(30) 



■vnde iterum per partes integrando nancifcimur 



2 Z rr (X — «)/^ J" cof. (X — I ) (p -I- (X -h ;2)/a j co f. (X -f- I ) 0, 

 hincque deducimus iftam integrationem gencralem : 



/a x cof. (X-4- 1) (p = ^-^ cof. (J)" fin. XCJ) - '^^'/a j cof.(X-i ) Cp. 



§. 12. Sumamus nunc primo X ~ «, vtpofterius in- 

 tegrale tollatur, ac prodibit 



fds cof. (« -f- i) Cp ^n -1 cof. Cp'' fln. n (p. 



Nunc autem porro ponamus X zzz « -f- 2, et forma noftra gene- 

 ralis nobis praebebit 



/a^cof. (7iH- 3) ^=^ cof (fi^^fin. («-I- 2)(p-_I_/-aj cof. (;;-f-i) (p, 



■vbi crgo pofterius integrale iam efl: inuentum. Fiat \lterius 

 X — ;2 H- 4, et habebimus 



/ajcof. (;z-H 5) (I)-5^cof.(I)"fin. (;;-+-4)(p-_J_/'ajcof. (;;-h 3) (f), 



quod poftremum integrale itidem iam patet. Sumamus nunc 

 X ~ « -}- <5, et forma generalis dabit 



/a i cof (;/ -H 7) (|) = -i- cof. (p'^ fin. (« -+- (5) (J) - -L-/ai cof. (;; -f- 5 ) 4). 



Simili modo fi faciamus Xzz:«-j-8, obtinebimus 



/a/ cof. («-hp^^pr-L-cof.^p^fin. (;7-^ ^^(p-^^/ajcof (;;-^7)(p. 



Hocque modo vlterius progrediendo, perpetuo fequentia inte- 

 gralia per praecedentia exprimere licebit. 



§. 13. Quodfi ergo valores integrales praecedentes in 

 fequentibus fubftituamus , confcquemur irtas integrationes abfo- 

 lutas : 

 I. /a / cof. (;; -j- i) (|) zz: -^- cof (J)" fin. ;; (^. 

 II. /ajcof. (;; 4- 3) (|) zz: J^^ cof.(p" [nn.(«-}-2)(I)— ^fin.«(p]. 



III. / a j cof. (;; 4- 5) (p — ^ cof. (p" [fin. (;; -}- 4) (J) 



— -^ fin. (;; -H 2) (1) -|- _1- . L fin. n (I)] . 



IV. 



