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Need Integral Help!

  1. Jun 23, 2008 #1
    1. The problem statement, all variables and given/known data

    Integrate the indefinite integral of 1/((4x^2)+(4x)+5)

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 23, 2008 #2

    Hootenanny

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    I assume you mean find the indefinite integral. You also forgot to fill in the following two sections, in particular the final one:
     
  4. Jun 23, 2008 #3
    Sorry, I have no clue how to get started. The denominator won't factor (at least to linear factors w/ integral coefficients) and the discriminant is complex anyway. So if it's a partial fraction type solution, how do you get started? Thanks.
     
  5. Jun 23, 2008 #4

    Defennder

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    Try completing the square of the denominator.
     
  6. Jun 23, 2008 #5
    So 1/(4x^2)+4x+5 =1/((2x+1)^2)+4 and I make a u-sub. Looks like tan^-1 type integral. Correct?
     
  7. Jun 23, 2008 #6

    Hootenanny

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    Looks good to me :approve:. Choose your substitution carefully.
     
  8. Jun 23, 2008 #7
    Thanks for your help, Def & Hoot!
     
  9. Jun 23, 2008 #8

    Hootenanny

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    A pleasure :smile:
     
  10. Jun 24, 2008 #9
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