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Mathematics
Problem
Evaluate the improper integral
∫
2
∞
7
(
x
−
1
)
(
x
+
2
)
d
x
\displaystyle \int_{2}^{\infty} \frac{7}{(x-1)(x+2)}\,dx
∫
2
∞
(
x
−
1
)
(
x
+
2
)
7
d
x
. a)
7
3
ln
3
\dfrac{7}{3}\ln 3
3
7
ln
3
b)
−
7
3
ln
4
-\dfrac{7}{3}\ln 4
−
3
7
ln
4
c)
7
3
ln
4
\dfrac{7}{3}\ln 4
3
7
ln
4
d) The integral diverges because the integrand approaches zero too slowly.
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