- 03. Evaluate the following integral: (1 – x - 4x + 2x)dx -2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Numerical Integration
F- 03. Evaluate the following integral:
ja-
(1- x – 4x³ + 2x5)dx
a) single application of Simpson's 1/3 rule; (e) multiple-
application Simpson's 1/3 rule, with n=4; (f) single application of Simpson's 3/8 rule; and (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).
Transcribed Image Text:Numerical Integration F- 03. Evaluate the following integral: ja- (1- x – 4x³ + 2x5)dx a) single application of Simpson's 1/3 rule; (e) multiple- application Simpson's 1/3 rule, with n=4; (f) single application of Simpson's 3/8 rule; and (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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