1.

What is the value of the integral \[I=\int{\frac{dx}{(1+{{e}^{x}})\,\,(1+{{e}^{-x}})}}\] [DCE 1999]

A.            \[\frac{-1}{1+{{e}^{x}}}\]
B.            \[\frac{{{e}^{x}}}{1+{{e}^{x}}}\]
C.            \[\frac{1}{1+{{e}^{x}}}\]
D.   None of these
Answer» B.            \[\frac{{{e}^{x}}}{1+{{e}^{x}}}\]


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