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Math Help - integration of powers

  1. #1
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    integration of powers

    integrate 1/(x+x^(1/3))
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  2. #2
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    Quote Originally Posted by twilightstr View Post
    integrate 1/(x+x^(1/3))

    put x^{\frac{1}{3}} =t
    so
     \frac{x^{\frac{-2}{3}}dx}{3} = dt

    thus

     dx = 3t^2dt
    So
    \int{\frac{dx}{x+x^{1/3}} }

     <br />
= \int{\frac{3t^2dt}{t^3+t} }<br />
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