(ggb ) 0 ( (35 irr 



liam (S ') & ita porro. Et (icut (S) mukiplica- 



tum efl per n — 15 per fecundam operationem 

 cmergens formula (S, ) multiplicata invenietur 



per «. ;/ — i. »— x, ;/ — 3 , & ^equens (S") per 



ti — I. n — -L, n — 3. ;/ — 4. atque ita dein-' 



ceps , iiiide ob numerum ;/ integrum , perve- 

 nietur ad formulam evanefcentem , & habetur 

 integrale formulas propofitae (P) in terniinis fiiii- 

 tis. 



3) Si fuerit ;/=o, evanelcent formulac R &S-, & 

 habetur 



■ ii 



i 1. 3. I. ?.f.^. * «'at 



+ {k H + X •- • 



z/ 2.4./* 2,4 |/y;^^4.r 

 quod omnino convenit cum ns^ .qu^ae pcr metho- 

 dos vulgares inveniuntur. 



4) Formula z''dx. (ax'"+bx'"--+cx'-'-'f+c^c.') etiara 

 integrari potcft bcneficio Theorematis pra^ce- 

 dentis. Quoniam tmmfz^^dy^zzy—fiijiz^-^dz^ 

 fi ily reprsdentat dx. ( ax"" -k-hx""-' +cx'''-f+(^c,) , 



tfAr"'+' bx'"-' cx'"-K 



adcoque^= 1 -{ — 4-^^^^, pa- 



tn^i m — I M — 3 

 tet efle fz^^Jx. {ax^^-^hx^^^-^^cx"*-'^-^ ^c.) 

 ax'"-^-' hx"*"' cx"^-^ 



zizX H 1 h &c.) 



m-hi m — X «—3 



• 



