Dr. Mubashir Alam King Saud University

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

Taylor’s Polynomial

Trapezoid Example:5.1.1

Example:5.1.2

x i are called node points

- 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.

Example: π/4