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2 dx with n = 4. X Consider the integral 1 a. Find the trapezoid rule approximations to the integral using 2n subintervals. b. Compute the absolute error for the approximation computed in part a. .....

2 dx with n = 4. X Consider the integral 1 a. Find the trapezoid rule approximations to the integral using 2n subintervals. b. Compute the absolute error for the approximation computed in part a. .....

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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e Consider the integral dx with n = 4. X 1 a. Find the trapezoid rule approximations to the integral using 2n subintervals. b. Compute the absolute error for the approximation computed in part a. ..... a. What is the trapezoid approximation with 2n subintervals? '8 = (Round to six decimal places as needed.)
Transcribed Image Text:e Consider the integral dx with n = 4. X 1 a. Find the trapezoid rule approximations to the integral using 2n subintervals. b. Compute the absolute error for the approximation computed in part a. ..... a. What is the trapezoid approximation with 2n subintervals? '8 = (Round to six decimal places as needed.)
Use a spreadsheet to approximate the following integral using the midpoint rule with each of the specified values of n. Complete parts (a) and (b) below. ..... (a) Sa 4 sin x dx, n= 10 M10 (Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:Use a spreadsheet to approximate the following integral using the midpoint rule with each of the specified values of n. Complete parts (a) and (b) below. ..... (a) Sa 4 sin x dx, n= 10 M10 (Type an integer or decimal rounded to four decimal places as needed.)
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