Since the derivative of a constant is zero, any constant may be added to an indefinite integral (i.e.,
antiderivative) and will still correspond to the same integral. Another way of stating
this is that the antiderivative is a nonunique inverse of the derivative. 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.