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Problem with int(arctan(B-x/tan(a))/(d-x)) dx

  1. Oct 30, 2009 #1
    hi there,

    i have problems to calculate following integral:

    int{ arctan [ (B - (x/tan(a)))/(d-x) ]} dx

    any ideas?

    thanks for the help
     
    Last edited: Oct 30, 2009
  2. jcsd
  3. Oct 30, 2009 #2
    Interesting puzzle is to combine data from the title and the formatted expression to come to an actual expression to integrate! I think I've come to this:

    int{ arctan [ (B - (x/tan(a)))/(d-x) ]} dx

    But don't want to consider working on it untily ou can verify this is correct?
     
  4. Oct 30, 2009 #3
    sorry for the kauderwelsch (looked fine in the editor).
    your assumption was correct and i have corrected it.
     
  5. Oct 30, 2009 #4

    Gib Z

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    My first guess was that it wouldn't be possible in terms of elementary functions, but Following a substitution of u= d-x you can get an integral in the form

    [tex]\int \arctan \left( \frac{T+x}{x} \right) dx[/tex] where T is some constant.

    That one is possible, but definitely not easy. Do you need the steps or just an answer?
     
  6. Oct 30, 2009 #5
    thx gib z,
    i will try to convert it.
    if its not too much trouble, i would like to see the first few steps.
     
  7. Oct 30, 2009 #6

    Gib Z

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    You can see the steps done to evaluate that integral here: http://www40.wolframalpha.com/input/pod.jsp?id=MSP10619827f2b7e0hife90000527074ag4ca4963a&s=39 [Broken]

    Whilst I normally would say give it a try yourself, I'm not sure this one's worth it unless you are really good at integration or are extremely persistent.
     
    Last edited by a moderator: May 4, 2017
  8. Oct 30, 2009 #7
    thank you for the link.
    i will give it a try myself. i am not very good at integration, but i will be very persistent.
     
  9. Oct 30, 2009 #8

    Gib Z

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  10. Oct 31, 2009 #9
    thx for the updated link
     
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