Abstract
The ability to calculate the area under a graph is one of the most important discoveries of integral calculus. Prior to calculus, area was computed by dividing a zone into very small strips and summing the individual areas. The accuracy of the result is improved simply by making the strips smaller and smaller, taking the result towards some limiting value. In this chapter I show how integral calculus provides a way to compute the area between a function’s graph and the x- and y-axis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Vince, J. (2013). Area Under a Graph. In: Calculus for Computer Graphics. Springer, London. https://doi.org/10.1007/978-1-4471-5466-2_8
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5466-2_8
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5465-5
Online ISBN: 978-1-4471-5466-2
eBook Packages: Computer ScienceComputer Science (R0)