F. Alg. rat. fract. a d6n. a fact. nion6me et bin6me. TABLE 22. Lim. et oo . 



[ dx 



I —— — 7 — = JT Cosec. pn, 1 > JO > ; Kamus, Cr. 24. 257. — Oettinger, Cr. 35. 13. 

 J{l + ii)xP 



/dx (1+pK* 

 = — ^ — . P7T Cosec. pn Oettinger, Cr. 38. 162. 

 (l + x)e-H»ar*+;' lc-b+2/l pb/l ^ ^ ^ 



I ^— i-^ = Z' (p + q)—Z' (q) Lindraann, Stockh. Handl. 1850. U. 



/aj>— 1 -|- w—P 

 die = n Cosec.p n ,p <^t; Dedekind, Cr. 45. 370. 

 l + a; 



fx9-i — x—P . € 1 



I — dx = n Sin. I (q-\-p) n>. Cosec.qn. Cosec.pn Svanberg, Transf. § 5. 



/xp—aP—la^ dx 1 "> » "> 

 = TT OP- • (Cot. qn— Cot. pit), -^ ^ -^ ; Minding, Taf. II. 

 X x—a 1 >■ 7 >■ 



[xP — x—P It pn 



I — dx — — - Tang.'— , l>p>0 ; Schlorailch. Gr. 3. 278. 



f dx 1+P 



|— — — — — = — - — p n Cosec. pn Oettinger, Cr. 38. 162. * 



f x^ dx n „ bn 



I == -Cosec Euler, Calc. Int. 4. S. 5. 155. 



J 1+^" X a a 



fxbc+b—i dx , > T „ ai 



I / — = {r-Vf - Cosec. - 



J 1— «* x^ ^ ' b b 



f ^ ^j-l)P (6-a)c/6 ^ a4 o^^j^g^^^ Cr. 88. 



y«<»+(Hi)ff+i (1 -j-a;*)<:-^+i a-\-bc{b—a)9ll>lo-9nb<'-9+i ' b( 162. 



/dx >''/-. **" 



a^+(6+i)c+ 1(1+^6) = (-^^' 6 Cosec — 



/x—P dx n pn 

 = Tang.^— Cauchy, Sav. Etr. 1827. 599. P. 2. § 5. 

 x<l—x-^ X 2j 2j 



(XP 4- af~P dx n pn 



I ' = - Sec. — V. T. 40. N'. 29. 



J x<l -\- x—^ X q 2 q 



faP — x-Pdx »r „ PT ■„ 



I = — Tang.^-— Malmsten, Cr. 38. 1, ou faut. — . 



J x9 — x-9 X g 2q 2 g 



/ \~u—r, rt ofldx = ^ ^^' ^^ ^ Legendre, Exerc. 4. 109. 



JXx" (l+x)"] q-p + l T{p) 



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