F. Alg. rat. fract. a den. trinome. TABLE 25, Lim. et oo . 



/dx in 

 = Dienger. Gr. 10. 107. 



f dx n — X -■>X'*>0- Schlomilch, Gr. 10. 424. — Ohm, Ausw. 3, la 



']l — %xCot.X-\-x'^ ~" Sm.i ' 2 ' t'°"ve fautivement egale a - X: SinA. 



8\ I ^^^ = , - >/l>0: Schlomilch, Gr. 10. 424. 



']\+ixCo8.X^x* Sin.X'Z^ -^ 



4) /"_£!!Ziif_ ^ -liL 5i„, /^-^^ JT I . Coaec. » tt , <p <2; Dienger, Gr. 10. 1 07. 

 'yi+ar + x* 1/3 \ 3 / 



f x Pdx TT Sin.pX p*<l, Legendre, Exerc. 4. 102. — Schlomilch, 



^']l + 2xC03.X + x^ ~ Sin.pn Sin.X ' ^»<7r>; Gr- 12- 198. 



/XPdx n Sin.pX p' < 1, Plana, M^m. Brux. T. 10. — Le- 

 — ;; ;; = — — — — — — . ,, ^ , gendre, Exerc. 4. 102. trouve fau- 

 l + ZqxCos.X-\-q^ x^ qP+^Stn.pn Sm.X A <Tr ; tivement 7P au lieu de 9P+1. 



f \ -U ax It I ^\ \ 



r J^^ / b\ /, M 



9\ / f b\ = n Cosec.pn.Sin. p Ardg. - . Cosec. Arctg. - 



''7 1 4. a;»+ 2 ax Cos. (ylrdflf.-l I «/ \ «/ 



I" x^-Pdx ni (g — feO]-P - (a + bi)^-P 



^^^ j bi\^ {x + a)* ^ bSin.pn 2 



Sin. HI— p) Arctg. -i 



li\ = 5= > Plana, M^m. Brux. 1837. 



^ '^ Sin.pnSin. [Arctg.-^ 



[ z^-Pdx ___ TT 5m.{(l— p)^} I 



,3 J ?^^f = i^i^ ?*?^, p»<l.^»<^»; Schlomilch, Gr. 12. 198. 



'] q^-\-2qxCot.X-\-x^ Sin.pn Sin.X 



r if = 2 Sin. —- — . Cot. ~ 



'] 1 — 2 X Co». ^ + «» 2 6 Sin. -- 



dx 1 *:;:,• „. Znarr ^ htt 



.2 5tn. — z .Cot.~ Schlomilch, Gr. 10. 424. 



h 

 Page 60. 



