- #1

SamitC

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## Homework Statement

Need to visualize what it means by Line Integral along curve C

**with respect to x or y axis.**

For example suppose the curve is C (I did not find a way to write the C under the integration sign here)

∫ f(x,y) ds is like a fence along C whose height varies as per f(x,y). The line integral with respect to delta arc length ds is the area of the fence within two points on the Curve.

Then what does ∫ f(x,y) dx or ∫ f(x,y) dy or ∫ f(x,y) dx+∫ f(x,y) dy mean ? The curve (and fence) are still the same.

(i have not used the parametrized form here since omitting that will not change the question - i think)

If possible can somebody share a pictorial representation with explanation or share a link with the same/

## Homework Equations

Does ∫ f(x,y) dx means how much of the fence can be seen from the other side of the x-axis perpendicularly?

If that is so, what is its relevance?

## The Attempt at a Solution

Not Applicable

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