State Gauss's law in the integral form and write its equation .

Explanation

To state Gauss's law in the integral form and write its equation, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Electric Flux**:
- Electric flux (\( \Phi_E \)) through a surface is defined as the product of the electric field (\( \mathbf{E} \)) and the area vector (\( \mathbf{dS} \)) over that surface.
- Mathematically, it is expressed as:
\[
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