Constant of Integration

Definition

The constant of integration is an arbitrary constant added when finding indefinite integrals or antiderivatives. It accounts for the fact that there are infinitely many functions with the same derivative.

Related terms

Definite Integral:

A definite integral represents the signed area under a curve between two given limits. It does not include a constant of integration.

Integration by Parts:

Integration by parts is a technique used to evaluate integrals by choosing which part of the integrand to differentiate and which part to integrate.

Arbitrary Constant: An arbitrary constant is any constant value that can be chosen freely when solving an equation or finding an antiderivative.