Topic: Integration Techniques

Subtopic: Integration by Tables

**Overview**

Some integrals are so complicated or time-consuming to integrate algebraically that we resort to simply looking-up their answer in a table of known integrals or evaluating electronically. In this lesson we practice using an integral table to evaluate integrals. Reference books such as the *CRC Standard Mathematical Tables and Formulae* contain literally thousands of integrals that some kind mathematician has evaluated for us so that we can simply apply the formula to find the answer.

**Objectives**

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

- 8.5.1 Evaluate a definite integral using an integral table
- 8.5.2 Evaluate an indefinite integral using an integral table
- 8.5.3 Perform algebraic manipulations as needed to transform an integral so it fits one of the formulas on an integral table

**Terminology**

Define: integral table, CRC book

**Supplemental Resources (recommended)**

In case you don’t have a CRC on your bookshelf, I recommend that you download/print an integral table from integral-table.com: [Download Full INTEGRAL TABLE or Compressed Two-Page Version] Both versions contain over 100 of the most common integrals needed in a Calculus I-II-II course. As optional alternatives:

- Integral Table and Calculus Reference Facts, Dale Hoffman's Contemporary Calculus
- Calculus Cheat Sheet, Paul Dawkins' Online Notes
- The table that is in the appendix of your textbook.

**Supplemental Resources (optional)**

Lesson: Using Tables to Find Antiderivatives, Dale Hoffman's Contemporary Calculus