Formulas, etc Flashcards

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9
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Integration by Parts

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10
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Integration by Parts - Steps

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26
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To perform a PFD

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Degree of the Numerator < Degree of the Denominator.

If it is not, one must perform long division first.

Q(x) must be factored completely:

only linear and/or irreducible quadratic factors.

27
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Case I: Q(x) is the product of distinct linear factors.

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28
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Case II: Q(x) is the product of linear factors where some are repeated.

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29
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Case III: Q(x) contains irreducible quadratic factors that are not repeated.

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30
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Case IV: Q(x) contains a repeated irreducible quadratic factors.

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31
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Determine the coefficients - Method 1: Substitute in (1) values of x. Start with the roots of Q(x)

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32
Q

Determine the coefficients:

Method 2: Expand the right hand side of (1), collect like terms and match the coefficients of the powers of x.

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