3.1.1: Basic Antidifferentiation Rules
Take notes as you watch these videos. Listen to the presentations carefully until you are able to understand the basic rules of an antiderivative (indefinite integral).
Read the material on indefinite integrals. This reading discusses eight basic indefinite integrals using the rules of derivatives to explain each step. Then, complete review questions 1-10 toward the bottom of the page. These exercises will provide you with the opportunity to find antiderivatives as well as indefinite integrals of various functions. The solutions to these problems are located here.
Complete exercises 1-5 and 10-12. These exercises will provide you with the opportunity to apply basic rules of integration. The solution for each problem can be found by clicking on the gray triangle beside each problem.
Read this material on describing the indefinite integral. Also run each of the applets to see examples. This literacy component will allow you to explore a further understanding of the indefinite integral.