y{a-\-bx) — z ct riibftinitn valore hinc nato dx-'J-^i 

 erit dj—'-^-~, vnde integrando fit 



j-^\zzzz^,V{a^b xy -H C, 



Excinplum 2. 



§. 8. Si fucrit 



y (tf 4- ^ ^) - s fiet rt'^' = '-^* , hinc intcgrando 

 yz=±z = iV{a-^bx)^C. 



Excmplum 5. 



$. 9. Si fiicrit c/y — d X V {a -\- b x) — s dXyfaC' 

 ta fubflitutionc fit /^ y — '_5l_15, hinc integrando 



^ = rV -* = .^ {a-^bx)V{a-\-b x) -\- C. 



Problcma 2* 



§. 10. Si fuerit X jutic/io raiionalis binarum quan' 



■ n 



tiiaium X r; s, e.xijlente s zi: V (a -|- b x}, Jormulam diffc- 

 rentiakm \d \ ab irralionaliiate libcrare. 



Solutio. 



n 



Ponatur V [a-\-b x)i:z, vt fit sz.z^ crit a-^-bxzzz^^ 



js" — n n "^ — ' d z 



hinc x — 1— ct dx^~ -\ quibus valoribus 



b b 



lubfU- 



