Home >> PURE MATHS, Integration, integration of algebraic fractions

Before beginning this topic it is advised that you read and understand 'partial fractions' in the algebra section first. The examples given here assume knowledge of this.

Denominator 1st degree(x)

Example #1

    find                   

                using     

                implies     

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Denominator 2nd degree(x²)

Example #2

    find     

using Partial Fractions

making                                 

making                                        

substituting for A and B                                            

integrating both sides                                                   

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Denominator 3rd degree(x³)

Example #3

find     

using Partial Fractions

making                                             

making                                                

equating coefficients of                                      

substituting for A, B and C                                          

integrating both sides                                                   

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