(A -h <t'') (i — (^^)), I ita ut , si formula proposita littera 

 S designetur, sit 



S — (A -4- ri")Vx^— ^ 3 X Ci — (fl--^) )>^ 

 et per senem mfinitam ; 



' S— C4-^a")Y3c^~^^^Ii-r7l C— -^)-Hpir^-'Y-ctci 



. -^ ^ Lij \ ^ _j_ g„y L2J v.^ — ^y ctc.j 



unde si ponatur 



difFerentiando et per x'™"^ ^x (a'^— x'')'-* dividendo fiet 



o'' — x" ~ A -^ Bm (a'^ — x'^) — B;i^x% 

 unde conduditur fieri debere 



B z= — ^L_ et A ~ ^^ 

 Quodsi igitur integrale a termino x zz: o usque ad x z= « ex- 

 tendatur, membrum algebraicum Bjr™ (a" — x^^y pro utroque 

 termino mtegrationis evanescit , dummodo exponentes m et $ 

 non fuermt n^gativi. Sublato i^itur e comparatione hoc ter- 

 mmo erit 



/i— ' dx Co" - *-y =: ^?l/x"-' ax (a''-.x-)'i-' 

 litis ^7i ''^'''''^ '"^ "'"^ ''^^^^^ P^o terminis [integrationis stabi- 



/x"*-*ax=£!? 



/x'^-^ ax (a''— X") -— ^^" .g!i 



fx^~^ dX Ca^^-^X^y = .2n_an_ ^ jrran_ 0"» 



"1-1-2 n. * m+n * m 



/X^~^ DX (a" — X")' =^ ^3no" ^ 2na'» ^ na" «W 



W.-J- 3nfa-f-2ii*T7i-i-n*7n, 



etc. etc. 



quibus substitutis integrale forraulae propositae , Bh x — o ad 

 * — a extensum , si loco a quantitas variabilis x iterum resti- 



tua- 



