100 



Mr. W. H. L. Russell on 



[Jan. 22. 



January 22, 1880. 



THE PRESIDENT in the Chair. 



The Presents received were laid on the table, and thanks ordered 

 for them. 



The following Papers were read : — 



I. " On certain Definite Integrals." No. 6. By W. H. L. 

 Russell. F.R.S. Received November 15, 1879. 



Continuing the methods of the last paper, we obtain the following 

 results : — 



(101 



f+l gU+bx+cx^+ex 3 



where A , A l3 A 2 are the coefficients of expansion of 



6- 



Similarly we may find 



(103.) —± 

 Jol— 2c 



a cos 6 + a- 



=^L _(l+l+_J__ . _L+_1_+1+ . . . A 

 l-* 3 l 2 2 1 2 .2 2 2* 1« . 2* . S 8 2 6 - / 



Wl2 12.2 2 3 ia.28.3 2 5 J 



l-* 2 ll.2 23 12.2.3 2 4 19.2«.3.4 / 



+ • 



2tt f fi 1 « 1 a a ,v . I 



Wi e2 +2^ (62 - 1)+ T^2^ (e2 -2- 1)+ • • • } 



