The Divergence Theorem

The video tutorial introduces the Divergence Theorem, also known as Gauss's Theorem, which provides a method for calculating the surface integral over a closed surface. The theorem equates this surface integral to a triple integral over the solid region of the divergence of a vector field. An example using a triangular prism is provided to demonstrate the application of the theorem. The video walks through the calculation process, including finding the divergence, setting integration bounds, and evaluating the integral. The tutorial concludes with a discussion on the theorem's applications, such as in Gauss's Law, and checks for comprehension.

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