ii6 



praecipue in exploranda integralium inter se relatione, luce 

 clarius probatuii sint, 



§. 2. Piiusquam autem ipsam tractationem adoriamar, 

 methodunij qna omnia nituntur, breviter exponere, eamque 

 ad idem exemplum, cujus jain mentionem fecimus, adpli- 

 caie conveniet. 



Hune in fmem sumamus scriem 



v^^r^ — x^) ejusquc terminum generalem yj-f^^=^) 



ponaraus rz^Q., et teiminum>antecedentem :^%^^^^^.zzidP, 

 hisce notatis , habebimus : 



x™~ ' dxzz:/ {bx — X') dV , et 



x^~ ' )/ (6x — x'^) ôx r= (6 X — x-)dV, -vel ' 



x"'~V(&x — x^) ax = 6dP — ao. 



duodsi nunc productum ^_^-y (6x — x^) :rz R statuai ur, . 



erit 9R =: x" ~ V (6x — x^) ax -V ^^^ ( -J-^-_) dx, vel 



DR =: x"^- ^ V^ b X ~ x^) ax r= ~^'^^^ - ^. . Additis igi- ^ 



tïir in aequatione x" * / (6x — x^) ax ::=: 6aP — aQ.,J 



utximque terminis -tj^^ztT) — ;^r=^' prodibit: 



ÔR — * (=:^') 5P „ JUL^S. hinc integrando: 



2 V m ■ — 1 Z 771 I 



(-!Lr^) p _ (j,î _ i) R 



Q.=z b =^ ^ scilicet 



m 



/x'^dx h {^^ i\rx^—^dx jTO. — i -,/ ç ^x — X^^ 



