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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
2
x
+
1
x
2
+
x
+
1
d
x
\displaystyle \int_{0}^{1} \frac{2x+1}{x^{2}+x+1}\,dx
∫
0
1
x
2
+
x
+
1
2
x
+
1
d
x
. a)
1
2
ln
3
\dfrac{1}{2}\ln 3
2
1
ln
3
b)
ln
3
\ln 3
ln
3
c)
ln
2
\ln 2
ln
2
d)
π
3
3
\dfrac{\pi}{3\sqrt{3}}
3
3
π
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