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Math Help - Linear factor partial fraction problem

  1. #1
    s3a
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    Linear factor partial fraction problem

    I get the answer ln6 - 2ln2 = 0.4055 and the answer, according to the book, is 1/2 * ln(3/2) which is half of what I get. Can someone please point out where I made a mistake? (My work is attached - The problem is #11)

    Any input would be greatly appreciated!
    Thanks in advance!
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    Quote Originally Posted by s3a View Post
    I get the answer ln6 - 2ln2 = 0.4055 and the answer, according to the book, is 1/2 * ln(3/2) which is half of what I get. Can someone please point out where I made a mistake? (My work is attached - The problem is #11)

    Any input would be greatly appreciated!
    Thanks in advance!
    Hi. Your error stems from your substitution.

    Note that when u = 2x + 2, du = 2 dx. You made du = dx. You have the same problem with your w = 2x-2 substitution. Otherwise you have the correct working.
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    s3a
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    Thanks!
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