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Math Help - Quick explanation of integral

  1. #1
    s7b
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    Quick explanation of integral

    Hi,

    How do you go from

    double integral of (2r)/(1+r) drdtheta to:

    2 times the double integral of (1-(1/(1+r)))drdtheta
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  2. #2
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    Quote Originally Posted by s7b View Post
    Hi,

    How do you go from

    double integral of (2r)/(1+r) drdtheta to:

    2 times the double integral of (1-(1/(1+r)))drdtheta
    2\int \frac{r}{1+r}dr=2\int \frac{1+r-1}{r+1}=2\int \frac{1+r}{1+r}+\frac{-1}{1+r}dr=2 \int 1-\frac{1}{1+r}dr

    you could also use polynomial long division
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