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The Fundamental Theorem of Calculus

Home Calculus The Fundamental Theorem of Calculus Topics Integrating the Velocity Function Total Distance Travelled vs. Change in Position

Intro Topics Examples Exercises Terms Best of the Web Quizzes Handouts

Topics
Integrating the Velocity Function
Negative Velocity
Change in Position
Total Distance Travelled vs. Change in Position
About the Fundamental Theorem of Calculus (FTC)
Using the FTC to Evaluate Integrals
Integrating with Letters
Order of Limits of Integration
Why the Choice of Antiderivative Doesn't Matter
Average Values
Units
Word Problems
The Second Fundamental Theorem of Calculus
Letters
Antiderivatives
Finding Derivatives
In the Real World
I Like Abstract Stuff; Why Should I Care?
How to Solve a Math Problem

Table of Contents

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Total Distance Travelled vs. Change in Position

There's a difference between how far someone travels, and the change between their starting and ending positions. Take a basketball player running suicide drills. He travels to one line and back to his starting point, then to a farther line and...

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