^^'^^^' TABLE 189. Lim.divcrscs|jct ^. 



■'o- 



r^ «a-l 



]\l dx = X V. T. 149. N^ 15. 



e-9 

 I 



P Ix dx 1 



2) I ; = -e— 1 V. T. 112. N°. 5. 



V (1— Z^)' :» 2 



4) / = 00 V. T. 112. N". 4. 



J x"^ Ix 



5) r\'p^-.] '" dx _ n ^ p,/r— {l-t/(l-r)j(g + t/(g^-/>^)} 

 /_! l-»-^M/(l— :c^) l/<]-'')pi/r+{l—i/(l-r)} {2 + 1/(2^— p^)} 



+1 



-=znvosec.K ^ l- 



Lobat- 



']__ \l-~xjl—x'^Sin^Xi/{l—x''f" ~ 'l-{-2gTang.^X-\-hTang^{X 



^ (2n+l \ , ^ 11 2n+l \ f /2n+l \) Uchewsky, 



, o^g == Cos. 71 -|- Cos. -71 + — JT {/]2Sm. ' — n]\, /Mem.Kasan. 



\ « / V^* 2a ; I V a j\ 1835. 1. 



^. /2n+l \ „ /I 2ra + l \ f ^. /3n + l \)I 

 ^ == 1 + 2/Sm. ^5 — TT 4-2&n. l-7r + — -I— 7r]i/J2>Szn. ^^ M 



/■+\/l— a;«\ a; , ^^^-'If^ /I ^n+l \ f ^ /2n+l \), 



r* / »A da; , P + <? 



8)j '(i+^)rv- = ^'^^'^^' 



^' j ? + •* * 9 1 



" ]> Cauchy, Lim. Imag. Add. N". 27. 



— » 



/■« da; 1 1 4- » 



10)1 Z(l + a;)— = -Z(l+p) — i— ^-^ Schlomilch, Gr. 4. 71. 

 J x"^ p p 



P 



11)1 i(p-aj)^^!/(3*-^') =^2^p-^ -^ + ^ 



_^/(p2_52) ipq—.'/(p-i—q'^)]^ Plana, M^nu 



-*- Turin. 1820. 



389. 



-9 

 Page 261. 



