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c= x(τ^2 ),y(τ^2 ),z(τ^2) τ ∈ [0, sqrt(T)].

Show that one obtains the same value for the line integral using either parameterization.

The line integral is just the integral for the arc legnth of the parameterized curve. I understand the concept intuitively, I just don't really know how to derive it.

(I dont know how to write out integral signs and all here but the formula can be found at this site Pauls Online Notes : Calculus III - Line Integrals - Part I)

Thanks!