F.AIg.iiTat.ent.afact.(l— A-)"ot(l— a;')". TABLE 0. Lim. Oet 



[ , ''— « n bn 



})p«-'-l(l— x)'o dx=^-Cosec.-— Eulcr, N. A. P. I. 2. p. 3. 



a a 



/l\~i-^nWi fl 2»V''- n- 9cc nil i ^' 



/• (1— 2h)V2 2a-i-i7r /" 

 3) / X— a+/'+i(l_.r)«-/)-i dx = — = Ix^-P-i ll—x)-" + P+idv 



4>)\dx^{\—x'^) = \TT Eulcr, Calc. Int. I. P. 1. S. 1. 8. 340. — Plana, Cr. 17. 1. 



5)j{l-x^)''-idx = — ^ - ,^^^, Laplace, Prob. I. 34. 



6)/x2<'-lJxi/(l— J-^) = — 



Oettinger, 

 Ci-.3S.16?. 



20-1/2 ] 





2 



Oettinger, Cr. 35. 13. 



f la/2 1 ft/2 n 



8) /./•2'»(1— .r2)ft-i dx = ,^ 2^r+6+T ^"^^'■' ^"''= ^"'' ^- ^- I-S-l-S- 340.— Oettinger, Cr. .">5. 13. 



10/2 lA/2 n 



9) = — — - Kramp. Ilefr. 3. 79. 



' 20/2 (2 + 2a)*. 2 2 ^■ 



f 3«'/2 3«-i/2 n 



10)/;r2a^i_xi)4+i Jx = - Oettinger, Cr. 35. 13. 



f 2«-l|2 lft/2 



1 1) / .t^a- 1 (1— a>*)ft-i da; = _,,^^^ Euler, Gale. Int. I. P. 1. S. 1. 8. 340. — Oettinger, Cr. 35. 13. 



2«— 1/2 ift/a 



l3)Ll— I(l-.r')l+l4. = „^, j"y„ Otttineer, Cr. 35. 13. 



{l+(«— 3)/^+/'" _ ' — (a— •^)/^+;>' l Kanius, Overs. Danskc 

 { (1 +/))■'-<» (i _p)a-3 Jl'orh. 1S44. 



Page 39. 



