= (53) = 



Quoniam autem exponens a fupponitur ncgatiuus, rn- 

 de ambae formulae integrales euaderent infinitae, vtamur re- 

 duftione in Lcmmate I. tradita; 



ct fada applicatione ad priorem formulam integralcm, (umen- 

 do *■ — — a — a, crit 



/ 



— a — at. 



__(a+«)y^a + &-r^^ (l —X^) b^^, 



Pro altera autem formula noflra integrali fumi debet czm — a, 

 fietque 



I 



— l x\i -x^^T- f x^^^-' d X {i- x^)~s—. 



b,a 



V(i-x') 



Cum iam exponens a -\- b fit pofitiuus, per rcJudio- 

 ncm in Corollario Lemmatis IIL quae erat 



fx"^' 3a-(i — .vV"~~ ^ = ^V-v"~' ^x{i —x^)^^ 

 pro cafu pofterioris formulae habcbimus 



fx''^^-''dx{i-x^)~T—--^_fx''+^-'dx(ii—x^)'b'--L^\ 

 ficque formula noftra integralis poftcrior ita exprimctur, vt fit 



<jui valor a priore formula integrali fubtradus relinquit pro 

 parte fiuiftra hanc expreflionem : 



G 3 ' tx' 



I 



