Oettinger, Cr. 38. 162 



X 



c+2i 



F. Alg. rat. fract. a den. x" ct (1 ± x)". TABLE 18 suite. Lim. et oo 



/x^—Pdx 1 — p . 

 — = p n Cosec. pn \ 



f xP d X 1 — p ^ 



22) I ; = p JT Cosec. p >T 



, /".iV'+l c^x 1+p 



23) / = fl TT Cosec. p TT 



24.) / = ^' — - — ^^^— p T CoSt'C. p T = / — 



7(l + a-)Hc + 2 ic-i/l ' ^ /(1-|_X)H 



f a-Pi^dar (1 _|_ p)c/i 



7(14- a;)4-<:+2 p*/l lc-6+2/l ^ ^ 



/xP—<=dx (1 — p)*/' r x'>—Pdx 

 = : p TT Cosec. u 71 = I — I 



/•^6-a-l d^ la-1/1 16-a-l/l ^ r x"-' da? \ 



^^'7 (l+.r)' ^ li-l/l = /(I +0^)6 \ 



C x°±'>-^dx \a±ib-\li lc±ft-i/i /• .rc±*-' (ix t 



M(r+.r)<' + <=±24 ^ la + c±26— 1/1 ~ j (1 +.t)« + =±2M 



29) / ( x'l-P— I dx = , ~ Legendre, Exerc. 4. lOy. 



>]\ {l+x)p) q-p-\-l Tip) 



F. Alg. rat. fract. a den. 1 ±x'' pour a special. TABLF 19. Lim. et x 



f d.v 



])/ = 'tt Elder, Calc. Int. T 1. P. 1. S. 1. 8. 353. - Poisson, P. 18. 295. N^ 2ti. 



^ f dx TT Liouville, Cr. 13. ?19. — Schlomilcli, Gr, 4. 71. — Id., Gr. 10 



"'I p'i +x'^ ~ 2p'^ ' -ilO- — tisa de Grcsy, Mem. Turin. 1821. 209. II. 58. 



3)1 ~ = |.;(_1) Poisson, P. IS. 295. N'. 26. — Plana, Cr. 17. 1. 



3') = Cauchy, Sav. Etr. 1827. 599. P. 2. § 5. — Schlomilch, Gr. 3. 278. 



f dx 



jb'^—.v' ^ 



} Oettinger, Cr. 35. 13. 



ds Legendre, Exerc. 5. 13. — Bidone, Mum. Turin. 1812. 231. Art. 2. N". 31. -- 



*)/7^ 'i =^- Plan-''- ^^i-'™- 'J^'"""- '^^S. 7 Art 1. 3, 4. — Cisa de Grc'sy, Me'm. Turin. 1821. 



2uy. II. 56. — Schlomilch, Gr. 7. 270. 



1 ,, ., Poisson, P. 18. 295. N^ 38. — Cisa de Grc'sy, M^m. Turin. 1821. 



^ = 26 "09- "• 58. 



4") = u. oil « arbitraire; Arndt. Gr. 10. 240. C'est la vraie valeur. 

 Page 52. 



