Explore BrainMass

Explore BrainMass

    Definite Integral as the Limit of a sum

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

    Calculus
    Integral Calculus(II)
    Definite Integral as the Limit of a sum
    Method of Summation
    Definite Integral

    It is an explanation for finding the integral by the method of summation(part 2).

    Find by the method of summation the value of:

    (a) ∫ x^3dx, where the lower limit is 0 and the upper limit is 1,
    i.e., integral of x^3, where the lower limit is 0 and the upper limit is 1.
    (b) ∫ (ax + b)dx, where the lower limit is 0 and the upper limit is 1,
    i.e., integral of (ax + b), where the lower limit is 0 and the upper limit is 1.

    See the attached file.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:21 pm ad1c9bdddf
    https://brainmass.com/math/integrals/definite-integral-as-the-limit-of-a-sum-41746

    Attachments

    Solution Preview

    Calculus
    Integral Calculus(II)
    Definite Integral as the Limit of a sum
    Method of Summation
    ...

    Solution Summary

    This solution is comprised of a detailed explanation for finding the value of the definite integral by
    using the method of summation.
    It contains step-by-step explanation for the following problem:

    Find by the method of summation the value of:

    (a) ∫ x^3dx, where the lower limit is 0 and the upper limit is 1,
    i.e., integral of x^3, where the lower limit is 0 and the upper limit is 1.
    (b) ∫ (ax + b)dx, where the lower limit is 0 and the upper limit is 1,
    i.e., integral of (ax + b), where the lower limit is 0 and the upper limit is 1.

    Solution contains detailed step-by-step explanation.

    $2.49

    ADVERTISEMENT