F. Alg. rat. fract. a den. a;" et (1 ± a;)". TABLE 18 suite. Lini.Octo) . 



Cxi' — 1 dx n 



6) / = — ; e(7'-i)?', < p < 1 , 7- < TT 2 ; Minding, Tuf. 11. 



J X -^ el' SilL. p rr 



fxP — ' dx n 



7) / • — = — Cosec. 2^ TT , p < 1 ; Dedekind, Cr. 45. 370. 



j qX-\-\ qP 



r^p—X fij; Cauchy, Sav. Etr. 1827. 599. P. 2. § 5. — Id., Lira. Imag. 



8) / ^ = rr Co<. p .T , < p < 1 ; Add. 13. — Grunert, Gr. 2. 266. — Scliliimilch, Gr. 3. 



, J 1— 'i^' 278. — Meijer, Int. Def. 155 a faut. .{ tz Cot. p n. 



f(x—a]r-^dx ( — 1);' n , a > /^ 



9) I == ± \ , ± selon que ; Jiireensen, Cr. 23. 142. 



'j b-x {b—ay-PSin.pn * a<i '' 



1 (1) / y^J-J dx== — — ~ — Ur,p,n),p^r; Schaeffer, Cr. 37. 1 27. 



J 1—? r + x r {p) 



/".«'—' dx n hn 



11)/ = -Cosec. — Euler, Calc. Int. T. I-. S. 5. 12t. 



7(l+;r)« a a 



/■.r7--l_d^ _ r (<?) r ip—q) Legendrc, Exerc. 4. 99. — Poissou, P. 19. 404. N». 72.— 



~7(1 +a-)P " r (p) ' '' *^^'' Cauchy, P. 28. 147. I. N^ 2. 



(xP—^dx r(»)r(q) 



13) I - = — Lobatscbewsky, Mom. Kasan. 1835. 1. — Grunert, Gr. 2. 266. 



7 (14- ,,)/' + 7 T{p-\-q) 



11) == B (»,<?)= / Binet, P. 27. 123. — Scliaar, Mem. Coiir. Briix. T.22. 



15) = (— I Lejeune-Dirichlet, Cr. 13. 258. 



C'cst rintdgralc Euk'ricnne dc premiere espcce. 

 f r'l — ' -J- XP — ' 



16)/" ^^^^ dx = 2B{q,p) Binet, P. 27. 123. 



^[xi'-Ulx (— 1)«(;)— iK-' . __, \ 



17)1 = Trt/'-a— ' \ 



7(6 + j-)"+' 1°' Sin.pn j 



7(l-|.a,)-i+i ifl/i Sin.p'JT i 



f x'-'^Pdx (— 1)"t p* .p = — P .p5— 2^...p''-a2 ; 



'"7(7+i)2a+l "" 5f„.p^ ' IST+I/I 7 



'20)1 - = A" - Cnucliv. P. 28. 147. I. v^ 2. 



7(l_|-a;)«+;.+ l " \pl 



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