nendo J^g=jr- prodit enim rfxj=|- Hinc i-x 3 ^^ 

 et i+x':-^. Differentiando autem oritur 3^xc)X- r ^|-^ i 

 adeoque 



x 3 x = 3 r ' y . ; et 



(/+0 2 /(r — O 



? 1 2 



(1 -+-x 3 ) /(1 —x 3 ) //(r/— *) 



Pofito vero y (// — 1 ) = z refultabit 

 5/ - I - %r)% 



3 " 3 



3 1 2 s 3 •/ 2 



z 3 



/i (r/-i) 



Vnde patet formulam reddi rationalem 



( 1 -l- x 3 ) j/ ( i — x j ) 



fubftitutione x 3 = — — y , atque integrabilem effe 



/(l+Z J )+I 



formulam 1 c Y — j nam p fito j/(i — x 3 )=/ 



(2-i-/ 3 ) /(i - / 3 ) 



r i xd x , . . ydy 

 formula — . * — abit 111 - — . 



(1 -+- x 3 ) j/ (1 — x 3 ) (2 - f) y (1 — f) 



3 



§. 4. Formula _Li_l!_I_j! adhibita fubftitutione 



1 -+- x 



x=r— - abit in _^L^ii_l«_Z). Iam ponaturul- 



y -f- I y ( ! -f-/) 2 



terius 



