**Area Using Parametric EquationsParametric Integral Formula**

The area between the *x*-axis and the graph of *x* = *x*(*t*), *y* = *y*(*t*) 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 *x* = *x*(*t*), *y* = *y*(*t*) 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: | Find the area of the between the |

**See also**

Parametrize, parametric equations, area under a curve, area using polar coordinates

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