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

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

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

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