Use partial fraction decomposition to evaluate the integral:
∫
149
r
2
+
200
r
+
36
45
r
3
+
64
r
2
+
12
r
d
r
\displaystyle \int\frac{{{149}{r}^{{2}}+{200}{r}+{36}}}{{{45}{r}^{{3}}+{64}{r}^{{2}}+{12}{r}}}{d}{r}
∫
45
r
3
+
64
r
2
+
12
r
149
r
2
+
200
r
+
36
d
r
=
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