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Math Help - Partial fractions and integration

  1. #1
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    Partial fractions and integration

    \int\frac{x+2}{(x+3)^2(x+1)}
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  2. #2
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    Get a CAS.
    Attached Thumbnails Attached Thumbnails Partial fractions and integration-partfrac.gif  
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    Thanks for the quick reply. What's a CAS?

    Darn, my first time using Latex and I forgot to put in the limits which was 3 and 0. Anyhow my partial fractions matches yours, but my answer(ln 8) after integrating doesn't match the answer page of my book.
    Last edited by mr fantastic; May 10th 2009 at 09:15 PM. Reason: m --> r
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    Quote Originally Posted by gamboo View Post
    \int\frac{x+2}{(x+3)^2(x+1)}
     \int\frac{x+2}{(x+3)^2(x+1)}dx = \frac{1}{2}\int\frac{(x+3) +(x+1)}{(x+3)^2(x+1)} dx = \frac{1}{2} \int \frac{1}{(x+3)(x+1)} dx + \frac{1}{2} \int \frac{1}{(x+3)^2} \,dx = \frac{1}{4} \int \frac{(x+3)-(x+1)}{(x+3)(x+1)} dx + \frac{1}{2} \int \frac{1}{(x+3)^2} \,dx

     <br />
= \frac{1}{4} \int \frac{dx}{x+1} - \frac{1}{4} \int \frac{dx}{x+4} + \frac{1}{2} \int \frac{dx}{(x+3)^2} <br />

    Quote Originally Posted by gamboo View Post
    Thanks for the quick reply. What's a CAS?

    Darn, my first time using Latex and I forgot to put in the limits which was 3 and 0. Anyhow my partial fractions matches yours, but my answer(ln 8) after integrating doesn't match the answer page of my book.
    Computer Algebra System (CAS)
    Last edited by mr fantastic; May 10th 2009 at 09:16 PM.
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