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

1.	\[\int_{{}}^{{}}{\frac{\log x}{{{(1+\log x)}^{2}}}dx=}\]
A.	\[\frac{1}{1+\log x}+c\]
B.	\[\frac{x}{{{(1+\log x)}^{2}}}+c\]
C.	\[\frac{x}{1+\log x}+c\]
D.	\[\frac{1}{{{(1+\log x)}^{2}}}+c\]
Answer» D. \[\frac{1}{{{(1+\log x)}^{2}}}+c\]

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

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