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Math Help - Antiderivative of roots

  1. #1
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    Antiderivative of roots

    I calculated the antiderivative of f(x) = (forth root of x^3) + (third root of x^4)

    = 4/5(x^3)^5/4 + 3/4(x^4)^4/3 + C

    However, I want to put back the answer the same way I found it, i.e. in the root (e.g. fourth root of x^3 + third root of x^4) . How do I do this?
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    (x^3)^5/4=x^(3*5/4)=x^(15/4)={x^3}*{x^(3/4)}
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