# 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 x-axis, so for the points of intersection of the curve at x-axis, put this implies that

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

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

Which shows that the area under the curve.