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Evaluate the integral

  1. Sep 28, 2008 #1
    1. The problem statement, all variables and given/known data

    Integrate 1/sqrt(x^2+16)


    The answer I get is :
    ln ((sqrt(16+x^2)+x)/4)+C

    and it is incorrect. The answer is ln(sqrt(16+x^2)+x) + C
     
  2. jcsd
  3. Sep 28, 2008 #2

    gabbagabbahey

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    Hint:

    [tex]ln(a/b)=ln(a)-ln(b)[/tex]
     
  4. Sep 28, 2008 #3
    but ln4 is not =0
     
  5. Sep 28, 2008 #4

    gabbagabbahey

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    No, but [tex]C- ln(4)[/tex] is still just a constant. Basically, your solution is correct but it is also equivalent to the other solution just with a different value of [tex]C[/tex].
     
  6. Sep 28, 2008 #5
    Of course! Thanks a lot:)
     
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