Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. [^« Trapezoidal Simpson's exact (-4-x²) dx, n = 6 Need Help? Read It Watch It
Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. [^« Trapezoidal Simpson's exact (-4-x²) dx, n = 6 Need Help? Read It Watch It
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use the Trapezoidal Rule and Simpson’s Rule to approximate the value of the definite integral for the given value of \( n \). Round your answer to four decimal places and compare the results with the exact value of the definite integral.
\[
\int_1^4 (-4 - x^2) \, dx, \quad n = 6
\]
- Trapezoidal: [____]
- Simpson’s: [____]
- Exact: [____]
Need Help?
- Read It
- Watch It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb008c437-902e-4304-877f-834a67eaa9dc%2F0cf6cf68-60f3-4fe9-80a9-3724a119e809%2F1dymrtc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Trapezoidal Rule and Simpson’s Rule to approximate the value of the definite integral for the given value of \( n \). Round your answer to four decimal places and compare the results with the exact value of the definite integral.
\[
\int_1^4 (-4 - x^2) \, dx, \quad n = 6
\]
- Trapezoidal: [____]
- Simpson’s: [____]
- Exact: [____]
Need Help?
- Read It
- Watch It
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