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Homework Help: Integration of line of charge

  1. Feb 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Alright I am not sure how to integrate this:

    Integrate

    1/ { [ x (^2) + a (^2) ] [^(3/2)] }

    For a more clear expression click here: http://hyperphysics.phy-astr.gsu.edu/hba… [Broken] And see the expression after the line that says : The integral required to obtain the field expression is.

    And I want the answer as the same in that site. How do we do it?



    2. Relevant equations



    3. The attempt at a solution


    What do we substitute? How do we proceed?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Feb 9, 2010 #2
    substitute x= a * tan(u)

    then find dx/du. and then simplify that badboy
     
  4. Feb 9, 2010 #3
    i did it very quickly and got arctan(x/a)/a²
     
  5. Feb 9, 2010 #4
    i can also guess your bounds, and say that the answer could be pi/2a²
     
  6. Feb 9, 2010 #5
  7. Feb 9, 2010 #6
    Were you able to find it?
    Please let me know.. It' s important.
     
  8. Feb 10, 2010 #7
    Reply please
     
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