32 METHOTi!'S AEOl^ATIONES DIFFERENT. 



fe fucrinc aeqiulcs , ii coniundim rcpnicfententiir. Qiio 

 fido pro fingulis fidloribiis qmicnintur conucnicntcs inte- 

 gnilis partcs , iitque omnes ilVae partcs cx ciHnflis facflori- 

 bus oriundac , fi in vnam fummam colligantur , d.ibunt 

 \;ilorcni ipfius j quaefitum, qui erit integrale completum 

 aequationis propofitae. Sequcnti autem niodo ex fafto- 

 ribus formuliic P integralis partes repcrientur. 



I. Si formulae P factor fit % — Y 



Ponntur^ = R-4-2C/k4-3D)(:*H- + Eik*-h5Fit*+ etc 



eritque intcgnilis pars huic fadori z — k rcfpondens : 



pkX 



II. Si formulae V fa^or fit (z-k)* 

 Ponatur ^ :=: C-f- 3 Dik -+- <5 E)t'-H i o F k'-\- 1 5 Git *-+- etr. 

 eritque integraiis pars fii(ftori [z—kY refpondens : 



gkx 



TJdxfe-^^^Xdx. 



III. Si formulac P faaor fit {z-k)' 

 Panatur ^—D-^4.Ek-hio¥k'-^ioGk'-i-:iSUk*-^ etc* 

 criique integralis pars fadori {z-kY refpondens : 



^fdxfdxfe-^^Xdx. 



IV. Si formulae P faaor fit (s-fe)* 

 Ponatur ^z= E-\- 5 Yk-\- 1 5 Gfe*-i- 3 5 H)l:'-+- 70 \k*-\- ctc. 

 critque intcgralis pars fadori {z—k)* refpondens : 



gkx 



-«- fdxfdxfdxfe -*'*Xdx. 



V. Si 



