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Math Help - Substitution and Integrate

  1. #1
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    Substitution and Integrate

    The integral is 1/(1+cubert[x]) dx from 0 to 1. I'm supposed to make a substitution to express the integrand as a rational function and then evaluate the integral.

    I got the part of x=u^2-1 and dx=2du but plugging into the equation and going from there I'm getting messed up somewhere.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by sfgiants13 View Post
    The integral is 1/(1+cubert[x]) dx from 0 to 1. I'm supposed to make a substitution to express the integrand as a rational function and then evaluate the integral.

    I got the part of x=u^2-1 and dx=2du but plugging into the equation and going from there I'm getting messed up somewhere.
    \int\frac{dx}{1+\sqrt[3]{x}}\overbrace{\mapsto}^{z^3=x}\int\frac{3z^2}{1+z  }dz
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