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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 NOT

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

6 Examples: Straight Plug In

7 Examples: Normal U - du Problem ? 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):
ADD ZERO -

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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