Use partial fraction decomposition to evaluate the integral:
∫
32
x
2
−
336
x
+
165
9
x
3
−
154
x
2
+
585
x
+
648
d
x
\displaystyle \int\frac{{{32}{x}^{{2}}-{336}{x}+{165}}}{{{9}{x}^{{3}}-{154}{x}^{{2}}+{585}{x}+{648}}}{\left.{d}{x}\right.}
∫
9
x
3
−
154
x
2
+
585
x
+
648
32
x
2
−
336
x
+
165
d
x
=
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