2) Evaluate the following integral: L(a - x- 4x³ + 2x*) dx (a) analytically (b) single application of the trapezoidal rule (c) composite trapezoidal rule, with n = 2 and 4 (d) single application of Simpson's 1/3 rule

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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Parts C, D, and E ONLY please.

2) Evaluate the following integral:
4
|(1 - x- 4x° + 2x³) dx
(a) analytically
(b) single application of the trapezoidal rule
(c) composite trapezoidal rule, with n = 2 and 4
(d) single application of Simpson's 1/3 rule
(e) Simpson's 3/8 rule
For each of the numerical estimates (b) through (e) determine the percent relative
error based on (a).
Transcribed Image Text:2) Evaluate the following integral: 4 |(1 - x- 4x° + 2x³) dx (a) analytically (b) single application of the trapezoidal rule (c) composite trapezoidal rule, with n = 2 and 4 (d) single application of Simpson's 1/3 rule (e) Simpson's 3/8 rule For each of the numerical estimates (b) through (e) determine the percent relative error based on (a).
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