Washington State Board for Community and Technical Colleges: Dale Hoffman's "Contemporary Calculus, Section 5.7: Finding Antiderivatives"

Read this section on pages 1-9 to see how one can (sometimes) find an antiderivative. In particular, we will discuss the change of variable technique. Change of variable, also called substitution or u-substitution (for the most commonly-used variable), is a powerful technique that you will use time and again in integration. It allows you to simplify a complicated function to show how basic rules of integration apply to the function. Work through practice problems 1-4. For solutions to these problems, see pages 12-13.