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5014-Integration Inverse Trig

5014-Integration Inverse Trig. AP Calculus. Remember Patterns:. 1. x. y. x. y. 1. x. y. 1. Remember Derivaties:. Generalize:. Looks like arcsin pattern except NOT 1 -. MEMORIZE !. a is a constant. u = f (x). Examples:. Straight Plug In. Examples:.

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5014-Integration Inverse Trig

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  1. 5014-Integration Inverse Trig AP Calculus

  2. Remember Patterns: 1 x y x y 1 x y 1

  3. Remember Derivaties:

  4. Generalize: Looks like arcsin pattern except NOT1 -

  5. MEMORIZE ! ais a constant. u = f (x)

  6. Examples: Straight Plug In

  7. Examples: Normal U - duProblem ? Inverse Trig. (also has a U-du component)

  8. Arctan vs. Ln Always check ln first!

  9. Example (introduce a variable factor): U - du ???? arcsec ???? REM:NEVER CROSS the with a variable ! ! !

  10. Example (introduce a variable factor): arcsec ???? U - du

  11. Examples (Complete the square):

  12. Examples (Complete the square): Negative lead

  13. Examples (Complete the square): Non-one lead

  14. Examples (THINK): ADD ZERO

  15. Last Update: • 02/06/06 • Assignment: Worksheet Larson 5.8

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