i6o DE CJLCVLO INTTGEAll 



dcoque z-(=zMR^"^')=:-2R ^ 5;- ^— -^y (^j-3 _/^, 



Exe?nplum 6. 



Sit r/rcr(sV2-i-2^^5;-8sV;2):(s^H-i;+- 5^;'-i-Ss-4), 

 id eft =(2;V5:-H:sVs-82;V/2;):(2-i)^(,2H-2)-. lam 

 cum in denominatorefint duo flidores (z—if d<{z-\-2f ^ 

 adhibendum eft Theorema fecundum, in quo iam ^K 

 znz^ dz-\-z^dz-^z^ dz , R— s-i , & S— s-f-2 , item 

 > — —3 & jUL— — 2 , itaque nunc fiet sequatio canonica ^K 

 — -2MS^-MR^S-|-RSr/M,id eft, z^^dz-^-z^dz-Sz^dz 

 zz-('^zdz-{-'^dz)M.-\-{zz-{-z—2)dM.. Quare faciendo 

 M.—Az^-hBz'^ -\-Czz , 6c dMmj^z^ dz-h^^Bzzdz-^- 

 zCzdz j & fubftitutis hifcc in aequatione canonica , fiet 

 2^ dz-\-z'^dz-Sz'^ dz—Az\dz-\- AsVz -(8 A-\-C)z^ dz 

 -[^B-^-Cyzdz—^^Czdz. 



Comparationes terminorum homologorum prasbent 

 Azni , Bzro, & C=io, quare habebimus Mzzs;''". Adeo- 

 que f<-MR^-^'S'^-^'J— (2-i)-^(2-i-2)-' 2+=z:2+:5;^-3S 

 -^-2, 



Exemplum y. 



Sit ^«—(3^^ dx—q^xdx-^-gq"^ xxdx—qqx"^ dx—6qx^dx). 

 3 

 {qq—xx)^^(q'^^qqx-'qxx-~x'^). Iam,quia 



'V[q'^-\-qqx—qxx—x'^)iz[q-\-x)^, [q—xy ; fiet 



duzil 3 ^'' dx—q'^xdx-\-(^q'^ xxdx—qqx^ dx—6qx^dx): 



<; 4- 



( ^-H^r)^ . [q—x)^ . Quare nunc habemus dKzn 3^^ dx 



—q'^xdx-\-^q'^ xxdx— &c. Rzizq-{-x, S~q—x, Xm — ^ 



^A.zz— ^ , & «quationem canonicam ^Kzz--|MS^ 



1 



