F. A!,Lf. rat. out. 



Expon.c-^'. TABLE 588 suile. Lim. oi -y. 



Ciic. Dir. 



Lcgeiidrc, Excrc. 3. 49. 



II le-^ Cos.ax.x^ dx = — — ^^-l)''— i 



; 8 16 ^ („-f-l)n+I/I^ 



/■ 2 ^ 12 — liia- +a^ , ., ( 



J 82 '^ ] 



[ iz 1 « 1 /^/\2« 



.13) / e-P ^ Cos. q j: xdx = - — -S" (— 1)" , , ,, , - Ortiinger, Cr. 3S. 2 1(1. 

 } Zp' (n+1)"/' \pj 



J 2 c^/-» "^ Liouvillc. L. 3. 811. 



024 ^ ^ 12n-rl/l " 5'J9. P. 1. § 2. 



r - 1 (i'-' T I, 



16) /c— ^' Cw.a.r.aS'-Jrr = - u/rr -.fy''-Jc-!')(apreslacliflercntiationmettezy=ia = .) lj g,. 



dy>> 



^'^ 026 + 1 '^ ' '^7/ ^ 12«'l P. 1. j 2- 



f , 1 , f « 62"/-l /1\2"^ \ Cnucliv. 



IS) /e-^-.Sin.2aj:.;c'W^=^— l)J(*-i)-c-«'a''u/7r|l+I^(— 1;" , t impair: .p. 28. 147. 



J 2 [ 1"' \2a/ j [p. III. _ 



f 1 f cc tW-i /1\2''| (M., Excrc. 



19) |(-^Vo«.2a,r.x''ii.r = (~ljii-e-<'V-'i/7r l+^fi — 1)" TT" ^ ( ,6pair; V***- !>• 



./ ' W i 1'"' \2ai J /57. 



ZO)je-''Tan<j.ax.xdx =ai^7T ^ {—ly-hie-'"")' V. T. -139. N'. 7. 

 2 1) / e-^" Col a.i: xdx = — al^ n ^ n e-i""? V. T. 439. X ■. C. 



2l)\e-^' roi(;c.aj:..r(iar -=— al/n- J'(2 7i — l)e-(2«-i)V V. T. 4^9. X. 8. 



f 2 I 1 \ 1/ ^ </" ' 



23) /c--^ &n. 2w.c + -a7r .x«+' rf.i- = .pe-P' Dicnger, Cr. 40. ll'J. 



7 \ ' ^ 2 / 2"+' J 11" ' 



f >■> I I \ l-lV' - " , / '' \ ("+1)"' SclilOmilcIi 



■2-l)jc-^-Co..{2px+lb.j..''dr =^ y^ ''-" ^'-f(-l)";>*-^"(2„)'-V-' KsT 



25) I c~'= (({ Sin. a x -\- 2 X Cos. as) dx = 1 



-' } Lcgciidrc, Excrc. 3. 49 



2fi)|e-J^' (-tx^ + a' — 2)S»i.axJjr = a 



268. 



I'agc JOI. fli 



JVIS- EN NATLIHK. VEr.Il. DEK KO.MSKL. AliAliElllF., UEEL IV, 



