(40 



inucjligore fummam hnhis feriei : 



S — 1 -\- A"- -\- B' -\~ C^ -^ Dy-i- etc. 



Solutio. 



Cum igitur fit 



(i — x^)~ ^ 1= I 4- A AT^ -}- B A-"- ^ + C a:» ^ -h ctc, 



\v'"~ ' c) X 

 multiplicemus vtrinque per -^ , atque integrando 



habcbimus : 



^"-''dx r x°-'dx . . rx^-^^-^dx 





H- B / -^ h C / , H- ctc. 



Omnes autem has formulas intcgrales per quantitatem A ex- 

 primere docuimus, qui valorcs fi liibdituantur , perueniemus 

 ad lequentem Icriem : 



/ 



/(i-.vV 



_4_ C. i- . ^^ . ''-^^ . A etc. 



& ih 3b 



quae feries manifcfto rcducitnr ad hanc : 



A (f -f- A^ + B^ -H C= -f- D^ H- etc.) 

 vnde ferici noftrac propofitae fumma quacfita erit 



S 



= -J-' 



r"-' dx 



9 



Vix-x') 



6 . 2 a 



exiftente A = 



T 



^ fm. !^ 







Corol- 



