# The Fundamental Theorem of Calculus

# The Fundamental Theorem of Calculus Table of Contents

The Fundamental Theorem of Calculus

Topics

The Fundamental Theorem of Calculus Examples

The Fundamental Theorem of Calculus Exercises

Integrating the Velocity Function

Integrating the Velocity Function Help

Integrating the Velocity Function Examples

Integrating the Velocity Function Exercises

Negative Velocity

Negative Velocity Help

Negative Velocity Examples

Negative Velocity Exercises

Change in Position

Change in Position Help

Change in Position Examples

Change in Position Exercises

Total Distance Travelled vs. Change in Position

Total Distance Travelled vs. Change in Position Help

About the Fundamental Theorem of Calculus (FTC)

About the Fundamental Theorem of Calculus (FTC) Help

About the Fundamental Theorem of Calculus (FTC) Exercises

Using the FTC to Evaluate Integrals

Using the FTC to Evaluate Integrals Help

Using the FTC to Evaluate Integrals Examples

Using the FTC to Evaluate Integrals Exercises

Integrating with Letters

Integrating with Letters Help

Integrating with Letters Examples

Integrating with Letters Exercises

Order of Limits of Integration

Order of Limits of Integration Help

Order of Limits of Integration Examples

Order of Limits of Integration Exercises

Why the Choice of Antiderivative Doesn't Matter

Why the Choice of Antiderivative Doesn't Matter Help

Why the Choice of Antiderivative Doesn't Matter Exercises

Average Values

Average Values Help

Average Values Examples

Average Values Exercises

Units

Units Help

Topics

The Fundamental Theorem of Calculus Examples

The Fundamental Theorem of Calculus Exercises

Integrating the Velocity Function

Integrating the Velocity Function Help

Integrating the Velocity Function Examples

Integrating the Velocity Function Exercises

Negative Velocity

Negative Velocity Help

Negative Velocity Examples

Negative Velocity Exercises

Change in Position

Change in Position Help

Change in Position Examples

Change in Position Exercises

Total Distance Travelled vs. Change in Position

Total Distance Travelled vs. Change in Position Help

About the Fundamental Theorem of Calculus (FTC)

About the Fundamental Theorem of Calculus (FTC) Help

About the Fundamental Theorem of Calculus (FTC) Exercises

Using the FTC to Evaluate Integrals

Using the FTC to Evaluate Integrals Help

Using the FTC to Evaluate Integrals Examples

Using the FTC to Evaluate Integrals Exercises

Integrating with Letters

Integrating with Letters Help

Integrating with Letters Examples

Integrating with Letters Exercises

Order of Limits of Integration

Order of Limits of Integration Help

Order of Limits of Integration Examples

Order of Limits of Integration Exercises

Why the Choice of Antiderivative Doesn't Matter

Why the Choice of Antiderivative Doesn't Matter Help

Why the Choice of Antiderivative Doesn't Matter Exercises

Average Values

Average Values Help

Average Values Examples

Average Values Exercises

Units

Units Help

Units Examples

Units Exercises

Word Problems

Word Problems Help

Word Problems Examples

Word Problems Exercises

The Second Fundamental Theorem of Calculus

The Second Fundamental Theorem of Calculus Help

The Second Fundamental Theorem of Calculus Examples

The Second Fundamental Theorem of Calculus Exercises

Letters

Letters Help

Antiderivatives

Antiderivatives Help

Antiderivatives Examples

Antiderivatives Exercises

Finding Derivatives

Finding Derivatives Help

Finding Derivatives Examples

Finding Derivatives Exercises

In the Real World

In the Real World Help

I Like Abstract Stuff; Why Should I Care?

I Like Abstract Stuff; Why Should I Care? Help

How to Solve a Math Problem

How to Solve a Math Problem Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Position Primed Quiz

Position Primed Quiz Flashcards

Position Primed Quiz True or False

FTC (Yeah, You Know Me) Quiz

FTC (Yeah, You Know Me) Quiz Flashcards

FTC (Yeah, You Know Me) Quiz True or False

Did Isaac Newton Enjoy Figs? Quiz

Did Isaac Newton Enjoy Figs? Quiz Flashcards

Did Isaac Newton Enjoy Figs? Quiz True or False

Handouts

Units Exercises

Word Problems

Word Problems Help

Word Problems Examples

Word Problems Exercises

The Second Fundamental Theorem of Calculus

The Second Fundamental Theorem of Calculus Help

The Second Fundamental Theorem of Calculus Examples

The Second Fundamental Theorem of Calculus Exercises

Letters

Letters Help

Antiderivatives

Antiderivatives Help

Antiderivatives Examples

Antiderivatives Exercises

Finding Derivatives

Finding Derivatives Help

Finding Derivatives Examples

Finding Derivatives Exercises

In the Real World

In the Real World Help

I Like Abstract Stuff; Why Should I Care?

I Like Abstract Stuff; Why Should I Care? Help

How to Solve a Math Problem

How to Solve a Math Problem Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Position Primed Quiz

Position Primed Quiz Flashcards

Position Primed Quiz True or False

FTC (Yeah, You Know Me) Quiz

FTC (Yeah, You Know Me) Quiz Flashcards

FTC (Yeah, You Know Me) Quiz True or False

Did Isaac Newton Enjoy Figs? Quiz

Did Isaac Newton Enjoy Figs? Quiz Flashcards

Did Isaac Newton Enjoy Figs? Quiz True or False

Handouts