Talk:Green's theorem

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Physics Mid‑importance

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Stokes

What about Stokes theorem

Alternative Notation

The alternative notation given doesn't indicate the integral is calculated using the positive orientation of C. It just tells the integral is calculated over a closed curve. To indicate positive orientation, an arrow pointing in the counter-clockwise direction is usually drawn in the circle over the integral symbol.

Notation for counter-clockwise integral symbol

I changed the integral code to use the {{intorient | symbol = ointctr template. But I don't know if there's a specific template for the double-integral, so I can't embed the double integral notation for the right side of the equation (as is shown on the template documentation example). So it's shown on two lines - is there a way to get this on a single line? Jimw338 (talk) 07:17, 12 June 2017 (UTC)[reply]

Type I vs Type II

I don't know what these are and I don't know why there's no links about them. I would expect a hyperlink to another wikipage 132.204.27.207 (talk) 18:27, 13 July 2023 (UTC)[reply]

Proof fails when g1(x) is not constant

If you use parametric equations: x = x, y = g1(x), a ≤ x ≤ b then you should be getting a factor of sqrt(1+(g1'(x))^2) when you evaluate the line integral, because the line integral depends on the magnitude of the tangent vector of the parameterization (see https://en.wikipedia.org/wiki/Line_integral). So, this proof is not correct, though it would still be correct for rectangular regions since then g1(x) is constant and we have a paremeterization by arclength. — Preceding unsigned comment added by 142.244.195.252 (talk) 19:42, 13 December 2024 (UTC)[reply]