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U-sub for a specific integral

  1. Aug 12, 2003 #1
    i've been trying to get the following u-substitution to work for this integral for a while now, but i just cant get it.

    ∫ ( (x2-1)(x+1) )-2/3 dx

    u = tan-1x (inverse tangent)

    can anyone help me out here?

    it's a textbook problem; and, the sub must work since the book cites the source of the problem as a math journal and list several other subs that should work as well (a couple of which i could get - the answer is (3/2)(x-1)1/3 / (x+1)1/3 + C).

    edit: forgot +C
    Last edited by a moderator: Aug 12, 2003
  2. jcsd
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