=======(21) ===== 



iit, quin conclnfio noftra vera fit manfura. Ponamus igitur 

 p = q y — i , eritque vt ante x* -+- x~ p — 2 cof. q l x > tum 



_ 12L -+-«* 



vero erit fm.tl —- "—^- -> P ro integralis autem nu- 



n 2/ — 1 



meratore erit /*~ — /~~ »~ - 2 /— 1 fin. * l£ His J E kur val °* 

 ribus fubftitutis fequens nancifcimur 



Theorema. 



*dx coC q I x 



rr 7 ./,. /• 7 • /■ /^* Cof - ?** 



Ftf/or //?««■ formulae mtegra/is: I — • — — — — — - 



J x x -4- (j -4- j?) 



x 



<2 termina x — o euf&e ad x~ 1 extenfus^ femper aequabitur 



2 Trfin. i.// 

 formulae "w -__jir * 



XI. Deinde iam pridem obferuani, omnia huiusmodi 

 integralia fatis commode per feries inflnitas exprimi pofie. 

 Cum enim ifta fra<ftio: 



i* _ x n - +-* 



x n — 2 cof. g -f- x- 71 ~~~ x" w — 2 * n cof. J+i' 

 jefoluatur in hanc feriem: 



_2_ („•»•■-* fin. -f- **»-+-* fm. 2 -4- .v 3 "-^ fin. 3 etc.) 



Jin.9 v 



integrale iftud: /" — — \ a termino *ro 



& »/ x x* n — 2 jc n cof. 0-f- 1 



vsque ad * — 1 extenfum, aequabitur huic feriei infinitae; 



,* * s jin.t 1 Jin. 2? , /in.3» i Jin.*l _|_ etc# ) 



Hinc ergo, fi /> negatiue caperemus, tum formula noftra prin- 

 — ^-f-.y* abjf^oad x — 1 ex- 



X X n — 2C0~. '-r-*~~~ 



C 3 tenfa 



cipalis / 



