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

1.	\[\int_{{}}^{{}}{\frac{{{e}^{x}}}{(1+{{e}^{x}})(2+{{e}^{x}})}dx=}\]
A.	\[\log [(1+{{e}^{x}})(2+{{e}^{x}})]+c\]
B.	\[\log \left[ \frac{1+{{e}^{x}}}{2+{{e}^{x}}} \right]+c\]
C.	\[\log [(1+{{e}^{x}})\sqrt{2+{{e}^{x}}}]+c\]
D.	None of these
Answer» C. \[\log [(1+{{e}^{x}})\sqrt{2+{{e}^{x}}}]+c\]

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

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