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1. Evaluate the following integral: (1-e-²x) dx (a) analytically;

1. Evaluate the following integral: (1-e-²x) dx (a) analytically;

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. Evaluate the following integral: (1-e-²x) dx (a) analytically; Use Google sheet for the following: (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 = 4 and 8; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule (1/3 and 3/8), with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a).
Transcribed Image Text:1. Evaluate the following integral: (1-e-²x) dx (a) analytically; Use Google sheet for the following: (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 = 4 and 8; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule (1/3 and 3/8), with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a).
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