MAXlMORni ET MINIMORVM. 107 



mus ^/,(eu ^.J-^c^^,ob ^pi^^T, nperte dx 

 conftans e(l a^fnmtiim. Hoc crgo obleruato , fi fingn- 

 las partes ititegralis inuenti ieorlim integremus , habe- 

 bimus : 

 Jdx.Nb^=z/N(^dx 



Jdx.?i^=J?r/(^~?oi-fo,d? 



jaX.\>_cix^ — J dx — dx ^TiT-TrJ dx 



/- . p ^yi . r R d* u B d d to d R rf Gu 01 d d R /- t .)d* R 



-/«•*"^da» — J dx^ ai» — 'd x>"~ ^ "fl X» ""J u .^» 



etc. 



Hinc itaque variatio quaefita partim ex membris intc- 

 graiibus, partim ex abfolutis conftabit , eritque : 



rj,/-M <iP,ddCLd*R, . 



/03 dx ( N - a^ 4- dT» - d-T» + ctc. ) 

 ^-w(P-3^-i-j^, -etc.)-i-j^(Q_-d-H-etc.) 



, d d u) / 1-, 



M-dT» (R-etc.) 



XXII. 



Reflituamus ^j pro u , ac formulae intcgralis 

 f2dx , exiftente dZ:=:Mdx~{-l<id y-{-?dp-+'Q^dq 



^Kdr-^Sdscic. et pzilii ^=^2; rrf^, r^-^^etc. 

 incrementum , dum in ftatum quemcunque variatum 

 transfertur , quod hoc modo $fZdx exprimere licet , 

 ita fe habebit : 



/"//v/^r/^M il.ddQ, d»R . d*S ^ . 



^//Adj^iN-j^-t-^-, -5^4-dI?-etc.) 



_!_/j4/^P ^ Q, , ddR d^ S . . 



-T- d X ( Vi- a^ -H d-pr - etc. ) 



-i- d;,. lR-d^H-ctc.)4- jj/(S-etc.) 



