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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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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