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Two solutions for same problem dont match ?

  1. Feb 19, 2012 #1
    I was integrating and I noticed that if I integrate one way I get a diff answer than if I integrated another way... My work is in the paint document. I followed all the correct algebraic prodedures I believe... but anyways which one is incorrect?
     

    Attached Files:

  2. jcsd
  3. Feb 19, 2012 #2

    tiny-tim

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    Hii Miike012! :smile:

    Your two solutions are

    x - 6 + 6ln(x - 6) + C

    and x + 6ln(x - 6) + C​

    They're the same!

    (different C :wink:)
     
  4. Feb 19, 2012 #3
    Your answers are the same.

    If C is an arbitrary constant, then C-6 is also an arbitrary constant.

    (Beaten to the punch by tiny-tim.)
     
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