Mark $(\sqrt{ })$ against the correct answer in each of the following:
$\int \frac{\log x}{x} d x=?$
A. $\frac{1}{2}(\log x)^{2}+C$
B. $-\frac{1}{2}(\log x)^{2}+C$
C. $\frac{2}{x^{2}}+C$
D. $\frac{-2}{x^{2}}+C$
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