3260 



Definite Integrals (simple) 



3260 



yf*dqi$ "*. Binet, J. P. M. C. R. 12 



a (1841) 958-. 

 I" cost (u-x sin u)du. Liouville, J. Liouv. 



J. Mth. 6 (1841) 36. 

 rlL'Ljg, Bonnet, 0. Liouv. J. Mth. 6 



(1841) 238-. 



1 + *" 



/ e~& x . x m ~ l dx f" cos fix . 

 B l+X* ' J ll 



/~ sin j3a; . .r*"" 1 da; 

 Svanberg,A. F. Liouv. J. Mth. 11 (1846) 197-. 



Jo x*-a* and Jo a^-a 2 ' 

 ^rwdt, F. Grunert Arch. 10 (1847) 247-. 



(V Sil M,r./(4, Fresnel's approxima- I] (f^ ~ lS) **' * W devel P ments ' 

 /.. cos ,<- , ' ., T > ^rwdt. F. Grunert Arch. 10 (1847) 253-. 



tion mehod. U. Camb. Mth. J. 2 (1841) 

 81-. 



Arndt, F. Grunert Arch. 10 (1847) 253-. 

 da;, value. Newman, F. W. Camb. 



/a and Dubl. Mth. J. 2 (1847) 75-. 



J^lo g ( S in0)d0. Ellis,R.L. Camb.Mth.J. J arctan/(a;)( /(x) being unique function of x . 



f 2 ( 1841 )^ 282 -- Raabe, J. L. Ziir. Mt. 1 (Heft 1) (1847) 61-. 



Stockh. Ak. f' > a - ldz DiengeTj j, N. A. Mth. 7 

 / o 1 + z n + z m 

 (1848) 201-. 



Hndl. (1841) 65-. 



I (sin ax, cos bx) , reduction. Raabe, 



J 

 1 



/:' 



J. L. Crelle J. 23 (1842) 105- ; 25 (1843) 

 160-. 



. Bertrand, J. Liouv. J. Mth. 



/:- 



Besge, V. 



Liouv. J. Mth. 14 



and 



(1843) 110-. 



f m (l-pcostx)<f>( 

 Jo T^ 



2j COS tX +P 2 



psintxf(x)dx 



(1849) 31-. 



I log (1 - 2r cos x + r 2 ) cos nx dx. Haan, D. 

 * Bierens de. Grunert Arch. 13 (1849) 193-. 

 /* , *****".. .,. Schl&milch,0. Grunert 



r 2 + 2rx cos u + x* 

 Arch. 12 (1849) 198-. 



-i 1 a- 2 1 



f-Jtf- 



Jo fa- 



Malmsten, C. J. Ups. N. Acta S. Sc. 12 

 (1844) 155-. 



A logjl^) ^ Serret,J.A. Liouv. J. Mth. 

 9 (1844) 436. 



R. 



Camb. Mth. J. 4 (1845) 143-. 

 _ r*log(l-a)^ Schdffer, . Crelle J. 

 30 (1846) 277-. 



/.v 



, value 



imaginary 



A cos <t> B sin <f> ' 



values of A and B. Jacobi, C. G. J. Crelle 

 J. 32 (1846) 8-. 



1 - k ' 2 sin2 ^ 

 J. Mth. 11 (1846) 471-. 



Smaasen, W. Amst. Ts. Wis. Nt. Wet. 2 

 (1849) 251-. 



I 27r f(re'i >i )e~ n 'l' i d<f>. Dienger, J. Grunert 

 Arch. 15 (1850) 119-. 

 r smx dx ^ Lindmarit Cf Ff Grunert Arch. 



17 (1851) 455-. 



/arc tan/ (a;), /(a:) being unique function of x. 

 Boofte, J. L. Crelle J. 41 (1851) 54-. 



/o(^)^'(l-|- 2 "- ^^^'^ Crelle 

 J. 42 (1852) 283-. 



/ -dx. Lindman, C. F. Grunert Arch. 



21 (1853)113-. 



e'^sinaxda; 



Schlomilch, 0. Crelle J. 33 



/"GO g-gx g j n a , 



Jo TTiT 



(1846) 325-. 



Schlomilch, 0. Grunert 



Arch. 7 (1846) 38-. 



/ cos 6a; , 

 -s rda; and 

 o "- 2 -" 2 



/<xsmbx , . . 



s 5- da;. Schlomilch, 

 o * 2 -a 2 



[Popov], ^. T. 



Mosc. S. Nt. Bll. 27 (1854) (Pte. 2) 206- ; 

 (xn) Kazan Un. Mm. (1855) (Bk. 1) 57-. 



I "^ dip. Lebesgue, V. A. Liouv. J. Mth. 

 1 (1856) 377-. 



G. F. 



O. Grunert Arch. 7 (1846) 270-. 



Grunert Arch. 27 (1856) 1-. 



281 



