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Line Integral of a Vector Field

Original post is here eklausmeier.goip.de/blog/2013/09-16-line-integral-of-a-vector-field.


Inspired by a discussion with my son regarding movement of a point-charge between two other charges I revisited the definition of the line integral. Wikipedia offers an excellent visualization of the definition of the line integral for a vector field. See animated graphic below:

Line integral

This is something a book barely can do.

BTW, still today, I find multivariate calculus interesting, see On Differential Forms.