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Math Help - polynomial long division integral

  1. #1
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    polynomial long division integral

    After applying polynomial long division, I arrived at the following. Based on what is here, did I do this correctly?

    \int{x^2-2x+4}+\frac{-7}{3x+1}
    \frac{1}{3}x^3-2*\frac{1}{2}x^2+4x-7\int\frac{1}{3x+1}
    -7ln|3x+1|+C
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  2. #2
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    Quote Originally Posted by gammaman View Post
    After applying polynomial long division, I arrived at the following. Based on what is here, did I do this correctly?

    \int{x^2-2x+4}+\frac{-7}{3x+1}
    \frac{1}{3}x^3-2*\frac{1}{2}x^2+4x-7\int\frac{1}{3x+1}
    -7ln|3x+1|+C
    \int \frac{-7}{3x+1}\,dx = - \frac{7}{3} \ln| 3x+1| + c
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