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Chapter 4.6 NUMERICAL INTEGRATION. After you finish your HOMEWORK you should be able to… Approximate a definite integral using the Trapezoidal Rule Approximate.

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Presentation on theme: "Chapter 4.6 NUMERICAL INTEGRATION. After you finish your HOMEWORK you should be able to… Approximate a definite integral using the Trapezoidal Rule Approximate."— Presentation transcript:

1 Chapter 4.6 NUMERICAL INTEGRATION

2 After you finish your HOMEWORK you should be able to… Approximate a definite integral using the Trapezoidal Rule Approximate a definite integral using Simpson’s Rule Analyze the approximate errors in the Trapezoidal Rule and Simpson’s Rule

3 I lived from 1642-1715. I developed Calculus. I called Calculus “Fluents and Fluxions”. I discovered the law of gravity. I generalized the Binomial Theorem. Who am I? A.Fermat B.Newton C.Pythagoras D.Pascal

4 The use of the clickers makes the class more interesting. A.Strongly Agree B.Agree C.Neutral D.Disagree E.Strongly Disagree

5 The Tablet PC is an effective lecture tool. A.Strongly Agree B.Agree C.Neutral D.Disagree E.Strongly Disagree

6 The lecture worksheets help me understand the material. A.Strongly Agree B.Agree C.Neutral D.Disagree E.Strongly Disagree

7 Calculus is my favorite class! A.Strongly Agree B.Agree C.Neutral D.Disagree E.Strongly Disagree

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9 The Trapezoidal Rule

10 Let f be continuous on. The Trapezoidal Rule for approximating is given by As n approaches infinity, this approximation approaches

11 Simpson’s Rule Let f be continuous on. Simpson’s Rule for approximating is given by As n approaches infinity, this approximation approaches

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