# 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 $y = {x^3} + 1$, the x-axis and the line $x = 1$.

Since $y = 0$ at x-axis, so for the points of intersection of the curve $y = {x^3} + 1$ with the x-axis, put $y = 0$ this implies that ${x^3} + 1 = 0$

The curve cuts x-axis only at $x = - 1$. The graph of the given function $y = {x^3} + 1$ as shown in the given diagram. The required area of the shaded region.

The required area is given by the integral of the form

Which shows that the area under the curve.