In a line integral with respect to arc length, we have something like f(x, y)ds "inside" the integral sign.(adsbygoogle = window.adsbygoogle || []).push({});

The ds tells us that we are working with the arc length function s, taking diferences (s_K+1 - s_k) in the sums that tend to the line integral.

Question: do we shall understand that x = x(s), y = y(s), or x and y are functions of another parameter? In this last case, this means that we work with two different parameters in the sums that tend to the integral?

Thanks for your help.

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# Line integral with respect to arc length

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