Hello. I'm new to vector calculus and I had a question about the following integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{C} x dy[/tex] please note that this is a circulation (I didn't know the tex-code for the little circle sign on the integral)

They calculated this integral (for a specific curve) with the use of a line integral of the tangential component of F (i.e. line integral of a vector field).

But I was wondering, can this be calculated with a line integral of a scalar field? For example if C is the circle with center the origin and radius 1. I suppose for being able to do it with a scalar field, you'd then have to find a parametrization so that ds = x(t) dy(t) right? Is this doable?

(The reason I ask it is not for practical use, but to understand the theory more --whythis can't be done with a scalar field, while it looks so easy)

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# Simple question about circulation integral

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