Indefinite Integrals
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
   Some Important Integrals

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

Clich here to go to Definite Inegrals


Clich here to go to Differential Equations




Integration of Partial Fractions
Key Topics Remaining:   Integrals Involving Rational Exponents » Extended List of Common Integrals
 

Integration of Partial Fractions of the Form  

We attach importance to the partial fractions because any proper fraction can be decomposed into a sum of partial fractions.

The result of integration of a partial fraction    is immediate:

,

      ( ).


Examples
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