o 



uumcratore loco / x fcribamiis, prodibitqiic 



{l — X) l X 



atquc hi nc 



_^iri —x) — i rr— A-y — i^i— A-v — etc. 



y — , 



/ X 



hinc igiLiir pcr partes integrando valor quacfitus erit 



fy dx-- 1 n-Lsi^2±5 - l/LL-J^JllJ^ - U'.'-:zp21f ~ ctc. 



J •' -J ix ^J Ix *^ Ix 



quae formulac fingulae fiicile ad formulam illam gcncralcm rc- 

 ducuntur, qua oitcndi cfle 



f-^-Z^dx=/^l±2,n 



J Ix / « -h I ^ 



Hinc cnim (tatim erit /" — *'^^ — / i , et quia cft 

 (i — x)- — 1 — X — (-v — X x) ^ erit 



pr-x)'dx —ll — ll — lLll, 



J l X * •* 2* 



Simili modo facile patcbit forc 



/•( I X.5<?X /1.3' . 



J Hc — StT » 



r { i—x )*dx 1 1 .3". s . 



J IX 2». 4* ' 



f [ I X )^3x 7 I.3'°.S' . 



J l~i =5. 4'°. 6 ' 



J n ^ -2*7:^507^0 ' ^^^- 



§. 6. Ex his igitur valor nolbac formulac /;• r) x pcr 

 fcricm logarithmicam prorfus fmgularcm fcqucnti modo ex- 

 primetur : 



Vbi 



(•) Hoc iiuegrnle diiplici modo ab III. Iu'iii.>; diflcrfationij Aucflorc fuit in- 

 venmm in Touio XIX. Mouorum Conuuciitariorum p;ig, 70 et 79. I". 



