Use partial fraction decomposition to evaluate the integral:
∫
99
x
3
+
38
x
2
+
46
x
+
10
99
x
3
+
18
x
2
+
22
x
+
4
d
x
\displaystyle \int\frac{{{99}{x}^{{3}}+{38}{x}^{{2}}+{46}{x}+{10}}}{{{99}{x}^{{3}}+{18}{x}^{{2}}+{22}{x}+{4}}}{\left.{d}{x}\right.}
∫
99
x
3
+
18
x
2
+
22
x
+
4
99
x
3
+
38
x
2
+
46
x
+
10
d
x
=
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