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4. Using Romberg's rule, approximate dx.

4. Using Romberg's rule, approximate dx.

Advanced Engineering Mathematics
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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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.
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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