F. Alg^br. rat. fract. TABLE 31 suite. Lim. 1 et oc . 



f dx 1 — » _ 

 21)1 =• pntosec.p 71 



f dx 1+P ^ 



22)1 — = p TT Cosec. p IT \ Oettinger, Cr. 38. 1C2. 



J X* (x — 1)P— 1 2 ( 



/dx (1 + pW' 1 

 ; — = :,■ , — r~r T Cosec. p n I 

 a;6+c+2(a;_i)ft+;> (1 -fp)*-'/' lc-*+M '^ J 



/xP~^ — x~P~^ n „ pn 

 (f/p __ 5gg_ — Malrasten, Cr. a8. 1. 

 i^ — x-l Zq Zq 



F. Algebr. irrat. fract. TABLE 32. Lim. 1 et oo 



f(x — l)P-i , ^ \ 



1) / dx = n Sec. p n \ 



2) I dx = TT Sec. p IT 



3) I '^ ^^— dx = -^— ^ — TT Sec. p n 



J X* 2 



f(x — ly+a+i , (1 + 2 p)«+i/2 (1 — 2 »)*/2 ' /•(« — 1 )P+*-i , 



Oettinger, 

 Cr. 38. 



— l)P+i-i 

 — — ^^ 



/"f if— !)?+<•+* (l + 2»)<'+'/2 iix — l)p-*— i 



7 .ira-i+2 ' (l+2p)*/2 1a-*+l/l ^ / .Ta-6+2 



7j(f_ ^ '' dx = - Cosec. ""^ Oettinger, Cr. 35. 13. 



' J X h h 



b b 



/•(a;* — 1) 6"^ (6^':/*(6+a)# an- an 



/•(«* — 1)~6"*^ , /, a*\ L a*\ / a*\ « 1 ^ a ttI Oettinger, 



9)/- ^T"^ ^<^ = 1— TT *— lT ••••'•■' — .ThlTT; . . T Cosec. — > Cr. 38. 



7 x2ft<H-J \ i!.»/\ by \ byiic/\a-\.bcb bf u^ 



a , 



. ,_ ' — lO"*^ , (6— aW* Jff-e-l o TT 



1 0) / — ; -7-— dx =^ i—iy '— ,- 71 Cosec. 



f (j;ft — 1)" 



'^7 x<><~9-c)- 



x<'i9-€)+\ {b~-a)9/l' V-g/i ' b 



Page 70. 



