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Math Help - approximating integrals

  1. #1
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    approximating integrals

    Draw the graph of f(x) = sin(x^2/2) in the viewing rectangle [0,1] by [0,0.5] and let I = the integral of f(x) from 0 to 1.

    a) use the graph to decide whether L2, R2, M2, T2 underestimate or overestimate I.

    what is the viewing rectangle?
    for a) do i compute the left point with n = 2? and then compare it to I, which i do on the calculator?
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  2. #2
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    Quote Originally Posted by xfyz View Post
    Draw the graph of f(x) = sin(x^2/2) in the viewing rectangle [0,1] by [0,0.5] and let I = the integral of f(x) from 0 to 1.

    a) use the graph to decide whether L2, R2, M2, T2 underestimate or overestimate I.

    what is the viewing rectangle?
    for a) do i compute the left point with n = 2? and then compare it to I, which i do on the calculator?
    "Viewing Rectangle" -- This appears to be a Graphing Calculator assignment. Your operating instructions should cover this topic. It will be specific to your particular calculator.

    For n = 2, the first left point is x = 0. The second is x = 1/2.
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