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Integration Problem

  1. May 29, 2007 #1
    Hi guys,
    Can anybody tell me how to integrate
    [tex]\int x\arctan(x) dx[/tex]

    I have tried a lot. The condition is i dont want to use integration tables.
    Last edited: May 29, 2007
  2. jcsd
  3. May 29, 2007 #2
  4. May 29, 2007 #3
    I need method to solve it!!!!!!!!!!!!!!!!
  5. May 29, 2007 #4
  6. Jun 1, 2007 #5
    I would first integrate arctanx by parts (u=arctanx, v'=1), and then integrate xarctanx by parts (u=x, v'=arctanx)
  7. Jun 2, 2007 #6

    Gib Z

    User Avatar
    Homework Helper

    We can avoid the first integration by parts of arctan x by choosing u' = x and v = arctan x for integrating x arctan x
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