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I'm looking for some information about how the line integral was discovered, since I've been looking for a long time for this.

I found that Riemann could integer discontinuity functions, then Poisson said that the definite integral could vary if the interval is real or imaginary, saying that the integral depends on the travel, which is the basis of the concept of the line integral.

So it would be helpful to find something more related to it.

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I would like it too! – Lucas Zanella Jul 24 '14 at 8:08
Wow, no answers after 3 years. Disappointing. – user124384 Dec 1 '15 at 23:18

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