Use a Trigonometric Substitution to Evaluate the Integral $$\int _ { 0 } ^ { \ln 3 } \frac { e ^ { x } d x } { \sqrt { e ^ { 2 x } + 1 } }$$

question 439

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- $$\int _ { 0 } ^ { \ln 3 } \frac { e ^ { x } d x } { \sqrt { e ^ { 2 x } + 1 } }$$

• A) \(\ln \left( \mathrm { e } ^ { 3 } + \sqrt { 10 } \right)\)
• B) \(\ln ( 3 + \sqrt { 10 } ) - \ln ( 1 + \sqrt { 2 } )\)
• C) \(\ln \frac { 3 } { 2 }\)
• D) \(\ln 6 - \ln ( 1 + \sqrt { 2 } )\)

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