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Homework Help: Evaluate an Inegral

  1. Sep 21, 2008 #1
    1. The problem statement, all variables and given/known data
    Evaluate the integral.
    http://www.webassign.net/www30/symImages/7/a/8fcca85e1856587219a0f28aa29d3a.gif

    2. Relevant equations
    I think that i need to complete the square and then use, x=sec u, dx=sec u tan u du


    3. The attempt at a solution
    i have attempted various methods but none has yield the right result :S
    ive gotten
    X^2/((x-1/3)^2-16/9)^(3/2)

    then i used U=x-1/3
    (u+1/3)^2/(U^2-16/9)^(3/2)
    then i use u=(4/3)sec o and du=(4/3)sec o tan o do

    and i get

    ((16/9)(sec o )^2 + (8/9)sec o + (1/9))/(64/27)(Tan o)^3

    and i dont know where to go from there b/c the methods i have used have not worked
     
    Last edited by a moderator: Apr 23, 2017
  2. jcsd
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