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Mathematics
Mathematics
Problem
Find an antiderivative of
5
x
3
+
2
x
2
−
x
+
8
x
2
+
4
x
+
3
\displaystyle \frac{5x^{3}+2x^{2}-x+8}{x^{2}+4x+3}
x
2
+
4
x
+
3
5
x
3
+
2
x
2
−
x
+
8
in which all logarithmic terms are combined into a single natural logarithm. Then list any
x
x
x
-values that must be excluded from the domain of your antiderivative.
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