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Math Help - Approximate Integration

  1. #1
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    Red face Approximate Integration

    use simpson's rule with five function values to estimate the volume of the solid formed by rotating the curve y = 1/(1+x^2) about the X-axis between x = -2 and x=2.

    I've never seen this sort of question before, combining both volumes and area under curve. Could someone please show me how it is done?
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  2. #2
    Eater of Worlds
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    Just do it the same way except use washers.

    {\pi}\int_{-2}^{2}\left(\frac{1}{1+x^{2}}\right)^{2}dx

    By 5 function values, I reckon you mean 5 subintervals.

    \frac{b-a}{3n}=\frac{2-(-2)}{3(5)}=\frac{4}{15}
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  3. #3
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    ummm wat are washers?
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