370 ON SUSPENSION BRIDGES. 



[^Hlog-(l-^i)]=T[-'-i--Iog.(l+|5|. 



L 1 + 4- -^ 



To find the integral of the other expression 

 ""* \>^^+l^+Z ' ^^ ™^3^ n^ake it 



^ ' . h 



rational by putting V (w^+ 1) zz wv + i, 

 and finding the differential in terms ofr; then 



^=-— T* ^^^^ (l^^.)2 > and v(^.Vl) + ^ 

 c 2t," c l + T + n-T-)^' 



We have therefore dy =-^ 



dw 



__o_ 2(1 + p") rfc l-e" 



"'■• (-•)• ^■:^RTr|).. 



_ a 2(1 + v^) di) 



6 



('-''')-[o-T)+o-fy] 



= T • (Tr;^/:^-^) ^ P^^^ting i + y =/, 



and I- -r =9- 



