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Homework Help: Integration Evaluation

  1. May 6, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int x(3x^2+1)^\frac{3}{2}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    [tex]u=3x^2+1[/tex]

    [tex]du=6x dx[/tex]

    [tex]\frac{dx}{6}=xdx[/tex]

    [tex]\int\frac{du}{6} u^\frac{3}{2}[/tex]

    [tex]\frac{1}{6}\int u^\frac{3}{2}du[/tex]

    [tex]\frac{1}{6} \frac{u^\frac{5}{2}}{\frac{5}{2}}[/tex]

    [tex]\frac{5}{12}u^\frac{5}{2}[/tex]

    [tex]\frac{5}{12}(3x^2+1)^\frac{5}{2}[/tex]
     
  2. jcsd
  3. May 6, 2008 #2
    [tex]\frac{1}{6} \frac{u^\frac{5}{2}}{\frac{5}{2}}[/tex] =/= [tex]\frac{5}{12}u^\frac{5}{2}[/tex]
     
  4. May 6, 2008 #3
    [tex]\frac{2}{30}u^\frac{5}{2}[/tex] ?
     
  5. May 6, 2008 #4
    Yeah looks right
     
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