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Mathematics
Mathematics
Problem
Estimate, to the nearest hundredth, the value of
∫
4
8
3
x
+
2
x
2
−
x
−
6
d
x
\displaystyle \int_{4}^{8} \frac{3x+2}{x^{2}-x-6}\,dx
∫
4
8
x
2
−
x
−
6
3
x
+
2
d
x
. a)
2.37
2.37
2.37
b)
5.38
5.38
5.38
c)
3.95
3.95
3.95
d) The integral diverges because of a vertical asymptote on
(
4
,
8
)
(4,8)
(
4
,
8
)
.
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