We classify all surface integrals over a special vector field, including a case when the divergence theorem doesn't apply. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile: https://www.researchgate.net/profile/Michael_Penn5 Google Scholar profile: https://scholar.google.com/citations?user=W5wkSxcAAAAJ&hl=en