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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
d
x
(
1
+
x
+
x
2
)
\int_{0}^{1} \frac{dx}{(1+x+x^2)}
∫
0
1
(
1
+
x
+
x
2
)
d
x
(1)
π
3
\frac{\pi}{\sqrt{3}}
3
π
(2)
π
3
\frac{\pi}{3}
3
π
(3)
π
3
3
\frac{\pi}{3\sqrt{3}}
3
3
π
(4)
π
6
\frac{\pi}{6}
6
π
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