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Math Help - MRAM and Trapezoid Rule??

  1. #1
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    MRAM and Trapezoid Rule??

    I don't get this...

    -My teacher never told me how to do the Midpoint Riemann Sum
    -WE don't have the graph, is there a way to solve the problem w/o graphing??

    Integral from 1 to 2 of x{{^-2}}

    n = 4
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  2. #2
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    Alright I have figured out how to do the Trapezoidal Rule, and got the right answer..

    But I still have no clue on what to do about MRAM.
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  3. #3
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    f(x) = \frac{1}{x^2}

    midpoint Riemann sum ... height of each rectangle is the function value evaluated at the midpoint of each subinterval.

    for example, the first subinterval starts at 1 and ends at \frac{5}{4} ... midpoint x-value is \frac{1+\frac{5}{4}}{2} = \frac{9}{8}

    \int_1^2  \frac{1}{x^2} \, dx \approx \frac{2-1}{4}\left[f\left(\frac{9}{8}\right)+f\left(\frac{11}{8}\righ  t)+f\left(\frac{13}{8}\right)+f\left(\frac{15}{8}\  right)\right]
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