F. Circ. Dir. rat. ent. composce. TABLE 80 suite. Lim. et n. 



{ . 1 7r('a7)'' f » (Ja?)-" \ 'Bessel, Abh. Ber- 



,\ \nc I o (Poisson, Conn.dcs 



^ ^ V 1 / ^ ^ Conn. 



]{\ — qCos.xY \^ ^ ') a 1"/! 1^1 ' ^^ ''^ l"/l(l+a)"l'j ) 



F. Circ. Dir. rat. fract. a den. monome. TABLE 81 . Lim. et ^r. 



) f -— = 



J Cos. X 



1)1 = V. T. 19. N^ 13. 



2)1 '■ — dx = CO Schlomilch, Int. 24. 



'jCos^x 



d X I — 2 



-r — — = (-i)M 



i ang. i x \ a 



3) /<S»!.2<i+la; ^ ^ " , = (— !)"( _") Baabe, Cr. 25. IflO. 



F.Circ.Dir. rat. fract.aden.bin6medul^''(lcgre. TABLE 82. Lim.OetTr. 



f dx 471 



1) / = V. T. 65. N^ 3 



J2 — Sin.x 3 1/3 



' / 2 + Sin. X 3 1/ 3 



da; 2 7r 



V. T. 65. N'. 4. 



3)f ^ 



•' 1 — Sin. X. i 



1 ^ 2a7r *~' 2na7r wtt 



= T Cosec. —— 2 Sin. . Cot.^ V. T. 25. N'. 14. 



6 



*)/ c- ^ /. — 7 = 2 (tt —?.) Cosec. ;i V. T. 25. N". 2 



Sin. X. Cos. X 



dx 

 -}- 5m. X. Cos. X 



Euler, Calc. Int. T. 4. S. 6. 22. — Scblomilcli, Cr. 

 33. 268. — Ban 

 ling, Gr. 21. 26. 



5) / "^-^^ — r = 2 X Cosec. I V. T. 25. N°. 3 



71 ' ^" ' 



f dx n Euler, Calc. Int. T. 4. S. 6. 22. — Scblomilcli, Cr. 



6)1 = — -^ rx'P*>5^> ^3. 268. — Eamus, Danske Afh. 6, 265. — Bjor- 



Jp-\-qCos.x \/KP^—r) ling, Gr. 21. 26. 



Page 134. 



