# limits

## Example 2 | Plane Areas in Rectangular Coordinates

**Example 2**

Find the area bounded by the curve *a*^{2}*y* = *x*^{3}, the *x*-axis and the line *x* = 2*a*.

## Plane Areas in Rectangular Coordinates | Applications of Integration

There are two methods for finding the area bounded by curves in rectangular coordinates. These are...

- by using a horizontal element (called strip) of area, and
- by using a vertical strip of area.

The strip is in the form of a rectangle with area equal to length × width, with width equal to the **differential element**. To find the total area enclosed by specified curves, it is necessary to sum up a series of rectangles defined by the strip.