$\displaystyle \int_{C} f dx + g dy + h dz$

Thank you!

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- Jan 5th 2011, 07:32 PMSoHokQ[Solved] Prove Line Integral
$\displaystyle \int_{C} f dx + g dy + h dz$

Thank you! - Jan 5th 2011, 08:22 PMFernandoRevilla
We have:

$\displaystyle \displaystyle\int_{C} f dx + g dy + h dz=\displaystyle\int_{C} \nabla F(\;\vec{r}\;)\cdot d\;\vec{r}\;,\quad (\;\vec{r}=(x.y,z)\;)$

Now, apply the Gradient theorem

Fernando Revilla - Jan 6th 2011, 02:31 PMHallsofIvy
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