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Izan bitez D \subset \mathb{R}^2 eremu itxi bornatu bat mugatzen duen C ...

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Izan bitez  D \subset \mathb{R}^2 D \subset \mathb{R}^2 eremu itxi bornatu bat mugatzen duen  C C kurba itxia, eta  \overrightarrow{V} = (\mathbb{X}(x,y),\mathbb{Y}(x,y)) \overrightarrow{V} = (\mathbb{X}(x,y),\mathbb{Y}(x,y)) bektore eremu jarraitua  \forall (x,y)\in D \forall (x,y)\in D . Orduan, beteko da:

 

 \oint_{C}{\overrightarrow{V}d\overrightarrow{r}} =0 \oint_{C}{\overrightarrow{V}d\overrightarrow{r}} =0

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