A convergent improper integral over an infinite interval can be approximated by first replacing the infinite limit(s) of
Suppose that the integral in Exercise 66 is approximated by first writing it as
then dropping the second term, and then applying Simpson’s rule to the integral
The resulting approximation has two sources of error; the error Simpson’s rule and the error
that result from discarding the second term. We call E the truncation error.
(a) Approximate the integral in Exercise 66 by applying Simpson’s rule with
Round your answer to four decimal places and compare it to
(b) Use the result that you obtained in Exercise 52 and the fact that
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- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,