1.

The value of \(\smallint \frac{{dx}}{{\left( {1 + {e^x}} \right)\left( {1 + {e^{ - x}}} \right)}}\) is equal to:

A. \(- \frac{1}{{\left( {1 + {e^{ - x}}} \right)}} + c\)
B. \(- \frac{1}{{\left( {1 + {e^x}} \right)}} + c\)
C. \(\frac{1}{{\left( {1 + {e^x}} \right)}} + c\)
D. \(\frac{1}{{\left( {1 + {e^{ - x}}} \right)}} + c\)
Answer» C. \(\frac{1}{{\left( {1 + {e^x}} \right)}} + c\)


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