Calculus 3 Lesson 64: Surface Area Using Double Integrals

Mar 10, 2026

Hi there! Today I have released Lesson 64 of my Calculus 3 series. In this lesson we learn how to find surface area using double integrals!

In particular you will learn:

  1. How to approximate surface area of multivariable functions
  2. How to find the exact surface area using double integrals
  3. A connection between Calc 2 arc length and Calc 3 surface area

I hope you find this new lesson for Calculus 3 to be helpful! Next time we will take the next big step and introduce triple integrals. 

Until then,

- Josh

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