The most difficult part of using partial fractions to integrate a function with a general denominator such as:
∫
d
x
a
x
5
+
b
x
4
+
c
x
3
+
d
x
2
+
e
x
+
f
\displaystyle \int\frac{{\left.{d}{x}\right.}}{{{a}{x}^{{5}}+{b}{x}^{{4}}+{c}{x}^{{3}}+{\left.{d}{x}\right.}^{{2}}+{e}{x}+{f}}}
∫
a
x
5
+
b
x
4
+
c
x
3
+
d
x
2
+
e
x
+
f
d
x
is:
integrating the expanded function.
factoring the denominator.
finding the constants for each of the numerators in the partial fraction decomposition.
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