F. Alg. iriat. fract. a autre den. 



Circ. Dir. TABLE 45o suite. Lim. ct oe. 



Circ. Inv. 



, rCoa.lp Arctang.x) „ ( .r1 a;" 



I'J) / — rf-, f'~^Co$. \{q + 1) Arctang.-} ,., , ,, dx = 



\ 



- (-■)'•:: rrr„-7-;-TT „ . ■,.,a- -^(-') 



"0 



Sclilo- 



Ji r(p4-9) r° SI,, ,N„/'»\ ?"'"' /l+'-\"/ mild., 



2 r (/>) r-<7 + 1) (1 + r)p+'' ^ M"i (p + '/ - 1)"/-' \ »• / ^/vf ^• 



35J 

 13) ne 



J p«.{H«*j;...) X ^,^ _ " r (;> + g) ^ (a + n - 1)^"-' / 1 +rY'l ,;;,'^„^ 



7 {l-\-x^)iP (r»-l-*»)''+l r(p)r(a+l)(2r)<»+i(14-r);'+<»^2''/2(;,-(-a — l)"/-i\ r jl pour 



\ a— 0. 



C Cosjp Arctg.s) dx it T {p -{■ a) « (a + n ) 2 »/-l /l+r\" 



7 (1 + **)*" (rHa;*)''+* "" r (p) r (a+r)(Jlr}<'+i (l +r)p+« 2»/2(p~+a— l)".-! \ r~ 



X 



Sin. \p Arctanq.x + (q + 1) Arctang. 



V y -rv/T / y ^^ ^_. ^^ == ^- '^'- *^^- ^'- ^^' '''• 



J -, V. T. 433. N . 10, 13. 



a a; = ' 



com- 

 pagni.Cr. 

 25. 74. 



Cos. \p Arctang. x -\- 'q -\- I) Arctang. — I j 



17ll-_] TL ^ 



'j (1 + «»)*/' (r» + a;*)i(?+') "* * " "" *""' q"« P^""" « = '• 



/* . f , / q Sin. ax \] a; dx 11/,. . "' 



18) j S,n. IpArctg. /, -^, "IX^ n .o r ^nTi;= o'^-q'^^^ +''"'""'' i^onc. 



J I \l+qCos.axj)r^-^a;^ (l-\-2 qCos.ax+q^)iP 2 2 / ,,„j^j 



> 25 1 



J I '^\]+qCos.ax)\ r*-\.x^ {i-{-ZqCos.ax + q^)iP 2 ^^^ ^ | 



^Cos. (p Arctanq. x)i dx 

 ^''■'' - ~(i\x^)ip It == ^'^p^ '"■'"^'' ^^- ''■ '''• 



F. Alg. 

 Circ. Dir. TABLE 434. Lim. diverses. 



Circ. Inv. 



/* Cos. (p Arctanq. qx) dx n 



1)1 r^^-P-^—l _ Cauchy, C. R. 11. 1008. 



7 l+x» (l + j»a;»)iy' (l+</)P 



— 00 



^)j\w.iang (i Tan,..] ^-£^</.. = ^L {/(I +,) + ,/ ^-t?j V. T. 264. N'. 13. 

 Page 558. 



