Introduction
In this Section we will present some methods that can be used to approximate integrals. Attention will be paid to how we ensure that such approximations can be guaranteed to be of a certain level of accuracy.
Prerequisites
- review previous material on integrals and integration
Learning Outcomes
- approximate certain integrals
- be able to ensure that these approximations are of some desired accuracy
Contents
1 Numerical integration2 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