Use partial fraction decomposition to evaluate the integral:
∫
19
x
2
−
17
x
+
25
28
x
3
−
40
x
2
+
35
x
−
50
d
x
\displaystyle \int\frac{{{19}{x}^{{2}}-{17}{x}+{25}}}{{{28}{x}^{{3}}-{40}{x}^{{2}}+{35}{x}-{50}}}{\left.{d}{x}\right.}
∫
28
x
3
−
40
x
2
+
35
x
−
50
19
x
2
−
17
x
+
25
d
x
=
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\displaystyle