107 



formulam noftram hoc modo exprimi: 



y — - f 2 s s ds __ r 2s5^s v<2 riUAL 



•' [ys-t-yiiH-i^lj |/(r_(_x4) •' (I— i4) [■/(I+X4)] ■ J i_s4' 



Cum igitur iftud integrale duabus conftet partibus, id hoc 

 modo repraefentemus : V — 2 /2 . M — 2 N, ita vt fit 



J (I — s4) 1/(1 4-54) Ji j4' 



ybi pcfterior pars nullam habet difficultatem. Cum enim fit 

 _li_. — i . _L_ — i . _L_ , erit 



N=:J[i^^ — lAtang.^, 



J. 14. Pro priore vero parte, quae exigit maiorem 

 fagacitatem, ponamus ^'^'"^ znt /2, eritque dilferentiando 



— B^i/-s*^ = a t /2 , vnde fit 



s 5 y (I -^- s4) ' ' 



3 ^ — ssdtV2V{i-hs* ) 



I S4 * 



quo valore fubftituto erit 



a M = — ^-i-^^ . 



(I S4)2 



Cum iam fit •/ (i -f- ^'^) zr: ^ t /2 , erit i-f-,y*z=2^^f:tet 

 denuo quadrando i -h 2 ^^ H- ^^ iz: ^s^^f^, hinc aufferatur 

 ytrinqae 4 s'^ fietque 



quo valore fubftituto erit 



a M zz: -^^ ■ z= ^ , 



ideoque tota pars prior 2 )/2 . M :=: j^Tt?* 



5. 15. Cum nunc fit 



I — 

 erit ifta pars 



I I ' I I I I' 



I — 14 2 • I — tt ^ 2 • r+TT* 



O a 2 /a. 



