This interactive figure illustrates the geometric interpretation of the definite integral of a continuous function [math]f[/math] integrated over [math][a,b][/math]. [br][br][color=#1e84cc]Blue areas are positive areas.[/color] [color=#cc0000]Red areas are negative areas.[/color] Note the value of the entire definite integral is the sum of the [color=#cc0000]red area[/color] and the [color=#1e84cc]blue area. [/color]

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]