Calculus 2: Polar Coordinates (32 of 38) Length of a Polar Curve Example 2

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In this video I will find the length of a polar curve (cardioid) where r=1+cos(theta). Ex. 2

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  1. Michel van Biezen
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  4. Mike
  5. Mike van Biezen
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Dear sir
I think the reason your first attempt for integration didn't work is because under the radical is not positive through all the interval of 0 to 2 pi, so it should be broken into more integrals. Am I right about my guess? However, the method you used is much better.( using the symmetry.) And last but not the least, Thank you very much for your videos.
All the best.

danialm.s
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Hi Professor, Thank you so much for your video! Could you explain why the integral turned out to be 0 when we integrated from 0 to 2pi?

jingxingzou
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using the cos^2(x) property was a brilliant idea! I wish i thought about doing that earlier

ionic
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Powerful explanation much love from Zambia

chileshesikazwe
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Wow you just made this supper easy to me... been struggling a lot 😪

glennxhose
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hello sir! why did u multiply 1/2 and then 2 to the other side? 4:49

jin