NUMERICAL INTEGRATION

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Chapter 4.6

• NUMERICAL INTEGRATION

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After you finish your HOMEWORK you should be able
to

• Approximate a definite integral using the
  Trapezoidal Rule
• Approximate a definite integral using Simpsons
  Rule
• Analyze the approximate errors in the Trapezoidal
  Rule and Simpsons Rule

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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?

1. Fermat
2. Newton
3. Pythagoras
4. Pascal

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The use of the clickers makes the class more
interesting.

1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree

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The Tablet PC is an effective lecture tool.

1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree

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The lecture worksheets help me understand the
material.

1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree

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Calculus is my favorite class!

1. Strongly Agree
2. Agree
3. Neutral
4. Disagree
5. Strongly Disagree

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The Trapezoidal Rule
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The Trapezoidal Rule

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

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Simpsons Rule

• Let f be continuous on . Simpsons Rule
  for approximating
• is given by
• As n approaches infinity, this approximation
  approaches

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