Mark $(\sqrt{ })$ against the correct answer in the following:
$\int_{0}^{1} \frac{d x}{\left(1+x+x^{2}\right)}=?$
A. $\frac{\pi}{\sqrt{3}}$
B. $\frac{\pi}{3}$
C. $\frac{\pi}{3 \sqrt{3}}$
D. none of these
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