3260 



Definite Integrals (simple) 



m Liouv .j. 

 Mth. 1 (1856) 421-. 



; e ~- 8 ^^. Haan,*. Bierens 

 de. Amst. Arch. Wisk. Gn. 1 (1856-59) 177-, 



<* 



(1869-70) 83. 



3260 



Hennite, C. A. Mt. 3 

 ft., C. Bll. So. 



Mth. As. 1 (1870) 320-. 



= 1 /( x + - ) 

 / A '. W 





/ cinSii 

 du. Enneper,A. QJ. Mth. 1 (1857) . 



o m Liouv. J. Mth. 15 (1870) 7- 



276 . /*oo QQQ fo 



J 



/ cospxdx p sinpxdx 



Jo "W 'Jo V a + *. Mth. 1 (1872) 35. 







arc tangx . Liouville, J. 



* 

 1870) 7-. 



, J.W.L. [1871] Mess. 



. 



tion and applications. Haan, D. Bierens de. 

 Amst. Vh. 5 (1857) 117 pp. 



/ /, 



J sin (x re ) dx and I cos (x n ) dx. Glaisher, 



f 1 tn+Kl -t\> i ~^dt J 



^ ' . Liouville, J. Liouv. J. J. W. L. [1871] Mess. Mth. 1 (1872) 106-. 



Jo (a + bt-ctY +l f*x-idx 



Mth. 2 (1857) 47-. I . Walton, W. [1871] QJ. Mth. 12 



Mth. 2 (1857) 49-. 



Liouv. J. 



> 



Mth 2(1857)279 



Ac. Sc. Bll. 15 (1857) 307-. 

 [*>sinx<", 

 Jo ^^~ d ' r - Mndt ^' ^- ^ A - Grunert 



Arch. 30 (1858) 171-. 



/ e M2re ~'e-d2 for calculation of series 



/-i^-i-3-w 



I n^Tw^^- Wr " ora - W ' 

 Mth. /2 ?1873) 184-. 

 fc 

 / ^ ( x> a ) ^ x> n * n differentiation. Walton, W. 



QJ. Mth. 12 (1873)215-. 

 H W*>- Lyetnlkov [Letnikow], 







D) + etc - 



[^72] QJ. 



A. V. [1872-73] (xn) Eec. Mth. (Moscou) 

 7 (1874-75) (Pt. 1) 5-; (x) Bll. Sc. Mth. As' 

 7 (!874) 233-. 



I sinx 2 da;and/ cosx z dx. Glaisher, J. W. L. 

 [1872-75] QJ. Mth. 13 (1875) 343-. 



Schlomikh, 0. Schlomilch Z. 4 (1859) 433-. 



i 



(b) 



/" / 



cos(x 2 )da; and / sin (x 2 ) da;. 

 J Jo 



QJ. Mth. 12 (1873) 118-. 



Cayley, A. 

 . Worpitzky,(Dr). 



nert Arch. 35 (1860) 70-. 

 = sin^x 



Schlomilch Z. 



f 

 | 

 J 



) logxdx between real and positive limits, 



G. Mt. 12 (1874) 1-. 



5 (1860) 286-. 



^'log 1 ]^' Wol f erg ' J -P- Grunert Arch. pfp** 1 Glaisher, J. W. L. Mess. Mth. 



37 (1861) 245-. ^ 8 (1876) 168-. 



/""I COS 7 * 1 X 



I -a dx. Stefan, J. Schlomilch Z. 7 f2 xF(x)dx 

 J 



f2 

 J o 



g niometrical 



function. Bierens de Haan, D. Amst. Ak. 

 C08+&ixcosiaxcospxdx. Lindman,C.F. Vs. M. 12 (1878) 325-; Arch. Neerl. 13 



[1864] Stockh. Ofv. 21 (1865) 373-. 



'^dx. Besso,n. G.Mt. 7 (1869)210-. . 



x At. 14 (1878) 91-. 



. -. 



Jo ~T+? * Liouville < J ' Liouv. J. Mth. ( l (u) n du, infinite value. Schroder, E. Z.Mth. 



14(1869)298-. 7 



Jsinx^dx, |cosx n dx, etc., between limits. 

 ' 



Ps. 25 (1880) 106-. 



f ^ ^ ~$ ( bx ) dx, expansion for. Elliott, 

 Oettinger.'L. Arch. Mth. Ps. 49 (1869) 51-. * . B. Ikless. Mth. 10 (1881) 118-. 



282 



