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1. Evaluate the following integral ľ a. Analytically b. Numerically using: 20 20x7 + 5x5 + 15x³ + 20x dx i. A single application of trapezoidal rule. ii. Composite trapezoidal rule with n=4. Composite Simpsons' 1/3 rule with n=4 iii.

1. Evaluate the following integral ľ a. Analytically b. Numerically using: 20 20x7 + 5x5 + 15x³ + 20x dx i. A single application of trapezoidal rule. ii. Composite trapezoidal rule with n=4. Composite Simpsons' 1/3 rule with n=4 iii.

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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1. Evaluate the following integral a. Analytically b. Numerically using: 20 20x² + 5x5 + 15x³ + 20x dx i. A single application of trapezoidal rule. ii. Composite trapezoidal rule with n=4. iii. Composite Simpsons' 1/3 rule with n=4 iv. Multiple Simpsons' rules with n=5 Compute the true error for all the numerical estimates using the analytical value evaluated in part a.
Transcribed Image Text:1. Evaluate the following integral a. Analytically b. Numerically using: 20 20x² + 5x5 + 15x³ + 20x dx i. A single application of trapezoidal rule. ii. Composite trapezoidal rule with n=4. iii. Composite Simpsons' 1/3 rule with n=4 iv. Multiple Simpsons' rules with n=5 Compute the true error for all the numerical estimates using the analytical value evaluated in part a.
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