Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Calculus II
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:

• 8.6.1 Evaluate a definite integral using an integral table
• 8.6.2 Evaluate an indefinite integral using an integral table
• 8.6.3 Perform algebraic manipulations as needed to transform an integral so it fits one of the formulas on an integral table

Terminology

Terms you should be able to define: integral table, CRC tables

Mini-Lectures and Examples

Supplemental Resources (recommended) Download/print: [Download Full INTEGRAL TABLE or Compressed Two-Page Version]
Both versions of a table of integrals from integral-table.com contain over 100 of the most common integrals needed in a Calculus I-II-III course. We will refer to this list in class. Optional alternatives include:

Supplemental Resources (optional)

rev. 2021-02-13