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Math Help - Finding Upper and Lower Bounds

  1. #1
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    Finding Upper and Lower Bounds

    Hi Everyone,

    I"m stuck on this question in my calculus book, and am wondering how I should approach it. Here is the question

    Find a lower and upper bound for the area under the curve of over the interval [4, 7] by computing two different Riemann sums - one at the left endpoint and the other at the right endpoint - and by
    dividing your interval into 3 sub-intervals.

    Would this just be calculating F(x) and solding F(7) and F(8)?

    THanks a lot!
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  2. #2
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    No, it has asked you to create \displaystyle 3 subdivisions along your \displaystyle x axis and use these to create rectangles of width \displaystyle f(x) along the left end points, and then the right end points. When you sum the areas, you will get an upper bound and a lower bound for the area under the graph.
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