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Math Help - Integral Test and Estimation Problem Help

  1. #1
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    Integral Test and Estimation Problem Help

    Let f be a continuous, positive, decreasing function on [3, ∞). Compare the values of the integral of: A: the integral (from 3 to 10) of f(z)dz, B: summation (sigma notation) of f(n) from 3 to 9, and C: summation (sigma notation) of f(n) from 4 to 10. Answer choices: 1. B>C>A 2. C < A < B 3. A < B < C 4. B < A < C 5. A > B > C 6. B < C < A

    I initially picked 5 and was wrong.

    How would I do this? I tried drawing rectangles and am still not quite sure what the order of the bigger value is.
    Help and feedback appreciated.

    Thanks
    Last edited by Beevo; September 1st 2012 at 06:06 PM.
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  2. #2
    Junior Member
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    Texas
    Posts
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    Re: Integral Test and Estimation Problem Help

    Well I resolved this problem by using the visual method of drawing rectangles and concluded that the answer is 2, which is C<A<B. Can anyone confirm if this is correct? I need to make sure it is right before I submit my answer.
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