Explore BrainMass

Explore BrainMass

    Real Analysis : Using a Summation Series to Estimate an Integral

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com November 24, 2022, 11:56 am ad1c9bdddf

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Since , we have


    Solution Summary

    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.