1 Numerical integration

2 The simple trapezium rule

  2.1 How good is the simple trapezium rule?

3 The composite trapezium rule

  3.1 How good is the composite trapezium rule?

4 Other methods for approximating integrals

  4.1 Simpson’s rule

  4.2 How good is the composite Simpson’s rule?

5 Engineering Example 1

  5.1 Plastic bottle design