Evaluate the Integral $\int \frac { e ^ { x } d x } { \sqrt { 1 - e ^ { 2 x } } }$

question 49

Multiple Choice

Evaluate the integral.
- $\int \frac { e ^ { x } d x } { \sqrt { 1 - e ^ { 2 x } } }$

• A) \(- 2 \sqrt { 1 - \mathrm { e } ^ { 2 x } } + C\)
• B) \(\sec ^ { - 1 } \left( e ^ { x } \right) + C\)
• C) \(e ^ { x } \sin ^ { - 1 } \left( e ^ { x } \right) + C\)
• D) \(\sin ^ { - 1 } \left( e ^ { x } \right) + C\)

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