We were taught that in cylindrical coodrinates, the position vector can be expressed as
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And then we can write the line element by differentiating to get
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.
We can then use this to do a line integral with a vector field along any path. And this seems to be what is done...
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Image may be NSFW.
Clik here to view.

And then we can write the line element by differentiating to get
Image may be NSFW.
Clik here to view.

We can then use this to do a line integral with a vector field along any path. And this seems to be what is done...
Read more