fore 



l^s^^'-^''.. — fzd X cof.;x=: l^ cof. X H- % fm, x^ 



Ex quo perrpicuum eft, fi noftra! aequatio in 9xcof. as du- 

 catur et integretur, prodire hanc aequationera : 



i^ cof. X -i- z lin. X — /'x''""^ d x cof. x„ 



huius enim differentiatio» manifefto* adl aequationem prdjxx- 

 fitam deducit,. 



, J. 9. Eodem; modo cum' fit: 



/3a^//n.x — ■ a^ ^j^ X — /a Z COf.'.!?,. 

 dx d x: J 



tumi vero /5 z cof. x ==: 2; cof. x-h/z 3 x fin. x,. hinc colligitur 

 •^^112 fin. x:-l- Az 3 X fin. x— |^ fin..x — % cof. x : 



dx -t a X ' 



ita- vt aequatia noftra in^ ^xfih.X' dti6la' et integrata fiat 

 l^ fih. X' — z.cof. X ^r/x"^—^ ^x fin.x,, 



huius enim differentiatio; itidems adi aequationem; propofitam 

 perducit,- 



J." 10.. Qlianquam^ autem. hae^ aeqiiatibnes tantum 

 iiht differentiales- primi' gradtis, tamen, quoniam duas fumus 

 affecutij, ex earum' combinatione,. fine vlteribri integratione, 

 valorem ipfius z ehcere^ potisriinus.. Si: enim- a priore ae- 

 quatione per fih. x multiplicata,. fubtrahamus pofteriorem in 

 cof. X duQ;am^. ftatihii colligitur fore- 



z =: fin; x/x!'""^'^ x cof.'x — eof. x/x"~^ 5 x fin. x, 



ficque^ «' per binas; fbrmulas ihtegrales determinatlir, , in qui- 

 bus; binae- conftantes arbitrariae^ per: ihtegrationes ingreffae 

 contiheri funt cenfendae;; vnde fi^ ambo integralia ita acci- 

 piamus,, vt: euanefcant: pofito x — o,, iutegrale completum ita 



