I'. Ai'M-at. Inict. a den. fl' + x. Tipru^ «.)«7 i ■ i\ , 



n- IV 1 < lAM^h 21/. Lim.Ocloc. 



Lire. Dir. on dcii. iiionomc. 



12. 231. 



/' 1 xdx -rte"'! Legendi'e, Eierc. 4. I:i3. — Bdone, .Mum. Turin. IS 



i J Sin a .c >r- -fje^ ~ c-'"l I '^'■'- *'• ^'- ^^- ~ SclilOmilch, B.itr II. § 4. 



fSiri.bx dx ■n e'"l — e-<"l ., 



~' J Sill.dX q- -\- X'' ~~ iqe"'! — fi— "7 / 



^ Caucliy, Lini. Imag. .\dd. 33. — Boncompagni, Cr. 23. 71. 



fCos. bx xdx n e'"> -\- e—>>i \ 



'jSin.axq'+x'' 2e'"> — e-»')J 



fSln.kx x'Tanq.x , \ 



4) \ dx = I , 



'J Sin.x p^+lx^ I , k = X \ Sclil5milcli, Bciti-. II. I. 



fSin kx Tann.x.Sin.x \ l^'les soiit fautives: au lieu de k mettcz 2 A- -f 1; leurs 



5)/-— ; — ; :; dx = Oj valcurs soiit alors x. 



J bin.x jr -\- X- 



fCos.kx xCot.x Meyer. lat, Def. 221. 



0) \--^ ^—7 dx = ^ , k = cc ; Y,\\ii est faiitive: metlcz 2 k au lieu de A, alors h 



J '-'"••'■ 7>'+4-^- valour en est cc. 



[Cos. k X X V 



7) / (i r = \ 



'j Sni.x f- +4..r^- 



fCos.kx dx 



5) I — = 



'J Cos X -" ' -^ 



dx I , k =■- x; 



= > 



p^ + x"^ I SeldiJudlch, Bc-itr. II. 4. 



[ 1 dx 



X q"^ +x^ q cl 4- e-1/ 



Caucliy, Lim. Imag. Add. 33. — noncompa^ni, 

 Cr. 25. 1\. 



/■ 1 dx 71 1 



lOn = — Sclilomilch, Beitr. II. § 4 



'j Cos. a X x"- + q"- q e"t + e-"? 



fSln.bx X , 1 eh — e-i"i\ 

 11)/ '^■•^ = '" — ; 1 



./ Cos. a X X- + q^ i C'l + e'".' \ 



[Cos. b x dx _ n eh -\- e-J-? I 



^ '\/ Cos.'^r 'r' + 7'- ~~ ?. 7 CI -Y e-'"l 1 



r 1 ,]x n ^ [^ ' \\ l] \t'2/ jCmirliy. Snv. 



^'■Vsm.aaH-.r' ~ '^ *"*• ^ 2/ e»V^2 + ,-al 2 _ 2 Co*, (a j/ 2) > 



Pngc 299. 



38* 



