Formula:207

Digital Library of Mathematical Functions ID 1.6.E55

${\displaystyle{\displaystyle\iint_{S}\mathbf{F}\cdot\mathrm{d}\mathbf{S}=\iint_{D}\mathbf{F}\cdot(\mathbf{T}_{u}\times\mathbf{T}_{v})\mathrm{d}u\mathrm{d}v,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle S}}$: parameterized surface
• ${\displaystyle{\displaystyle D}}$: open set in the plane
 

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