IV. Euolutio cafus quo w = 2 et « r= 3. 



§. 42. Hoc igitur cafu erit X zr - — l vnde theo- 



l-ema generale praebet iftam aequationem : 



X f - 'dxlx _ .v^-' dx xf-'ixx-i)d x 



. x^-'dx{i-^-x) 



vbi forma poftrema transmutatur inhanc ; -y ^^^^— j_— ; 



vnde fiet 



xP-'dx Ix __ _ xP-' dx rX^dxjjj;^ 



y(i-Ar') y(i-Ar^) ^ 



vnde fequentia excmpla expediamus. 



Exemplum I. quo p — x. 



§, 43. Hoc ergo cafu membrum po(l:rcmum erit 

 f^xjjj^^j cuius inteerale in has partes diftnbuatur : 





X -+- JC X 



vnde manifefto pro cafu '.v=zi prodit ^ ( / 3 -1- j^J ; quam- 

 obrem noftra aequatio erit 



/ziIZL=--^(^3 4-,-^)/-- 



d X 



In hac autem formula intcgrali, ob m — 2. et ?/ :r= 3, quia 

 fumfimus /)= I, erit p — n — m ; pro hoc ergo cafu per 

 §, 15. valor iftius formulae abfohite exprimi poterit, erit- 

 que / ^ — — ^Yl » confequenter etiam hoc cafu ptr 



V( 1— x^ 



quantitates abfolutas confequimur hanc formam : 



d xl X r'ofcx — o-] -n / j - _> n ) 



V(«— *') 



§. 44. Quodfl hanc formam cnm poftrema cafus 

 praecedcntis, quae itidem abfolute prodiit exprelfa, combi- 



nemus , 



