Use partial fraction decomposition to evaluate the integral:
∫
−
3
x
2
+
12
x
−
7
36
x
3
−
75
x
2
+
52
x
−
12
d
x
\displaystyle \int\frac{{-{3}{x}^{{2}}+{12}{x}-{7}}}{{{36}{x}^{{3}}-{75}{x}^{{2}}+{52}{x}-{12}}}{\left.{d}{x}\right.}
∫
36
x
3
−
75
x
2
+
52
x
−
12
−
3
x
2
+
12
x
−
7
d
x
=
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Question 6
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