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    Definite Integrals Evaluated

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    Consider the definite integral I

    4
    I = ∫ e^x dx
    0

    1. evaluate the integral I directly by use of a suitable anti-derivative.

    2. evaluate the integral I by use of a suitable Riemann sum and formally limiting that sum

    3. evaluate the integral I by use of the trapezoidal rule:
    a) I T,2 - for 2 sub-intervals
    b) I T,4 - for 4 sub-intervals
    c) I T,8 - for 8 sub-intervals

    4. evaluate the intergral I by use of simpson's rule:
    a) I S,2 - for 2 sub-intervals
    b) I S,4 - for 4 sub-intervals
    c) I S,8 - for 8 sub-intervals

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    Solution Summary

    The expert evaluates the integral by use of simpson's rules are determined.

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