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Math Help - Integrating terms with powers of x.

  1. #1
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    Integrating terms with powers of x.

    \int (x^{1/3}-3x^{-2/3}+6) dx
    = x^{4/3}-3(x^{1/3})+6x+C
    is this correct?
    Last edited by mr fantastic; June 9th 2010 at 07:25 PM. Reason: Re-titled.
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  2. #2
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    What in the world are you going on about in this series of posting?
    It appears that you have no idea as to what anti-differentiation is all about.
    DO YOU? I doubt that you understand any of this.

    If n\ne -1 then \int {x^n  = \frac{1}{{n + 1}}x^{n + 1} }
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  3. #3
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    In the process of learning

    so it would make it:
    \int \frac{3}{4} x^{4/3}-9x^{1/3}+6x+C
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  4. #4
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    Quote Originally Posted by Minino777 View Post
    so it would make it:
    \int \frac{3}{4} x^{4/3}-9x^{1/3}+6x+C
    That is up to you to find out.
    Find the derivative of that answer. Is it the same as what you had first?
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  5. #5
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    Answer

    Yes, it is
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