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Mathematics
Mathematics
Problem
Compute
∫
x
4
−
2
x
3
+
x
2
−
7
x
+
10
x
2
−
x
−
6
d
x
\displaystyle \int \frac{x^{4}-2x^{3}+x^{2}-7x+10}{x^{2}-x-6}\,dx
∫
x
2
−
x
−
6
x
4
−
2
x
3
+
x
2
−
7
x
+
10
d
x
. Present your result as
P
(
x
)
+
A
ln
∣
x
−
3
∣
+
B
ln
∣
x
+
2
∣
P(x)+A\ln|x-3|+B\ln|x+2|
P
(
x
)
+
A
ln
∣
x
−
3∣
+
B
ln
∣
x
+
2∣
and state the numerical values of
A
A
A
and
B
B
B
.
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