What is \[\int{\frac{\log x}{{{(1+\log \,x)}^{2}}}dx}\] equal to?

1.	What is \[\int{\frac{\log x}{{{(1+\log \,x)}^{2}}}dx}\] equal to?
A.	\[\frac{1}{{{\left( 1+\log x \right)}^{3}}}+c\]
B.	\[\frac{1}{{{\left( 1+\log x \right)}^{2}}}+c\]
C.	\[\frac{x}{\left( 1+\log x \right)}+c\]
D.	\[\frac{x}{{{\left( 1+\log x \right)}^{2}}}+c\] Where c is a constant.
Answer» D. \[\frac{x}{{{\left( 1+\log x \right)}^{2}}}+c\] Where c is a constant.

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What is \[\int{\frac{\log x}{{{(1+\log \,x)}^{2}}}dx}\] equal to?

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