1. Dr. Mubashir Alam King Saud University

2. Outline Numerical Integration Trapezoidal and Simpson’s Rules (5.1)

6. Taylor’s Polynomial

9. Trapezoid Example:5.1.1

11. Example:5.1.2

13. x i are called node points

14. - If ‘n’ is doubled repeatedly, then the function values used in each T 2n (f) will include all the earlier function values used in preceding T n (f). - Thus doubling of ‘n’ will ensure that all previously computed information is used in new calculation. - Less computationally expensive.

16. Example: 5.1.4 π/4

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