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He power series of arctan

  1. Mar 31, 2012 #1
    How do we get the power series of arctan using integration. Could someone explain this step by step as I'm quite confused about it.
     
  2. jcsd
  3. Mar 31, 2012 #2

    [itex]\frac{1}{1+x^2} = 1-\frac{x^2}{2!}+\frac{x^4}{4!}-...[/itex], and since

    [itex](Arctan\, x)'=\frac{1}{1+x^2}[/itex] , then...

    DonAntonio
     
  4. Mar 31, 2012 #3

    chiro

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    Hey hivesaeed4 and welcome to the forums.

    To add on to what DonAntonio said, investigate what Taylor series are and how are they are used:

    http://en.wikipedia.org/wiki/Taylor_series
     
  5. Apr 1, 2012 #4
    Thanks. Thanks alot.
     
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