120 



§. 7- Progicdiamur niinc ad casiim quo integratio 

 tciinini — — nostrae seriei ab integratione termini eu jus- 

 dam non immédiate praecedentis - — - — - pendet. Si ite- 



X a X 

 mm r=v^Y, et zndP statuatur, habcbimus, ut su- 



m-. y ^ 



pra, x^Y '" ax^YaP. Hacc aequatio, posito Y=:x''(a+bx'') 



induit hanc forma m : 



m — I 

 ^n-5-v v"l7i~ :\^ "3? 



B) x'^-''-' Y - ax^^^'f-f-bap 



m — I 



Sit jam K — ^— _- ^—^-^ + ^ Y'^^~~ , erit 



m — I 



aRz=:x"-^-^Y'^^ax-|--;'^--i-Vx"-^-^-^' '4, vel ob 



dY zz- a(\x^~^ 'à X -\- h {(] -\- y) x^^^~ ' c)x erit 



„ n V — ^ ™ , faax'~^'bx 6 (f/-i-y)x"9x\ 

 dKnx ^ Y dXH — 7 T-T 



m{n-q--i + t)\ Tryy m, y /. 



Sed pcr aequationem B) consecuti sumus pro formula 



m — I 



x" ^ " Y m 3 3, valorem -^~-\-bdP, quo substitut© 

 in expressione dK, nanciscimur : 



et integrando : 



