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Math Help - Midpoint Rule

  1. #1
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    Midpoint Rule

    Use the Midpoint Rule with N = 5 to approximate the integral 6siny^(1/2) dy from 0 to 10.

    I keep getting answers off from what I know has to be it. I thought I understood the process but I must be missing a step.
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  2. #2
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    N= 5 divides the interval from 0 to 10 into 5 sub-intervals each of length 2: 0- 2, 2- 4, 4- 6, 6- 8, 8- 10. The midpoints of those intervals are 1, 3, 5, 7, and 9. The integral should be just 12(sin(1^{1/2})+ sin(3^{1/2})+ sin(5^{1/2})+ sin(7^{1/2})+ sin(9^{1/2})).

    Is that what you did? In any case, show how you did that and what you got.
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  3. #3
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    Agh! I see what happened now. I didn't factor out the 6 and multiply it by 2.
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