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9. Integration Using Tables of Integrals

by M. Bourne

A lot of the integrals in this section can easily be done using a Table of Integrals. (Of course, use a computer to do integrals whenever you can!)

Points to note:

• You must understand the substitutions u and du
• Make sure you use the correct formula!!

See: Table of Common Integrals

Here is the same Table of Integrals using Scientific Notebook
(This is a .TEX file. Info: )

You can find extensive tables of integrals in most calculus textbooks.

Example using Table of Integrals:

Find the following integral, using table of integrals:

Answer

Scientific Notebook solution (info: )

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Chapter Contents

• Methods of Integration
• 1. Integration: The General Power Formula
• 2. Integration: The Basic Logarithmic Form
• 3. Integration: The Exponential Form
• 4. Integration: The Basic Trigonometric Forms
• 5. Integration: Other Trigonometric Forms
• 6. Integration: Inverse Trigonometric Forms
• 7. Integration by Parts
• 8. Integration by Trigonometric Substitution
• 9. Integration by Use of Tables
• Table of Common Integrals
• 10. Integration by Reduction Formulae
• 11. Integration by Partial Fractions

• Comments, Questions?

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