___ i r Ax n - Z dx 



' 9 (C-hD x n )/(a-hbx n f 

 _i_ r B x n ~ x 3 x 



(C+Df) )/ (a-+-bx n J*. 



quarum prior rationalis reddetur, ponendo X , - t; 



V (a-\-bx n ) 



X n n t n 



ent emm . — =z t n 9 unde elicitur x n — — — ; unde 



a -+- b x n i — b t n 



patet litteras A, B, C, D, quae in hac parte occurrant , 

 fore funftiones rationales ipfins t% porro vero ob 



n l x ~ l a -+- n l t — l ( x — bt n ) , 

 erit differentiando 



3jr__.3_:_ 4 _bt ?1 ~ I 3t_ dt 



x ~~ t i ~bt n ~~ tji — b ¥) ' 



Cum igitur fit 

 ,x l 



V 1 et 



V (a-h-bx l ) m 



C + Dfzz C + t-(aD- __C) 



i — bt n 

 his fubftitutis pars prior formulae t) erit 



A t 771 - 1 3 t 



o y i 



C + t n (o D — b C) 

 quae ergo eft rationalis, eiusque propterea integrale per lo- 

 garithmos atque arcus circulares exhiberi poteft. 



f. «. 



