Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor

    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook