342 Rev. G. Phillips on the Summation of Series. 



Now, r / -J- = -4 + -^+ ,4 + &c. 



Jy.Jy.\—y 1.2 2.3 3.4 



1 ^2^3 



"Jy. yJyJy \-y 1.2^2.3^3.4^ 



+ |f + -|J- + |!- + &c.) 



Jy-y^y- yJyJy-'^-'y i-2 ^ 2.3 ^ 3.4 



And, generally.^; i-^^, ]- ... ^^/^/^^^ 



= ^2+£3 + 34 + ^— (4+1^ + 4 + *'^-) 



And if the integrals be taken from^' = to^ = 1, 

 we have 772" "^ ITs" "^ ¥74" "^ ^^' 



\ 2- 3- 4- ' 



