# The Area Bounded by the Curve y=x^3-x and the x-axis

In this tutorial we shall find the area bounded by the curve and the x-axis.

Since at the x-axis, for the points of intersection of the curve at x-axis, put . This implies that

The curve cuts the x-axis only at , as shown by the graph of the given function .

It is also clear from the graph above that for and for , so the required area is split into two regions and is given by