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Lecture 16

Lecture 16. Calculating Antiderivatives. Tables of Derivatives and Antiderivatives. Basic Derivatives. With Chain Rule. As Table of Integrals. Basic Integrals. General Rules. =. =. =. =. =. =. =. so. =. Integrating by Substitution. n = 5. =. =. =. Additional Example.

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Lecture 16

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  1. Lecture 16 Calculating Antiderivatives

  2. Tables of Derivatives and Antiderivatives Basic Derivatives With Chain Rule As Table of Integrals

  3. Basic Integrals General Rules

  4. = =

  5. =

  6. = = = =

  7. so =

  8. Integrating by Substitution n = 5 = = =

  9. Additional Example If so then Looks like it might be of form = =

  10. Calculating by substitution • Match (at least partially) to a form that is known • Guess “u” • Calculate du • Replace all occurrences of x and dx by u and du • Only adjustments with constants are permitted • Doesn’t always work

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