Constant of integration
In calculus, the constant of integration, often denoted by C {\displaystyle C} (or c {\displaystyle c} ), is a constant term added to an antiderivative of a function f ( x ) {\displaystyle f(x)} to indicate that the indefinite integral of f ( x ) {\displaystyle f(x)} (i.e., the set of all antiderivatives of f ( x ) {\displaystyle f(x)} ), on a connected domain, is only defined up to an additive constant. This constant expresses an ambiguity inherent in the construction of antiderivatives.