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.

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Chapter2: Second-order Linear Odes
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'B' only. 

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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