The Mean Value Theorem features in ALL integration: single, double, triple and line integrals.
In this video, I explain to you why the methods you use across all integrals work as a result of the Mean Value Theorem. Whether function is single variable or multi-variable, it must be SMOOTH. For single variable, a tangent line determines smoothness. For three dimensions, a tangent plane determines smoothness. For four dimensions, what do you think determines the smoothness of a hypervolume function? Write in the comment section what geometric object determines smoothness for 4 dimensions.
There are no axioms or postulates in sound mathematics:
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Mainstream math academics (mathematics and statistics lecturers) are incorrigibly stupid morons who don't know shit about mathematics:
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