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Problem #3: 19.2 Evaluate the following integral: S (-e) dx please solve part e,f,g, and another parts (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) composite Simpson's 1/3 rule with n = 4, (f) Simpson's 3/8 rule, and (g) com- posite Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the true percent relative error based on (a).

Problem #3: 19.2 Evaluate the following integral: S (-e) dx please solve part e,f,g, and another parts (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) composite Simpson's 1/3 rule with n = 4, (f) Simpson's 3/8 rule, and (g) com- posite Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the true percent relative error based on (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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Problem # 3: 19.2 Evaluate the following integral: (1-ex) dx please solve part e,f,g, and another parts (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) composite Simpson's 1/3 rule with n = 4, (f) Simpson's 3/8 rule, and (g) com- posite Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the true percent relative error based on (a).
Transcribed Image Text:Problem # 3: 19.2 Evaluate the following integral: (1-ex) dx please solve part e,f,g, and another parts (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) composite Simpson's 1/3 rule with n = 4, (f) Simpson's 3/8 rule, and (g) com- posite Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the true percent relative error based on (a).
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