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Homework Help: Integral of (4x^4+x^2)^(1/2)

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data
    This should be an easy one but I'm having a brainfart...


    2. Relevant equations
    [tex]\int\sqrt{4x^{4}+x^{2}}dx[/tex]


    3. The attempt at a solution
    Do you take an x2 through the square root? From there you'd do this to get the derivative if the inside...I think...

    [tex]\frac{1}{8}[/tex][tex]\int\sqrt{4x^{2}+1}(8x)dx[/tex]

    A walkthough would be appreciated.
     
  2. jcsd
  3. Oct 20, 2009 #2
    That's good. Now use substitution with u = 4x2+1
     
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