Use partial fraction decomposition to evaluate the integral:
∫
−
29
z
2
+
120
z
−
60
7
z
3
−
52
z
2
+
60
z
d
z
\displaystyle \int\frac{{-{29}{z}^{{2}}+{120}{z}-{60}}}{{{7}{z}^{{3}}-{52}{z}^{{2}}+{60}{z}}}{\left.{d}{z}\right.}
∫
7
z
3
−
52
z
2
+
60
z
−
29
z
2
+
120
z
−
60
d
z
=
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\displaystyle