| Basic Conceptions |
Primitives and Indefinite Integrals
Properties of Integrals
| Properties: Explanatory Comments |
Transformation of a Table of Common Derivatives to a Table of Integrals
A Table of Common Integrals
| Integration |
Techniques of Integration
| Integration by Substitution | ||
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Integration by Parts |
| Integration of Rational Functions |
Basic Conceptions
Integration of Partial Fractions
Partial Fraction Decomposition
| Integration of Irrational Expressions |
Integrals Involving Rational Exponents
Integrals Involving Radicals
| Summary |
Extended List of Common Integrals
| A Table of Common Integrals |
| Key Topics Remaining: Techniques of Integration » Integration of Rational Functions » Integrals Involving Rational Exponents &» Extended List of Common Integrals |
| Derivatives |
Integrals |
Limitations |
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In order to solve successfully integration problems, it is necessary to know the properties of integrals, the table of common integrals, and the techniques used for manipulation with integrals. The knowledge of the formulas develops the ability to recognize them.
1 Note that
a primitive of 
is 
, but not ln x.
Really, if x >
0, then 
and 
.
If x < 0,
then 
and 
.
Therefore, is a primitive of for any 
.
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