F- 03. Evaluate the following integrat (1 – x – 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 1/3 rule, with n=4; (t) sinale applicaticntCipeesielo nle ond (g) multiple-application Simpson's 3/8 rule, with n=5. For each of the numerical estimates (b through (g), determine the percent relative error based on (a).

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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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