Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Fundamental Theorem of Calculus Section 5.4
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 2 What you’ll learn about Fundamental Theorem, Part 1 Graphing the Function Fundamental Theorem, Part 2 Area Connection Analyzing Antiderivatives Graphically … and why The Fundamental Theorem of Calculus is a Triumph of Mathematical Discovery and the key to solving many problems.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 3 The Fundamental Theorem of Calculus
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 4 The Fundamental Theorem of Calculus
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 5 Example Applying the Fundamental Theorem
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 6 Example The Fundamental Theorem with the Chain Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 7 Example Variable Lower Limits of Integration
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 8 The Fundamental Theorem of Calculus, Part 2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 5- 9 The Fundamental Theorem of Calculus, Part 2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Evaluating an Integral
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide How to Find Total Area Analytically
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide How to Find Total Area Numerically
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Page 286 (1-29 odd) ========================= Page 287 (35-45 odd) Slide 5- 13