\[\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}dx=}\] [MP PET 1997; UPSEAT 2001; RPET 2002]

\[\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}dx=}\] [MP PET 1997;

1.	\[\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}dx=}\] [MP PET 1997; UPSEAT 2001; RPET 2002]
A.	\[\frac{{{e}^{-x}}}{1+x}+c\]
B.	\[-\frac{{{e}^{-x}}}{1+x}+c\]
C.	\[\frac{{{e}^{x}}}{1+x}+c\]
D.	\[-\frac{{{e}^{x}}}{1+x}+c\]
Answer» D. \[-\frac{{{e}^{x}}}{1+x}+c\]

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\[\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}dx=}\] [MP PET 1997; UPSEAT 2001; RPET 2002]

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