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Help with integration

  1. Mar 1, 2012 #1
    ∫dx
    --------------------- (divide by)
    (x2+a2)3/2

    Tried integrating with substitution with U = x2+a2)
    Then dU = 2xdx
    x = √(U-a2)

    Leaving me with dU/ (2x) (U)3/2
    = ∫dU/2
    -----------------------
    √(u-a2))(U)3/2

    But that doesn't help either.

    Do I need to use a table? Thanks for any help.
     
  2. jcsd
  3. Mar 2, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    You can use that 1/(1+tan^2(θ))=cos^2(θ)

    Substitute x/a=tan(u).

    ehild
     
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