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Mathematics
Mathematics
Problem
Find the exact value of
∫
0
1
4
x
+
1
x
2
+
5
x
+
6
d
x
\displaystyle \int_{0}^{1} \frac{4x+1}{x^{2}+5x+6}\,dx
∫
0
1
x
2
+
5
x
+
6
4
x
+
1
d
x
. a)
29
ln
3
−
18
ln
2
29\ln 3-18\ln 2
29
ln
3
−
18
ln
2
b)
29
ln
2
−
18
ln
3
29\ln 2-18\ln 3
29
ln
2
−
18
ln
3
c)
22
ln
2
−
7
ln
3
22\ln 2-7\ln 3
22
ln
2
−
7
ln
3
d)
10
ln
3
−
13
ln
2
10\ln 3-13\ln 2
10
ln
3
−
13
ln
2
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