Calculus 3 Lesson 79: The Fundamental Theorem of Line Integrals & Independence of Path

Jun 30, 2026

Hi there! Today I have released Lesson 79 of my Calculus 3 series. In this lesson you will learn about The Fundamental Theorem of Line Integrals!

In particular you will learn about:

  1. Independence of Path for conservative vector fields
  2. How to use The Fundamental Theorem of Line Integrals (FTOLI)
  3. How to choose alternative paths for line integrals of conservative vector fields

I hope you enjoy this new lesson for Calculus 3! Next week there will be no new lesson, but the following week we'll take a look at Green's Theorem for line integrals.

Until then,

- Josh

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