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Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 9 (3x²-2x) dx = 648

Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 9 (3x²-2x) dx = 648

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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4 H6 32 M(₂) T(a) Absolute Error in Abscute error in M (0) I (a)
Transcribed Image Text:4 H6 32 M(₂) T(a) Absolute Error in Abscute error in M (0) I (a)
Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 9 [(32²-20) (3x² - 2x) dx = 648 Complete the following table.
Transcribed Image Text:Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 9 [(32²-20) (3x² - 2x) dx = 648 Complete the following table.
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