(91) 



d X dz z''^' dz dz 



X Z 1 -i~ z^ z {i -\- s") 



Z . Quia autem fumpto x :=: o fic 



■ I -h s" N^ . . . 



etiam c;~o, at vero fumpto a' ~ i prodit znzoo, hoc in- 

 tegrale a termino z zzz o vsque ad c ~ oo extendi dcbet. 



Notum autem eft valorem Ivoc modo refultantem cffe ^ 



«fin.tJ 



n 



§. 8. Progrediamur nunc ad ipfum fundamentum, vn« 

 de omnes relationcs, quas quaerimus , deriuari conuenit et 

 quod redudioni priori iunititur^ vnde fi.t 



r xf-' dx _p-hq r x^^-^^-^dx 



J " ^ * J ~^ * 



71 



vbi loco ]/ (i — x")""^ fcribamus X, vt fit 



r x^-^ d X _p-\-q r, 

 J X " ~T~ ' J 



p J X 



hine iam fimili modo, fi loco p fcribamus n -i- p ^ erit 

 ^^n-t-p-x ^ X _ n^p-\-q rx^'"^^—' d X 



J X ~ n-i-p * y X ' 



hincque fequitur fore : 



rx^-' dx _p-\-q 7i-{-p-\-q rx'-'''^^—' dje 

 J X ~~p ' n-\-p J X " 



Quodfi fimili modo vlterius progrediamur, perueniemus ad hanc 

 acquationem : 



rx^-'dx T -i- q n-^p-^q 2n -h p-h q fx^^^f-^' d x 



J X p ' u -i- p ' 2n-hp J X 



Quare fi hoc modo in infinitum progrediamur, habcbimus 



M 2 -'-' ^"- f 



