Hello, I am a bit confused as how line integrals can exist in 2D. For 2D, we...

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Hello, I am a bit confused as how line integrals can exist in2D.

For 2D, we are dealing with two variables: x and y.

For 3D, we are dealing with three variables: x,y and z=f(x,y),such that f(x,y) = x+y. Since line integrals use the x and ycomponents as inputs and f(x,y) = z as the output, should not lineintegrals exist in 3D always?

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Recall what you mean by and integral over a real line It tellsyou the area the function encases between it and the real lineNow what would line integral in 2D mean It just means    See Answer
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