A bridge support is modeled by f(x)=ln(x)f(x) = \ln(x)f(x)=ln(x) on [1,e][1, e][1,e]. The arc length is:
∫1e1+1/x2dx\int_1^e \sqrt{1 + 1/x^2} dx∫1e1+1/x2dx
∫1e1+x2dx\int_1^e \sqrt{1 + x^2} dx∫1e1+x2dx
∫1e(1+1/x)dx\int_1^e (1 + 1/x) dx∫1e(1+1/x)dx
e−1e - 1e−1