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Math Help - Error Bounds with Trapezoid Rule

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    Error Bounds with Trapezoid Rule

    How large do we have to choose n so that the approximation Tn to Integral 0 -> pi sinx dx is accurate to within 0.0000001 ?

    Using Error <= (K (b-a)^3 ) / 12n^2
    with K <= f"(x), I come up with

    .0000001 <= 0/12n^2

    So I guess the max for |-sinx| is 1. Using that, I come up with 5084 for n? Is that right?
    Last edited by veronicak5678; September 20th 2008 at 07:23 AM.
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