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Homework Help: Integral of expression with radical

  1. Feb 2, 2012 #1
    1. The problem statement, all variables and given/known data
    There's a problem that involves triple integrals, but basically, I've boiled all of it down to the following single integral but cannot proceed any further.

    ∫u2 sqrt(a2-u2) du
    from 0 to a

    where a is a constant

    2. Relevant equations

    3. The attempt at a solution

    I attempted to use a change of variables, where
    v = a2 - u2 and
    dv = -2udu

    but i still can't integrate it after substituting in for all u's.
  2. jcsd
  3. Feb 2, 2012 #2


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    Staff Emeritus
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    How about a trig substitution?
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