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Math Help - Quick Antiderivative Help Please

  1. #1
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    Quick Antiderivative Help Please

    Hey, I just ran into a problem on an assignment that requires take the antiderivative of x/(1+x^3), and I don't know how to do it (that's "x" over "one plus x-cubed").

    Any help is appreciated.

    edit: I also ran into this one: Find the differential equation for this family of curves: y = x*sin(x+c)
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  2. #2
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    Quote Originally Posted by primasapere View Post
    Hey, I just ran into a problem on an assignment that requires take the antiderivative of x/(1+x^3), and I don't know how to do it (that's "x" over "one plus x-cubed").

    Any help is appreciated.
    The quotient rule,
    \frac{(x)'(1+x^3)-(x)(1+x^3)'}{(1+x^3)^2}
    Simplify it.
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  3. #3
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    That's the quotient rule for derivatives, but I need to take the antiderivative. I don't think I can apply what you wrote in a way I understand with this problem.
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