F. Alg. rat. fract. a den. binomc. .^^^^lE 2G5. Lim. ct oc. 



tire. Inv. de x. 



10 

 11 

 12 

 13 

 14 

 15 



/dx I 



Arctana.x = - tt* Schlomilch, Gr. 4, 316. 

 " 1 J_ .ri S 



l+«» 



X 



3M^ 



t * X 



\ Arctana.x dx = x V. T. 181. N". 2. 



f X 1 



I Arctana.x dx = — tt* V. T. 268. N'. 1. 



; ^ i + «* 16 



lArctang.px- dx ^ V^^^ ' V. T. 265. N 



; ^ ^ x' —q' 8}^ P'?' + 1 



c dx If,, ■^y 



\ Arctana.x = — \lqA- — \ V. T. 24. N"" 



/ 

 / 

 / 



lArccot.x - 

 J 1 



f , a; 1 



lArccot.x dx = -nl2 Caucliy, Lim. Imag. Add. N\ 31. 



J 1 + x"^ 2 



/x 1 

 Arccot.x- -dx = nli V. T. 265. N". 13. 

 l—x^ i 





X '6 



Arctana.x- dx = —n V. T. 21. N\ 4. 



^ (l + x-^y 64 



x^ 1 



Arctana.x- —7 dx == — n V. T. 21. N\ 6. 



, J? , 7t 1 4- Sin. X 



Arctana.x r— dx = 1 — ' V. T. 181. N^ 15. 



^ (1 +«»)»— 5m.* 2 A 4-Sm.2X fo5. A 



da; 1 



- tt' v. T. 265. N^ 1, 



+ ;k^ 8 



Arccot. — dx = -^ nl 



^ Cauchy, Lilt). Imag. Add. N". 26, 30. 



' + q' 



I 



f . X X In 



I Arccot. ;; dx = -nl- 



J px^ — q^ 4 



/ 



f Arccot. f -^^ do. = 1 . Z (P + 7)'(P-+^-) I 

 J pa;*— J* 8 9* 



/ 



px'~q* Bq^ {p-\-qy 



' V. T. 265. N". 12, 13. 



^ 1 1 +P 



Arcaot.px dx = -nl — -^ V. T. 266. N'. 3. 



1 +a'2 2 » 



Page 359. 



