Unformatted text preview: ( 29 ( 29 A ax b A ax b A ax b n n 1 2 2 + + + + ⋅⋅⋅ + + where the A ’s are constants to be determined. Case III. Distinct Quadratic Factors To each irreducible quadratic factor ax bx c 2 + + occurring once in the denominator of a proper rational fraction, there corresponds a single partial fraction of the form Ax B ax bx c + + + 2 , where A and B are constants to be determined. Case IV. Repeated Quadratic Factors To each irreducible quadratic factor ax bx c 2 + + occurring n times in the denominator of a proper rational fraction, there corresponds a sum of n partial fractions of the form ( 29 ( 29 A x B ax bx c A x B ax bx c A x B ax bx c n n n 1 1 2 2 2 2 2 2 + + + + + + + + ⋅⋅⋅ + + + + where the A ’s and B ’s are constants to be determined....
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 Spring '08
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 Calculus, Division, Integrals, Fraction, Elementary arithmetic, ax, Rational function

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