Integrals with a circle in the middle of them

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SUMMARY

The integral symbol with a circle in the middle, denoted as \oint_s, represents a closed contour integral. This notation is crucial in the context of Gauss's Law, which states that the integral of the dot product of the electric field vector E and the differential area vector dA over a closed surface is equal to the total electric flux through that surface. Understanding this notation is essential for applying Gauss's Law in electromagnetism.

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  • Knowledge of differential area elements
  • Basic concepts of closed contours in integrals
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What is the symbol of an integral with a circle in the middle called? I am asking because Gauss's Law is defined to be equal to that integral of the dot product of E and dA.
 
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PainDoc said:
What is the symbol of an integral with a circle in the middle called? I am asking because Gauss's Law is defined to be equal to that integral of the dot product of E and dA.
The symbol

\oint_s \ldots d\mathbold{x}

is often used to indicate that the contour over which the integral is being taken is closed.
 

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