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Math Help - Find the anti-derivative

  1. #1
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    Find the anti-derivative

    \int \frac{2}{3}(1-x^2)^{3/2}\; dx

    Hmm... I don't think you can simply use the u-substitution technique here, as there is no kx, k \in \mathbb{R} term on the outside.

    Any idea?
    Last edited by scorpion007; May 4th 2009 at 07:00 AM. Reason: typo
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  2. #2
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    Quote Originally Posted by scorpion007 View Post
    \int \frac{2}{3}(1-x^2)^{3/2}\; dx

    Hmm... I don't think you can simply use the u-substitution technique here, as their is no kx, k \in \mathbb{R} term on the outside.

    Any idea?
    Let x = \sin \theta. Then use some double angle formulas.
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