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4012 u-du : Integrating Composite Functions

4012 u-du : Integrating Composite Functions. AP Calculus. Trig Functions. a u. Formal Change of Variables << the Extra “x”>>. Review: Antiderivatives. Solve for x in terms of u ILL: Let then and becomes.

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4012 u-du : Integrating Composite Functions

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  1. 4012 u-du:Integrating Composite Functions AP Calculus

  2. Trig Functions

  3. au

  4. Formal Change of Variables << the Extra “x”>> Review: Antiderivatives Solve for x in terms of u ILL: Let then and becomes

  5. Formal Change of Variables << the Extra “x”>> Rewrite in terms of u - du

  6. Formal Change of Variables << the Extra “x”>> Rewrite in terms of u - du

  7. Formal Change of Variables << Changing the Boundaries>> NEW : Definite Integrals Rewrite in terms of u - du

  8. Change of Boundaries

  9. Formal Change of Variables << Changing the Boundaries>> NEW : Definite Integrals Rewrite in terms of u - du

  10. EX: Change of Variables ln

  11. Formal Change of Variables << Changing the Boundaries>> Solve for x in terms of u

  12. Complete Change of Variables << Changing du >> At times it is required to even change the du as the u is changed above. We will solve this later in the course.

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