## The Indefinite Integral

The diagram shows the graph of

\[y=4-x^2\]

.The indefinite intefgral is

\[\int x^2 dx = \frac{x^3}{3}+c\]

.The constant

\[c\]

is called the constant of integration and reflects the fact that any constant differentiates to give zero. Remember that integration and differentiation and differentiation sre inverse processes.See also The Definite Integral.