Course: Calculus I
Topic: Antiderivatives
Subtopic: Antiderivatives & Indefinite Integrals


Differentiating takes a function to its derivative. Antidifferentiating reverses this process taking a derivative back to its original function. The result is an antiderivative. The process of finding an antiderivative is called integrating. As differentiating is the major focus of Calculus I, integrating is the major focus of Calculus II, but introduced in Calc I.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: antiderivative, integral, integral sign, arbitrary constant, differential equation (DE), initial condition

Mini-Lectures and Examples

STUDY: Optimization Applications & Antiderivatives

Supplemental Resources (optional)

Video: Antidifferentiation and Indefinite Integrals, Selwyn Hollis' Video Calculus

Lesson: Introduction to Integrals, Dale Hoffman's Contemporary Calculus

rev. 2020-11-27