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Math Help - finding area using Riemann sum

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    finding area using Riemann sum

    If I'm finding an area (using a Reiman sum) of the area under the graph of f(x)=1+x^2 between -1 and 2 using left end points and three rectangles (n=3) then I should get delta x = 1 and so the area using left end points is

    f(x_0)+f(x_1)+f(x_2), which would be f(-1)+f(0)+f(1) => (1+(-1)^2) + (1+0) + (1+(1^2)) = 2 + 1 + 2 = 5

    My text says it should be just over 6 using left end points, and 8 using right end points.

    When I do it with the right and points I get an area of 8 => f(x_1) + f(x_2) + f(x_3) => (1+0) + (1+1) + (1+2^2) = 1+2+5 = 8
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    Re: finding area using Riemann sum

    Quote Originally Posted by kingsolomonsgrave View Post
    If I'm finding an area (using a Reiman sum) of the area under the graph of f(x)=1+x^2 between -1 and 2 using left end points and three rectangles (n=3) then I should get delta x = 1
    Lets start over. \Delta x=1 and x_0=-1,~x_1=0,~\&~x_2=1.
    Last edited by Plato; June 13th 2013 at 06:09 PM.
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