Original
This leads to the following definition.
{{CMD_64}}{{CMD_65}}{{CMD_66}}
Let {{MATH_67}} be a function which is continuous on the interval {{MATH_68}}. We define the {{CMD_69}} of {{MATH_70}} on {{MATH_71}} by
{{MATH_72}}
{{CMD_73}}
The definite integral is a number that gives the net area of the region between the curve {{MATH_74}} and the {{MATH_75}}-axis on the interval {{MATH_76}}.
{{CMD_77}} The graph a function {{MATH_78}} on the interval {{MATH_79}} is given in the figure. The areas of four regions that lie either above or below the {{MATH_80}}-axis are labeled in the figure.