Barron's Chapter 5: Antidifferentiation

Antiderivatives: An Overview

Ready to begin your study of antidifferentiation? Don't worry! It will be easy as long as you follow each step. Start with the introduction to the right and then continue with these steps, which can be found in the navigation bar above:

STEP 1: Basic Formulas

STEP 2: Integration by Partial Fractions

STEP 3: Integration by Parts

STEP 4: Applications of Antiderivatives

STEP 5: Review

We have designed this website so that you can go at your own pace. Study the examples in each section and make flash cards for the concepts you have a hard time remembering. We have also carefully chosen review problems (STEP 5) to assess your progress. Good luck and have fun!

The antiderivative, also called the indefinite integral, is a function F(x) whose derivative is f(x). If F(x) is an integral of f(x), then so is F(x)+C, where C is any constant. C is known as the constant of integration. The indefinite integral of f(x) is written as ∫f(x)dx. In other words:

The function f(x) is called the integrand








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