Talk:Green's theorem

What about Stokes theorem

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.

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)

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)

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)