Antidifferentiation and Indefinite Integrals
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Lesson Description:
Indefinite integrals. The power rule for antidifferentiation.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Additional Resources:
- Indefinite Integrals - Practice with Indefinite Integrals.
- Mean-Value Theorems for Integrals; Average Values - Practice with Mean-Value Theorems for Integrals; Average Values.
- Special Functions - Integrals of some special functions.
- Table of Integrals - Table of integrals of a bunch of different functions.
Questions answered by this video:
- What is antidifferentiation?
- What is an indefinite integral?
- How do you find an indefinite integral?
- What is an antiderivative?
- Why do you have to add constant C when finding an integral?
- What is the power rule for antiderivatives?
- What are the linearity properties for antiderivatives?
- What is the integral of trig functions?
- How do you find the integral of a square root function?
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Staff Review
The purpose of this lesson is to learn how to find an antiderivative. This is also known as an indefinite integral of a function. Differentiation, indefinite integration, and definite integration are all compared side by side for several functions. Several examples are done in this lesson, including some more complicated trig and square root functions in which the chain rule comes into play, and you have to compensate for this by altering the integral. -
