II. Integrating Improper Rational Functions
Although the method of partial fractions only applies to proper rational functions, an improper rational function can be integrated by performing long division (or synthetic division). If Example 12: Find
1 1 1
Thus,
|
is a rational function where 
and 
are polynomial functions and the degree of 
where 
is a proper rational fraction. Since 
.
By synthetic division, 1 1 0 0 1 
.
.
