**Area under a Curve**

The area between the graph of *y* = *f*(*x*) and the *x*-axis is given by the definite integral below. This formula gives a positive result for a graph above the *x*-axis, and a negative result for a graph below the *x*-axis.

Note: If the graph of *y* = *f*(*x*) is partly above and partly below the *x*-axis, the formula given below generates the net area. That is, the area above the axis minus the area below the axis.

Formula: | |

Example 1: | Find the area between |

Example 2: | Find the net area between |

**See also**

Area between curves, area using parametric equations, area using polar coordinates

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