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Fairly simple but incorrect integral

  1. Mar 1, 2010 #1
    1. The problem statement, all variables and given/known data


    The answer is given: [tex]=\frac{3}{2}(x-2)^\frac{2}{3}-3(x-2)^\frac{1}{3}+ln|1+(x-2)^\frac{1}{3}|+C[/tex]

    2. Relevant equations

    3. The attempt at a solution











    [tex]=3\int dw-3\int\frac{dw}{w}[/tex]




  2. jcsd
  3. Mar 1, 2010 #2


    Staff: Mentor

    Your equation for dx is wrong. If u3 = x -2, then 3u2du = dx.
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