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5014-Integration Inverse Trig
AP Calculus
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Remember Patterns: 1 x y x y 1 x y 1
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Remember Derivaties:
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Generalize: Looks like arcsin pattern except NOT
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MEMORIZE ! a is a constant. u = f (x)
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Examples: Straight Plug In
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Examples: Normal U - du Problem ? Inverse Trig.
(also has a U-du component)
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Arctan vs. Ln Always check ln first !
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Example (introduce a variable factor):
U - du ???? arcsec ???? REM: NEVER CROSS the with a variable ! ! !
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Example (introduce a variable factor):
arcsec ???? U - du
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Examples (Complete the square):
ADD ZERO -
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Examples (Complete the square):
Negative lead
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Examples (Complete the square):
Non-one lead
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Examples (THINK): ADD ZERO
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Last Update: 02/06/06 Assignment: Worksheet Larson 5.8
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