

^ '^ ^fop 



8 i 



y (a^ -^ ^ p. a h X X -h <S a h h x'^ -h ^ W x^) '# 

 et differentiando 



d X ( a^ -i- ^ a a h X X -h 5 ah h X* -i- h^ x^) ^ 

 r 5t = ^^ jy fiue 



(a^ -4- 4 a a 6 X X H- (J a b b X* -4- 4 b^ x^)8 ■^^-'^ 



dx(a-^h xxy . j 



(a^ -»- 4 a a b X X -4- 6 a 6 b x^ -h 4 b^ x^)8 :*; 



9 

 a t (a^ -+- 4 a a b X X H- 6 a b b x^ -H 4 b^ x*)8 



axizi: — i — ^ 



(a-t-oxx)^ 



quo valore fubftituto fit 



d-KT ^ t {a3 -\- '^ a a b X X -i~ 6 ah h X* -4--4&3x<J ■?* 9 ^ 



Tiue.aVz= ,„,^\^:,, . Eftvero 



vnde fit (a -I- b X x)^ = ^' -+- b^ x^ quo fubftituto prodit de- 

 nique d V zn ■■ ^\ ^i quae igitur fornia iam eft rationalis. 



§.30. Quin etiam haec formula adhuc generalior 

 ope fimilium fubftitutionem ad rationalitatem perduci ideo- 

 que integrari poteft: 



__ f X^~' dx 



V / —————— m 



^ (a -f- b x'') [(a -+- b x)^ — b^ x^"]^ 

 quod ita oftenditur. Ponatur (a-j- b'^)^ — b^x'^'^ zz /% vt 

 habeatur 



r) T X'^ 



avzr 



X (an-bx'')^™ 



-' Pona- 



