Consider the integral shown below: 4 ∫ ((e^x)ln(x))/x dx 1 Evaluate the integral using: Trapezoid rule with one interval, Trapezoid rule with three intervals, Simpson’s 1/3 rule with one interval,
Consider the integral shown below: 4 ∫ ((e^x)ln(x))/x dx 1 Evaluate the integral using: Trapezoid rule with one interval, Trapezoid rule with three intervals, Simpson’s 1/3 rule with one interval,
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 20CR
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Question
Consider the
4
∫ ((e^x)ln(x))/x dx
1
Evaluate the integral using:
- Trapezoid rule with one interval,
- Trapezoid rule with three intervals,
- Simpson’s 1/3 rule with one interval,
- 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 7, select the result that gives the most accurate estimate of the integral and explain the reason for your suggestion.
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