Introduction
One of the important applications of integration is to find the area bounded by a curve. Often such an area can have a physical significance like the work done by a motor, or the distance travelled by a vehicle. In this Section we explain how such an area is calculated.
Prerequisites
- understand integration as the reverse of differentiation
- be able to use a table of integrals
- be able to evaluate definite integrals
- be able to sketch graphs of common functions including polynomials, simple rational functions, exponential functions and trigonometric functions
Learning Outcomes
- find the area bounded by a curve and the -axis
- find the area between two curves
Contents
1 Calculating the area under a curve2 The area bounded by a curve lying above the x-axis
3 The area bounded by a curve, not entirely above the x-axis