1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrate x/(x^2 + ax + a^2)

  1. Oct 31, 2005 #1
    Hi. I want to integrate x/(x^2 + ax + a^2)
    I tried substitution with u=x^2 then du =2x but that didn't work out neither did the substitution x^2 + ax
    I thought of factorizing the denominator and using partial fractions, but I think that's not the way, can't figure out the factorization.
    Could someone please give me a hint how to integrate this.
     
    Last edited: Oct 31, 2005
  2. jcsd
  3. Oct 31, 2005 #2

    TD

    User Avatar
    Homework Helper

    If there was a 2ax in the denominator instead of ax, it would've been easier :smile:
    This is a typical example of an integral which will have an ln-part and an arctan-part. Do you see why/how?
     
  4. Oct 31, 2005 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    TD's hint is best: complete the square!
     
  5. Nov 1, 2005 #4
    Compleated the square and everything works. Thanks guys.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integrate x/(x^2 + ax + a^2)
  1. Integrating e^-ax^2 (Replies: 7)

  2. Var(ax^2 - x ) (Replies: 7)

Loading...