Concept of antiderivative and indefinite integral
Definition 1. A function is an antiderivative of on an interval if for all in . Theorem 1. If is an antiderivative of on an interval , then is an antiderivative of on the interval if and only if is of the form , for all in where is a constant. The constant is called the constant of integration. The family of functions represented by is the general antiderivative of is the general solution of the differential equation .
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