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Math Help - Constructing Antiderivatives Analytically!!

  1. #1
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    Constructing Antiderivatives Analytically!!

    Find the general antiderivative of the function below.



    G(x) = + C

    need help with this bad johnny please thanks
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  2. #2
    Moo
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    Hello,

    \frac{1}{x^3}=x^{-3}

    \frac{1}{\sqrt{x}}=x^{-1/2}

    The antiderivative for x^a, \forall a \in \mathbb{R} is \frac{x^{a+1}}{a+1}
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  3. #3
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Moo View Post
    Hello,

    \frac{1}{x^3}=x^{-3}

    \frac{1}{\sqrt{x}}=x^{-1/2}

    The antiderivative for x^a, \forall a \in \mathbb{R} is \frac{x^{a+1}}{a+1}
    Except a=-1 in which case it is \ln(x)
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  4. #4
    Moo
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    Yep
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