exercise no. 8 - numerical integration

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NUMERICAL METHODS EXERCISE NO. 8 Given: Where: u= last two digits of your student number ÷ 100 Solve using: A. Trapezoidal Rule with 10 equal intervals; B. Simpson’s 1/3 Rule with 10 equal intervals; C. Simpson’s 3/8 Rule; D. Romberg Integration; E. Two-point Gauss- Legendre Formula; and F. Gaussian Integration (n = 5)

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Numerical MethodsNumerical Integration

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Page 1: Exercise No. 8 - Numerical Integration

NUMERICAL METHODS EXERCISE NO. 8

Given:

� 𝒅𝒙

𝒆𝒙 − 𝒆−𝒙𝒍𝒏 𝟑𝒖

𝒍𝒏 𝟐𝒖

Where: u= last two digits of your student number ÷ 100

Solve using:

A. Trapezoidal Rule with 10 equal intervals; B. Simpson’s 1/3 Rule with 10 equal intervals; C. Simpson’s 3/8 Rule; D. Romberg Integration; E. Two-point Gauss- Legendre Formula; and F. Gaussian Integration (n = 5)