F. Alg. rat. Iract. a den. {a±bx^Y. TABLE 4 suite. Lim. et f 



, At2p-2 d.v r (.-Zp—l) r (1— ;j) 



10)/ = Legendre, Exerc. 4. 117- 



f iE«— • dx 



'^^) / 7- == -^ Oettin, 



7 (l—xl-Y 



prer, Cr. 35. 13. 



21)/ . \dx = - .1 -^ 



J \dp^» x-pj 



d-" l—p\ 

 dp^"' p 



ff d-i"-^ 1 \ 



Cauchy, P. I'J. oil. 

 00 



f.rP -\- or . , . /. y 



;:5)/ ^ —xQ-^dx = - -^:^- -— SS Euler, N. A. Petr. 3. 3. 



7 (1 -^a;9^^ «2 '^'^ -? 





el — e q 



F.Alg. rat. fract. aden. (a±6a;'^)<'.r«. TABLES. Lim. Oeti. 



ficP-i +ar-P 



1)1 dx = n Cosec.pn Legendre, Exerc. 4. 90 



j 1+^ 



[xV — x^—P dx 



2)1 — ; — = 7r Col. p-TT Legendre, Exerc. 4. 54. 



J I -\- X X 



f.r-l'—l 



3)/- dx = _A-Z'(l-p) 



J i — a; 



fx-l'—x-t 



^J/— dx = Z'(l— (j) — Z'(l— /)) p<l; Legendre, Exerc. 5. 3. 



/ 1 — X 



/x-P —xP 1 



— :; dx = - — 7r Cot. p n 

 1 — X p 



fxP—^ — x-P 



6) I dx = 7T Col.pjT Legendre, Exerc. 4. 98. — Scrret, L. S. 1. 



f/l—x\P dx 



7) 1 1 ~ — j = Tt Cosec. p TT, p<^l ; Oettinger, Cr. 35. 13. 



, Ar? —xP dx 

 [{xP—x-P} (x-l—x-l) ^ Sin. ipjT. Sin. 'an 



7 — TT^' — ''^ - '" co.:p,+ Coll '"<'■■«'' '■ '■ "• "■■ ''' 



I ^j p" +-7;? '■"+■' -' '■/.. = ,, <'■"•! P»C...i,. 



J l + .r» Cos.pn+Cos.qn^^ ' 



Legendre. Exerc. 4. 50. —Id., ib. 5. 3. - Stern, Cr. 21. 377. — 

 SciilOrailcii, Beitr, IIL 'J. 



V. T. 38. N^ 14. 

 Page 33. 5 



WIS- KN NATll'RK. VKIlll. DKIl KOMMil. VKAhEJirE HEEL IV. 



