\[\int{\frac{(1+x)}{x{{(1+x{{e}^{x}})}^{2}}}dx}\] is

1.	\[\int{\frac{(1+x)}{x{{(1+x{{e}^{x}})}^{2}}}dx}\] is
A.	\[\ln \,\,\left\| \frac{x{{e}^{x}}}{1+x{{e}^{x}}} \right\|+\frac{1}{1+x{{e}^{x}}}+C\]
B.	\[(1+x{{e}^{x}})+ln\left\| \frac{x{{e}^{x}}}{1+x{{e}^{x}}} \right\|+C\]
C.	\[\frac{1}{1+x{{e}^{x}}}+ln\left\| x{{e}^{x}}(1+x{{e}^{x}}) \right\|+C\]
D.	None of these
Answer» B. \[(1+x{{e}^{x}})+ln\left\| \frac{x{{e}^{x}}}{1+x{{e}^{x}}} \right\|+C\]

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\[\int{\frac{(1+x)}{x{{(1+x{{e}^{x}})}^{2}}}dx}\] is

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