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Math Help - Midpoint Rule Problem

  1. #1
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    Midpoint Rule Problem

    \int_{0}^{1}13\cos(x)^{2} dx

    n = 4

    values of intervals

    are y_{0} = 13

     y_{1} = 12.9997525

     y_{2} = 12.99901002

     y_{3} = 12.99777261

     y_{4} = 12.996040


    change in x = \dfrac{b - a}{n} = \dfrac{1 - 0}{4} = 1/4

    Midpoint Rule
    Last edited by Jason76; August 3rd 2014 at 07:28 PM.
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  2. #2
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    Re: Midpoint Rule Problem

    First, like we have said in the other post, use radians lol.
    Also, although the partition is 0, 0.25, 0.5, 0.75, 1, midpoint rule requires you to find f(0.125), f(0.375), f(0.625) and f(0.875).
    Add them up and multiply by the partition width - 0.25.
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