F. Alg. rat. fract. 



Circ. Dir. TABLE 431 suite. F.im. ol ac, 



Circ. liiv. 



7) j ArcUjA-yCos.px — dx ^ ;re-/'? {X + l{2pq}} :t eP9 Ei. {— 2 p q) \ 



// pSin.x \ X 1 , \ 



Arctang.l '—- - ] ~—^^dx = -^1(1 + pe-i) , p' <C1; \ 

 \l -\-pCos.xj x- -\- q^ 2 "^ J 



9) I ArctaJifi. [Tami. -x] r " J' = —-rl > Schlomilcli, Stud. II. K'. 



\f ' \ ' 2 jx-^ + q-^ -Z e'l ( ' 



10) Mrdan^. iCot.-A 



X , I efl 



dx = - TT i - 



2' I u-- +r/^ 2 ev— 1 



11) (Arclann. i P^["-^'^ \ '1 j^^Hin ^ „g-9M Boncompagni, Cr. 25. 7 + ; ou il y a faut. <,,U. 



J \l+pCos.rr/.«'^ +fy^ 2 ^ ^'^ ' 



F. Alg. irrat. fract, a don. binomc. 



Ciic. Dir. TABLE 432. L"»- ot x . 

 Circ. Inv. ^ 



1) I Sin. IqArctaJ ^^'"'''' ]].{l-\-2aCos.cx-\-a^)i^-;^^dx^l:x{l + ae-'P)1—-n J 

 J (_ ^ l-}-«Cos.cx/J ?'+•* -^ I 



2)/(;o,.{,A.c.,.(^^^)}.(l + 2aC.s.c.+a^0'.^l^ = ^^(l+ae-^J 

 '.ufsin. Lircto I "■''"•'" ]1 (l+^«g^.^c.+a--)i>/4-(I + 2ag<>^-<:^+a-)-^^^,^^l 



,= _;r f,! 4- a f— 'V')' — (1 + ae-''r}—i)\ Boncompagni, 

 2 "^ VCr. 25. 74 ; 



1) [sin loWcta L-J!!h^\\(^+-^-Oo-<^-^+'^'-''''-i'+^'^''^^^^^^ ftutWet'. 



/ '1 '''V + aCos.cxji r' + -r' 



^ -7i{(l + a8-V)'/+(l +a<r-v)-?— 2} 

 [^ 1 / a5m.r.r \ | (1 + 2a(7a..cx+a')i'/+(l + 2flro.'..r.r + a')-J» ' 



'ou 3,4,5 s"iii 



Z/) 



Vn"c 555. 



