Introduction

When a function $f\left(x\right)$ is known we can differentiate it to obtain its derivative $\frac{df}{dx}$ . The reverse process is to obtain the function $f\left(x\right)$ from knowledge of its derivative. This process is called integration . Applications of integration are numerous and some of these will be explored in subsequent Sections. First, what is important is to practise basic techniques and learn a variety of methods for integrating functions.

Prerequisites

• thoroughly understand the various techniques of differentiation

Learning Outcomes

• evaluate simple integrals by reversing the process of differentiation
• use a table of integrals
• explain the need for a constant of integration when finding indefinite integrals
• use the rules for finding integrals of sums of functions and constant multiples of functions