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    Real Analysis : Using a Summation Series to Estimate an Integral

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    Say the only tool you have available to you is a pocket calculator which performs addition, subtraction, multiplication, and division, accurate to 15 decimal places.

    Explain a practical way to compute:

    Integral from 0 to 1 of e^[-(x^2)]

    to within an error less than 10^-8. Prove that the method works.

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    https://brainmass.com/math/integrals/real-analysis-summation-series-estimate-integral-31520

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    Since , we have

    So,
    ...

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    A Summation Series is used to Estimate an Integral. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

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