# Gauss Divergence Theorem

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**Gauss Divergence Theorem:**

**Statement**: If V is the volume bounded by a surface S and is continuously differentiable vector function then.

Where n^ is the positive unit vector outward drawn normal to S.

**Example:** Using the divergence theorem, evaluate and S is the surface of the solid cut off by the plane x y z = a from the first octant.

**Solution**: Now

Hence, By divergence theorem, we have