1. 1 Numerical Analysis Lecture 12 Numerical Integration Dr. Nader Okasha

2. Integration 2

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4. 4 The basic method of numerical integration is called: Numerical Quadrature Instead of integrating the function, we integrate an approximate polynomial of this function.

5. Trapezoidal Rule: 5 Lagrange interpolation is used with two points to find the first degree polynomial

6. Trapezoidal Rule: 6

7. Simpson’s Rule: 7 If an additional point in the interval [a, b] can be used, a higher order polynomial can be used to approximate the function for numerical integration purposes.

8. Simpson’s Rule: 8

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