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Math Help - Repeated linear factors in partial fraction integration

  1. #1
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    Repeated linear factors in partial fraction integration

    Why do we need to include a repeated linear factor when using partial fraction integration?

    example: 1/(x+2)^2 = a/(x+2) + b/(x+2)^2. Why can't we treat that "b" term as a quadratic with a "bx +c" in the numerator? I know we HAVE to do it this way but I haven't found a good explanation as to WHY.

    Please help!

    Bret
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  2. #2
    Member Jason Bourne's Avatar
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    Quote Originally Posted by bmnorvil View Post
    Why do we need to include a repeated linear factor when using partial fraction integration?

    example: 1/(x+2)^2 = a/(x+2) + b/(x+2)^2. Why can't we treat that "b" term as a quadratic with a "bx +c" in the numerator? I know we HAVE to do it this way but I haven't found a good explanation as to WHY.

    Please help!

    Bret
    I dont know but you can integrate 1/(x+2)^2 without using partial fractions
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  3. #3
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    I know Jason. I was using the idea of a/(x+2) + b/(x+2)^2 as an example of the issue of repeated linear factors.

    Bret
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