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Thread: 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 $\displaystyle \displaystyle 3$ subdivisions along your $\displaystyle \displaystyle x$ axis and use these to create rectangles of width $\displaystyle \displaystyle f(x)$ 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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