(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

My textbook [Engineering Mathematics, Stroud, 6th Edition, page932] runs through the derivation of the integral formula for arc length. I got confused at one of the steps:

[partial](ds/dx)=sqrt(1+([partial](dy/dx))^2)

if [partial]dx tends to 0,

ds/dx=sqrt(1+log(dy/dx)^2)

s=int_{a}^{b}(sqrt(1+(dy/dx)^2))

Where does the log come from and where does it go?

2. Relevant equations

N/A

3. The attempt at a solution

N/A

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# Derivation of Integral Arc Length Formula

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