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Integral of e^(6x)/(e^(6x)+6)

  1. Nov 18, 2009 #1
    Hi I have to find the indefinete integral of

    e^(6x)/(e^(6x)+6)*dx

    And I get

    1/6*(ln(e^6x+6)) +C

    What am I doing wrong?

    Thank you
     
  2. jcsd
  3. Nov 18, 2009 #2

    arildno

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    Why do you think it has gone awry? :smile:
     
  4. Nov 18, 2009 #3
    All of my calculus homework is submitted online to Web assign, and the website says that this is wrong. I cannot see where I may have made a mistake, and I was wondering if somebody could point it out, and show me how to get to the right answer
     
  5. Nov 18, 2009 #4
    Perhaps the online answer is looking for an absolute value of the quantity (e^6x + 6) in the argument of the ln in your answer?

    You are justified in removing the absolute value, since
    (e^6x + 6) > 0 for all real x.
     
  6. Nov 18, 2009 #5

    arildno

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    1. Is the conventional Web Assign code for the undetermined constant "C"?

    2. Sometimes, "log" is used as denoting "ln", since Briggsian logarithms are beyond moribund.
     
  7. Nov 18, 2009 #6
    (1) Do you have to write * for multiply on that web interface? If so, your answer does not qualify.

    (2) If you write e^6x it probably means (e^6)*x, and that is certainly wrong.
     
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