While derivatives break down motion and change into their smallest parts, antiderivatives do the opposite, they build up the original function from its changes.

The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions. As the name suggests, antidifferentiation is the reverse …

In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral[Note 1] of a function f is a differentiable function F whose derivative is equal to the …

Nov 10, 2020 · For now, let’s look at the terminology and notation for antiderivatives, and determine the antiderivatives for several types of functions. We examine various techniques …

Jul 23, 2025 · An antiderivative is a function that reverses the process of differentiation. It is also known as the indefinite integral. If F (x) is the antiderivative of f (x), it means that: In other …

Jun 6, 2025 · However, it is helpful to connect antiderivatives to differentiation through antiderivative rules. According to the relationship known as FUN-6.C.1, the derivative of an …

While derivatives provide the rate of change of a function, antiderivatives help us recover the original function from its derivative. This concept is crucial as we progress in calculus.

Antiderivatives are the opposite of derivatives. An antiderivative is a function that reverses what the derivative does. One function has many antiderivatives, but they all take the form of a …

The antiderivative of a sum of several terms is the sum of their antiderivatives. This follows from the fact that the derivative of a sum is the sum of the derivatives of the terms. And similarly, …

Antiderivatives are usually known as indefinite integrals. However, using the Fundamental Theorem of Calculus antiderivatives can also be related to definite integrals. In this article, we …