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Thread: integration

  1. Nov 3rd 2008, 10:26 PM #1
    samdmansam
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    integration

    how do I integrate ((-x^2)*sqrt(x))dx
    please dont just answer, I can solve the rest but dont understand how to solve this one.
    Thanks heaps
    Sam
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  2. Nov 3rd 2008, 10:33 PM #2
    Soroban
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    Hello, Sam!

    You'll kick yourself . . .

    How do I integrate: . \int(\text{-}x^2)\sqrt{x}\,dx

    We have: . \int\left(\text{-}x^2\right)\left(x^{\frac{1}{2}}\right)\,dx \;=\;-\!\!\int x^{\frac{5}{2}}\,dx\quad\hdots etc.
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  3. Nov 3rd 2008, 10:33 PM #3
    chiph588@
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    x^{2}\sqrt{x} = x^{\frac{4}{2}}x^{\frac{1}{2}} = x^{\frac{5}{2}}
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