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Thread: Left and right endpoints

  1. #1
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    Left and right endpoints

    Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval.
    f(x) = cos(x), (0, \frac{\pi}{2}), 4 rectangles

    Plese check for me where I'm wrong
    the width of each retangles is \frac{\pi}{8}

    use right endpoints we have

    \sum_{i=1}^4 cos\frac{\pi}{8}i\frac{\pi}{8}

    use left endpoints we have

    \sum_{i=1}^4 cos\frac{\pi}{8}(i-1)\frac{\pi}{8}
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  2. #2
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    Re: Left and right endpoints

    Hey dangbeau.

    If what I think you are doing is right, then what you have done is good.
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