Use the Substitution Formula to Evaluate the Integral $$\int _ { 0 } ^ { \ln \sqrt { 3 } / 4 } \frac { 4 \mathrm { e } ^ { 4 x } \mathrm { dx } } { 1 + \mathrm { e } ^ { 8 \mathrm { x } } }$$

question 17

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { 0 } ^ { \ln \sqrt { 3 } / 4 } \frac { 4 \mathrm { e } ^ { 4 x } \mathrm { dx } } { 1 + \mathrm { e } ^ { 8 \mathrm { x } } }$$

• A) \(\frac { \pi } { 12 }\)
• B) \(- \frac { \pi } { 12 }\)
• C) \(- \frac { \pi } { 6 }\)
• D) \(\frac { \pi } { 6 }\)

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