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Math Help - Integrals & Sigma Notation

  1. #1
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    Integrals & Sigma Notation

    Consider the definite integral
    Then the right Riemann sum obtained by subdividing the integral into equal parts is
    where

    (Your answer should contain the variables and .) After simplifying this algebraically and breaking it up into three parts, we can write this Riemann sum as
    where



    should only depend on and not on . After applying the formulas
    we can rewrite the Riemann sum as the following function of :

    Taking the limit of this as , we obtain that

    Im stuck at the first part. I know that the delta x is supposed to be b-a/n so that would be 2/n. other than that I am not sure where to go
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  2. #2
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    f(x) = 3x^2 + 2x + 3

    Right Riemann sum in interval [a,b] of n equal parts is:
    \sum_{i=1}^n f(x_i)\Delta x

    Where \Delta x = \frac{b-a}{n} and x_i = a + i\Delta x.
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  3. #3
    MHF Contributor FernandoRevilla's Avatar
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    Also, this thread could be useful.


    Fernando Revilla
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