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Antiderivative

Definition

An antiderivative is essentially the reverse process of differentiation. It refers to finding a function whose derivative matches a given function.

Analogy

Think of differentiation as taking slices from a cake, while finding an antiderivative is like putting those slices back together to recreate the whole cake.

Related terms

Indefinite Integral (General Antiderivative): This refers to finding the antiderivative of a function without specifying any bounds. It results in a family of functions.

Initial Condition: When finding an antiderivative, an initial condition is often given to determine the specific function within the family of antiderivatives.

Fundamental Theorem of Calculus: This theorem establishes the connection between differentiation and integration, stating that taking an antiderivative and evaluating a definite integral are inverse operations.