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

My book says if you write a plane curve in polar coordinates by p = p(?), a<=?<=b then the arc length is ??(p^2+(p')^2)d? (the integral is from a to b). It doesn't tell me how they got this equation though and I can't figure it out myself. what does the equation p(?) mean exactly? I mean I know that polar coordinates are x = rcos? and y = rsin? but what is the single equation p? Also, I understand the arc length function a a parametrized curve but how did they get the new arclength function above? Thanks

2. Relevant equations

arc length = ??((x?)^2+(y?)^2)dt from a to b

3. The attempt at a solution

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# Homework Help: Arc length

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