Formulas, etc Flashcards
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Integration by Parts
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Integration by Parts - Steps
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To perform a PFD
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.
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Case I: Q(x) is the product of distinct linear factors.
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Case II: Q(x) is the product of linear factors where some are repeated.
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Case III: Q(x) contains irreducible quadratic factors that are not repeated.
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Case IV: Q(x) contains a repeated irreducible quadratic factors.
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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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Determine the coefficients:
Method 2: Expand the right hand side of (1), collect like terms and match the coefficients of the powers of x.
