Lec 7 - Partial fractions continued

    Important Case 1:

     

     

     

     

    Important Case 2:

     

     

     

     

    Example

     

     

    1. We use long division to get a proper rational function.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    1. Integrate

     

     

     

     

    Important Case 3:

     

     

     

     

     

    The form we try is

     

    Example

     

     

    (proper form)

     

     

    This is already in reduced form

     

     

    (complete the square)

     

     

    Then we can evaluate2

     

 

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