A constant of integration is an arbitrary constant added to an antiderivative. Since the derivative of a constant is zero, the resulting function remains an antiderivative of the same integrand. For this reason, indefinite integrals are often written in the form
 |
where 
is an arbitrary constant known as the constant of integration.
The Wolfram Language returns indefinite integrals without constants of integration. This means that, depending on the form
used for the integrand, antiderivatives 
and 
can be obtained that differ by a constant.
