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Math Help - Approximating area

  1. #1
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    Approximating area

    Hi everybody. I'm currently working on a problem that asks me to approximate the area with rectangles.

    If the integral from 0 to 6 of (x - 2x + 2)dx is approximated by three inscribed rectangles of equal width on the x-axis, then the approximation is

    Since it says "inscribed", then I guess I should use lower Riemann sums?

    I got 28 at the end. Am I correct?

    Thanks a lot.
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  2. #2
    Member billa's Avatar
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    28 is the correct answer for the lower riemann sum, but the rectangles in this sum do not lie entirely underneath the parabola (between the parabola and the x-axis), if that is what you intended.

    Look at a graph of the function (http://www.wolframalpha.com/input/?i=plot+x^2-2x%2B2)
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  3. #3
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    Thanks for your reminder. I saw the graph and did it again. The sum of the 3 inscribed rectangles = 26. Am I correct this time? Thanks.
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