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Math Help - Trapezoid Rule

  1. #1
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    Trapezoid Rule

    I'm having a little trouble with this problem. Any help would be greatly appreciated.

    a) Use the trapezoid rule with n = 4 to approximate

    \int_{0}^{1} {{\sqrt{1+e^{(-x)}}}dx}<br />
    b) Do the same using Simpson's rule with n =4

    c) indicate how much more accurate you would expect the results to be if you used n =40 in each case


    for a) i got the answer to be similar to 1.27663

    and for b, i got the answer to be similar to 1.27561
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  2. #2
    Eater of Worlds
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    Here are some Maple-generated graphs for your enjoyment.
    Last edited by galactus; November 24th 2008 at 05:38 AM.
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