CALCULUS Understanding Its Concepts and Methods

Definite integral

The net area
between the graph of a function *f*
and an interval [*a*, * b*] on
the *x*-axis is the area of the region
that is below the graph of *f*
and above the interval [*a*, * b*],
minus the area of the region that is above the graph of *f* and below the interval [*a*,
* b*].

The net area is the area of the green
regions minus the area of the red regions.The net area function is
drawn in brown.

The net area is called the definite integral of *f* .

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.