Integration by partial fractions evaluates a rational function integral by decomposing the integrand
into simpler fractions. After polynomial division
when necessary, a proper rational function 
,
for which 
, is written as a sum of terms associated with the
linear factors and quadratic irreducible polynomials that occur as factors
of 
.
For example,
 |
This formula holds for 
. The resulting terms integrate to combinations of logarithms,
rational functions, and inverse
tangent functions.
