154 ^^ CALCVLO INTEGRALl. 



— n — r. adeoqiie (/«zzRVK. invenire uzzifR^dK, 



In hoc exemplo aequatio canonica fit fnx^ydx — 

 nx^dj— — nMdj-{-jdM.. Hoc loco iterum dK u- 

 nico membro dy conftat , quare divido aeftimationem 

 ipfius d\i per hoc elementum dj : in quantitate vero ^K 

 zi:?nx^~'jdx — «.r^^r/y unicum membrumineft —?ix^dYf 

 cum quo hsec divifio fuccedat , prodeunte quoto— w.r"* , 

 quare per monitum i Scholii generalis , nuUa habita 



i\itione figni & coefficientis n , fcribo A.r"* pro Z, 



fietque M (rrZ-i-Nji^A.v^^-i-N , & dMzzmAx'^ "' 

 r/.r-f-^N. Quibus in asquatione canonica furrogatis, o- 



ritur mx^~'jdx — nx"^ dj—niAx^^^^jdx nAx"^ dj 



KN^'-f-j)'^N , iam vero fada A— i , & deftrudis de- 

 ftruendis, manebit tantum — «N^'-|-j)'r/Nzr.o , quare ci- 

 tra omnem fcrupulum, pono iuxta monitum ad exempl. 

 I . datum , N— <? , & ^Nzro •, eritque adeo IVt^^if"*, &« 

 :=:R^-^'M=r.r'>-"— r^ : /. 



'Exempl. 3. 

 Sit ^«r=:.r'^jr : V(aa — xx)^ invenire r/— /a: Va:: 

 V(aa — xx). 



In hoc cxemplo fit ^K=.r'^.r, R—aa — xx , &i. "kzz 



^, quare sequatio canonica pro hoc exemplo , inve- 



nietur eife x"^ dxzz: — Mxdx-\-[aa- — xx)dM. Eft iam 



iterum in dK unicum membrum 2xdx^ cum quo divi- 



do dl^d^x^^dx^ provenit ^xx. Quare neglecfta coefii- 



ciente — |,fcribo 2= Ar\r,& M(i=Z-f-N)==A.r.r-f-N, 

 &^M— ^A.r^s^x-f-^N ^ quibusin sequatione canonica fuf- 

 fedis , prodit .r ^ dxzz. — 3 A.r ' dx-\-2aaKxdx — ^xdx 

 -f- (aa — x.r^^N. Quare pofita i— — 3A , id eft A 

 " — -y , remanebit deftrudlis deftruendis , h^c altera 

 — ^aaxdx — ^xdx-^-^aa—xx) dN—o , vel -§ ^<'/.r^.r 



