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Math Help - integration

  1. #1
    Junior Member
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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. #2
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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. #3
    MHF Contributor chiph588@'s Avatar
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     x^{2}\sqrt{x} = x^{\frac{4}{2}}x^{\frac{1}{2}} = x^{\frac{5}{2}}
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