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F- 03. Evaluate the following integrat ja--a* – 4x³ + 2x³)dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n=2 and 4; (a) single application of Simpson's 1/3 rule; (e) multiple- opplication Simpson's /3 rule, with n=4; (t) single applicaticncipesielo nale and (g) multiple-application Simpson's 3/8 rule, with n=5. For each of the numerical estimotes (b) through (g), determine the percent relative error based on (a).

F- 03. Evaluate the following integrat ja--a* – 4x³ + 2x³)dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n=2 and 4; (a) single application of Simpson's 1/3 rule; (e) multiple- opplication Simpson's /3 rule, with n=4; (t) single applicaticncipesielo nale and (g) multiple-application Simpson's 3/8 rule, with n=5. For each of the numerical estimotes (b) through (g), determine the percent relative error based on (a).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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F- 03. Evaluate the following integra: ja--«* (1 – x – 4x³ + 2x5)dx (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- opplication Simpson's /3. rule, with n=4; (fO) single applicaticaCinapaanialo nile and (g) multiple-application Simpson's 3/8 rule, with n=5. For each of the numerical estimates through (g), determine the percent relative error based on (a).
Transcribed Image Text:F- 03. Evaluate the following integra: ja--«* (1 – x – 4x³ + 2x5)dx (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- opplication Simpson's /3. rule, with n=4; (fO) single applicaticaCinapaanialo nile and (g) multiple-application Simpson's 3/8 rule, with n=5. For each of the numerical estimates through (g), determine the percent relative error based on (a).
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