Results 1 to 2 of 2

Math Help - integral power series problem w/ artcan.

  1. #1
    Senior Member
    Joined
    Jan 2007
    Posts
    477

    integral power series problem w/ artcan.

    I've found a more challenging integral. I had trouble figure this one out.

    Evaluate the indefinite integral as a power series. What is the radius of convergence?

    the arctangent through me off.

    also, INT (x - arctan x)/ x^3 dx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Rebesques's Avatar
    Joined
    Jul 2005
    From
    At my house.
    Posts
    542
    Thanks
    11
    Expand Arctanx as a power series around 0 and integrate. You 'll get a new power series, whose radius of convergence can be calculated by the 1/limsup formula.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integral as a power series
    Posted in the Calculus Forum
    Replies: 6
    Last Post: October 23rd 2010, 08:42 AM
  2. Integral/Power Series
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 17th 2009, 03:03 AM
  3. indefinite integral, power series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 4th 2009, 04:50 PM
  4. integral, power series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 20th 2007, 04:26 AM
  5. definite integral, w/ power series.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 19th 2007, 10:13 PM

Search Tags


/mathhelpforum @mathhelpforum