — /3/vV^ 5 .t (i — xfi 

 porro vero 



s s 



f x^ d X (1 — .v)* zzr 13 fx xd X (^i — x)^ ; 



deinde 



s 5 



fx X d X (i — xf — A fxdx (i — xy i 



denique 



5 s 



f X 'b X {i — A-)^ =: \fx 3 X (i — xf'j 



tioua Aaa Acad. Imp. Sc. T. Vlll, I fic- 



