1.

\[\int_{{}}^{{}}{\frac{dx}{1+{{e}^{x}}}=}\] [MP PET 1991; Roorkee 1977]

A.            \[\log (1+{{e}^{x}})\]
B.            \[-\log (1+{{e}^{-x}})\]
C.            \[-\log (1-{{e}^{-x}})\]
D.            \[\log ({{e}^{-x}}+{{e}^{-2x}})\]
Answer» C.            \[-\log (1-{{e}^{-x}})\]


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