Calculus 3 Lesson 57: Approximating Volume Under a Surface

Jan 20, 2026

Hi there! Today I have released my first new video of 2026, the 57th Lesson of my Calculus 3 series! In this lesson we begin the 4th unit on Multiple Integration by learning about approximating volume under a surface.

In particular you will learn:

  1. The connection between volume approximation and double integrals
  2. How to approximate volume under a surface over a rectangular region
  3. How to approximate volume under a surface over a non-rectangular region

I hope you enjoy this new lesson for Calculus 3.

Until next time,

- Josh

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