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Math Help - Riemann Sums and Integrals

  1. #1
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    Riemann Sums and Integrals

    Question: Find the integral of the equation 2x+1 from 0 to 3 using Riemann Sums.

    Please show me how to do this, I keep on getting 9 as the answer, but it is actually 12.
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  2. #2
    Member eXist's Avatar
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    It depends on the Riemann Sum that you use. Either right, left or center. Also it depends on how many intervals you split it up into. Are there anymore instructions to the problem?
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  3. #3
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    I am using right Reimann sums and I am using infinite intervals n->∞.
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  4. #4
    Member eXist's Avatar
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    Then that's the same as the actual integral if n \Rightarrow \infty. Cause that means that dx \Rightarrow 0.

    So, take the actuall integral and you get:

    \int_0^3 2x + 1\, dx = x^2 + x between 0 and 3.

    = 3^2 + 3 - (0^2 + 0)
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  5. #5
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    ok thnks!
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