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Math Help - antiderivatives?

  1. #1
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    antiderivatives?

    i'm having problems with the more complex antiderivatives problems. help?

    a) x(-2+x^6) dx
    b) ((-4x^3+5x^12)/(x^-2)) dx
    c) (3+x^8)^2 dx
    d) -9e^x dx
    e) x^-5 sqrt(x) dx
    f) ((1/u^(5/4)+5sqrt(u)) du
    g) 1/4x^5 dx
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  2. #2
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    Hello

    Quote Originally Posted by keemariee View Post
    i'm having problems with the more complex antiderivatives problems. help?

    a) x(-2+x^6) dx
    Develop

    b) ((-4x^3+5x^12)/(x^-2)) dx
    Note that \frac{1}{x^{-2}}=x^2, then develop

    c) (3+x^8)^2 dx
    Develop

    d) -9e^x dx
    This may not be a problem..

    e) x^-5 sqrt(x) dx
    \sqrt{x}=x^{\frac 12}

    --> x^{-5} \sqrt{x}=x^{-5+\frac 12}

    f) ((1/u^(5/4)+5sqrt(u)) du
    \frac{1}{u^{\frac 54}}=u^{-\frac 54}

    g) 1/4x^5 dx



    The formula to know is that an antiderivative of x^n is \frac{x^{n+1}}{n+1}
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