# Math Help - Alternative formula for arclength

1. ## Alternative formula for arclength

If f is a continuously differentiable function, show how to establish the formula

L = (integral from a to b) (root)(1 + (f'(x))^2) dx

for the length of the curve y = f(x) between (a, f(a)) and (b, f(b)).

I don't know how to proceed, but I do know that the regular formula for arclength is L(x) = (integral from a to b) ||x'(t)||dt. Any help? Thanks!

2. The derivation of the formula is here:

Arc length - Wikipedia, the free encyclopedia