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...

  4. Mar 31, 2012 #3


    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:

  5. Apr 1, 2012 #4
    Thanks. Thanks alot.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - power series arctan Date
I Power series - Different problem Mar 28, 2017
I Power series Mar 28, 2017
I Power series ratio test Jun 11, 2016
I Square Root in an alternating power series Apr 24, 2016
I Power Series solution to dy/dx=x+y Mar 17, 2016