Use partial fraction decomposition to evaluate the integral:
∫
56
x
3
+
621
x
2
−
674
x
+
30
7
x
2
+
82
x
−
24
d
x
\displaystyle \int\frac{{{56}{x}^{{3}}+{621}{x}^{{2}}-{674}{x}+{30}}}{{{7}{x}^{{2}}+{82}{x}-{24}}}{\left.{d}{x}\right.}
∫
7
x
2
+
82
x
−
24
56
x
3
+
621
x
2
−
674
x
+
30
d
x
=
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