An 'anti-derivative' of a function that covers all the possibilities of an unknown constant 'C' is referred to as an INDEFINITE INTEGERAL. In other words, the evaluation of these types of integrals describe ALL the possible anti-derivatives by leaving the constant 'C' unknown. These evaluations describe an infinite number of possibilities as the constant 'C' can take on any value (meaning the graphs of the evaluations vary only in the vertical position. This page provides the basic identities and rules for integration.
Basic Rules for Integration