(38) 



Corollarium. 



§. 9. Quodfi haec intcgrnli;i , qiiemadmodum in fe- 

 quentibus perpetuo affiimemus, a (ermino X-O vsque ad ter- 

 minum .vr i extcndi debeant, atque exponcntcs a etc. fuerint 

 pofitiui, mcmbra abfoluta praetermittcre licebit, ita vt tum 

 fequentes rcdudiones locum fint habiturae : 



I. /x''~'dx(x^x^f~'^—''-±^/x''+^-''dx(i-x^}'~''' et 

 II, /x^^ + ^-^dx^i-x^^b-^^^-^/x^^-^dxii-x^f^^, 



Lemma III. 



c 



§. 10. Pofito denuo V := x° (i —~ x^y, quoniam fu- 



3 V a d X — (a -+- c) x^ d X ^ , . , 

 pra inuenimus — ^ 4 — , fi hic loco prio- 



V x(i -x^) 



ris membri a d x fcribamus (a -\- c) d x — c d x, fiet 



d V d X (a -\- c) c d X 



~V~ X ~ X(l — A-*)' 



quae aequatio per V multiplicata et intcgrata praebet; 



c c 



/ 



V ^zx" (i — x^jb 2=:(a-+- cy/x"-' d x (i — .v^'' 



<^ T 



— cfx''-'dx(i—x''/ , 



vndc fequcntes duae redudiones obtincntur: 



c c 



I. /.v"-' D .V (i — x^)b ~ --;-^ x" (i - xy 



^ .S-./x''-' dx (1 —x\b ~ ^ et 

 II. /x"-' dx(i — x^)b ~ ^ — _ I a:" (i - x^jS" 



Corol- 



