4. Using Romberg's rule, approximate dx.
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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Answer number 4 ONLY
![1. Given: ³√4 + x³ dx
a. Approximate the integral using Trapezoidal rule.
b. Approximate the integral using Simpson's 1/3 rule.
2. Given f (x) = approximate ff(x) dx the trapezoidal rule with four subdivisions to three decimal places..
In x'
3. Using Simpson's rule with n = 6. Estimate the area of the surface generated by revolving the curve f(x) = 2x² on the interval [0,3].
4. Using Romberg's rule, approximate ſdx.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70fc39d2-4f2c-48f5-8a69-f0a79827303a%2Fd78e74b1-f956-41ea-beaa-6dccf0f4d3a6%2Fgpotku9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Given: ³√4 + x³ dx
a. Approximate the integral using Trapezoidal rule.
b. Approximate the integral using Simpson's 1/3 rule.
2. Given f (x) = approximate ff(x) dx the trapezoidal rule with four subdivisions to three decimal places..
In x'
3. Using Simpson's rule with n = 6. Estimate the area of the surface generated by revolving the curve f(x) = 2x² on the interval [0,3].
4. Using Romberg's rule, approximate ſdx.
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