Use partial fraction decomposition to evaluate the integral:
∫
32
z
2
+
344
z
+
508
7
z
3
+
143
z
2
+
760
z
+
300
d
z
\displaystyle \int\frac{{{32}{z}^{{2}}+{344}{z}+{508}}}{{{7}{z}^{{3}}+{143}{z}^{{2}}+{760}{z}+{300}}}{\left.{d}{z}\right.}
∫
7
z
3
+
143
z
2
+
760
z
+
300
32
z
2
+
344
z
+
508
d
z
=
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\displaystyle