1.

\[\int_{{}}^{{}}{\frac{dx}{x[{{(\log x)}^{2}}+4\log x-1]}}=\]

A. \[\frac{1}{2\sqrt{5}}\log \left[ \frac{\log x+2-\sqrt{5}}{\log x+2+\sqrt{5}} \right]+c\]
B. \[\frac{1}{\sqrt{5}}\log \left[ \frac{\log x+2-\sqrt{5}}{\log x+2+\sqrt{5}} \right]+c\]
C. \[\frac{1}{2\sqrt{5}}\log \left[ \frac{\log x+2+\sqrt{5}}{\log x+2-\sqrt{5}} \right]+c\]
D. \[\frac{1}{\sqrt{5}}\log \left[ \frac{\log x+2+\sqrt{5}}{\log x+2-\sqrt{5}} \right]+c\]
Answer» B. \[\frac{1}{\sqrt{5}}\log \left[ \frac{\log x+2-\sqrt{5}}{\log x+2+\sqrt{5}} \right]+c\]


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