# The Area Bounded by the Curve y=x^3+1 and Line x=1

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

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

The curve cuts the x-axis only at . The graph of the function is shown in the given diagram. The required area of the shaded region.

The required area is given by the integral of the form