eli5 what are line integrals?

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I know a lot about them, formulae and all, but, I wanted to know if what I am thinking is right or not.

So integral of some function f(x) would give us the area under the curve of that function. We can use regular integral in this case

Line integral is basically like normal integral but for 2 dimensional curves and it too gives us the area under that curve (height of that curve at x *dx integrated). Am I right so far?

Also, previously I imagined that for line integral the functions would be like f(x,y), what f there is a function which has more than two variables? Would line integral hold good for them too or is line integral just for two variable functions.

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Anonymous 0 Comments

Line integrals give a sum of some quantity through a vector field along a certain path. Let’s say you have an EM field and you wanna know how much work it takes to move a test particle in a given through that force field, I guess you could say is a good intuition.

That’s probably the most common use I can think of in physics really.

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