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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;

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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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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