ii6 



praecipue in cxploranda integralium intcr se relatione, luce 

 claiius probatuii sint. 



§. 2. Piiusquam autem ipsam tractationem adoriamur, 

 mclhodum, qiia omnia nituntur, breviter exponere, eanique 

 ad idem exempluiiij cujus jain mentionem fccimus, adpli- 

 care convenict. 



Hune in fmcm siimamiis seriem -rj^—^- — ^^ , -ttt — ^^> 



V{bx — X-) ' \ {bx — X-)' 



V{bl — x^) ejnsque termrnam gencialem 7(j~^,T) 



ponamus r:z9Q., et teiminum antccedentem ^ ^^_^^.zz-dP, 

 hisce notatis , habebimus : 



x^~' dx=:}/ {hx — x')dV , et 



X™ ~ ' >/ (6 X — X-) dx z=: [bx — x~) dVy vel 



x^~Wibx — x') dx = hdP — da. 

 Cuodsi nunc pioductum *,__,>' (6 x — x^) :3i R staluatur, 

 erit dK =: x'^-'W [bx — X') dx -h ^' iw^bx'-l^) ^^> ^'^^ 

 aR — x"-V6x — x^)axzr- '^-^->--^^-. Addilis igi- 

 tur in aequatione x™ '' / (6r — x^) f)x zn b dP — 3Q., 

 utiimque terminis ^r^j^Tj — ^""T* prodibit: 



aR=:^ (=^£T_-)ap_£Ail, hinc integrando: 

 R — ^ AAp 5_Q, et 



(=--Z')p_(„î_ i)R 



Q.=z 6 : , scilicet 



m 



/x'^dx h r^ t^.rx'^—^dx jm- i y (^bx — jc'} 



