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# Divergence theorem proof

5 videos
You know what the divergence theorem is, you can apply it and you conceptually understand it. This tutorial will actually prove it to you (references types of regions which are covered in the "types of regions in 3d" tutorial.

### Divergence theorem proof (part 1)

VIDEO 8:29 minutes
Setting up the proof for the divergence theorem

### Divergence theorem proof (part 2)

VIDEO 7:30 minutes
Breaking up the surface integral

### Divergence theorem proof (part 3)

VIDEO 6:21 minutes
Evaluating the surface integral

### Divergence theorem proof (part 4)

VIDEO 8:09 minutes
More evaluation of the surface integral

### Divergence theorem proof (part 5)

VIDEO 3:12 minutes
Home stretch. Proving the Type I part