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Evaluate the integral of the given equation below (a) Analytically: (b) Single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) Single application of Simpson's 1/3 rule:(e) multiple-application Simpson's 1/3 rule, with n = 3; (f) Single application of Simpson's 3/8 rule; (e) For each of the numerical estimates (b) through (f), determine the percent relative error based on (a). 7/2 (8 + 4 cos x) dx 10

Evaluate the integral of the given equation below (a) Analytically: (b) Single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) Single application of Simpson's 1/3 rule:(e) multiple-application Simpson's 1/3 rule, with n = 3; (f) Single application of Simpson's 3/8 rule; (e) For each of the numerical estimates (b) through (f), determine the percent relative error based on (a). 7/2 (8 + 4 cos x) dx 10

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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Evaluate the integral of the given equation below (a) Analytically; (b) Single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) Single application of Simpson's 1/3 rule: (e) multiple-application Simpson's 1/3 rule, with n = 3; (f) Single application of Simpson's 3/8 rule; (e) For each of the numerical estimates (b) through (f), determine the percent relative error based on (a). x/2 (8 + 4 cos x) dx
Transcribed Image Text:Evaluate the integral of the given equation below (a) Analytically; (b) Single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) Single application of Simpson's 1/3 rule: (e) multiple-application Simpson's 1/3 rule, with n = 3; (f) Single application of Simpson's 3/8 rule; (e) For each of the numerical estimates (b) through (f), determine the percent relative error based on (a). x/2 (8 + 4 cos x) dx
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