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Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
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Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
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Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
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Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
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Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
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15.Functions of Several Variables
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S = contains supplemental resources
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:

• 8.5.1 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:

Supplemental Resources (optional)