Consider the integral shown below:    4 ∫       ((e^x)ln(x))/x   dx   1 Evaluate the integral using: Simpson’s 1/3 rule with three intervals, Simpson’s 3/8 rule with one interval, and Simpson’s 3/8 rule with three intervals. Finally, for question 4, select the result that gives the most accurate estimate of the integral and explain the reason for your suggestion.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 32E
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Consider the integral shown below:

   4
∫       ((e^x)ln(x))/x   dx
  1

Evaluate the integral using:

  1. Simpson’s 1/3 rule with three intervals,
  2. Simpson’s 3/8 rule with one interval, and
  3. Simpson’s 3/8 rule with three intervals.

Finally, for question 4, select the result that gives the most accurate estimate of the integral and explain the reason for your suggestion.

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,