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Can anyone kindly show me the steps to solve this question?

  1. Sep 7, 2006 #1
  2. jcsd
  3. Sep 7, 2006 #2
    i would start with long division & see what i get. if it turned out to be something that partial fractions would work on i'd do that, or trig substitution etc etc. there's a forum just for homework problems where this thread really belongs. :wink:
  4. Sep 7, 2006 #3


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  5. Sep 7, 2006 #4
    there's a lot there but you still only need standard textbook methods to integrate it.
  6. Sep 8, 2006 #5


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    Care to show us the way... :tongue:
  7. Sep 8, 2006 #6
    I'd start by trying to see if either -1 or -4 is a root of the top. That would help you lowert the power of that monstruosity. I doubt it is a non-reductible quintic that you got to integrate...if not, long division, get a rational expression plus a bunch of constant/linear/quadratic parts and integrate it each piece at a time.

    If I recall,


    So all components after the division should be very simple to integrate except the fraction if there is one...and that shouldn't be too bad neither.
    Last edited: Sep 8, 2006
  8. Sep 8, 2006 #7


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    As fourierjr said at the beginning: go ahead and do the division. That integrand is equal to
    [tex]x-1- \frac{6x^3+ 6x^2+ 11x+ 1}{(x+1)^2(x^2+ 4)}[/tex]
    You can use partial fractions to integrate that fraction.
  9. Nov 12, 2006 #8
    I've just got the solution.Thanks a lot!!
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