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I'm currently studying Electromagnetism, and we keep coming across this symbol:

[itex]\oint[/itex]

A closed line integral, something I have never really been able to understand.

If a normal integral works like this:

http://imageshack.us/a/img109/3732/standardintegral.png [Broken]

where f(x) is the "height" of the function, and dx is an infinitesimally small "width", then the area equals

f(x1)*d(x1) + f(x2)*d(x2) + f(x3)*d(x3) + f(x4)*d(x4) ...

dx= x2-x1 and dx is infinitesimally small.

So, can someone please explain closed line integrals in a similar way?

In an attempt to answer this myself I created this picture, but it didn't help. Can someone please say what I did wrong?

http://imageshack.us/a/img825/4049/loopintegral.png [Broken]

Thank you for reading

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# Help understanding closed line integrals

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