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) \(\frac { \pi } { 6 }\)

Understand the purpose and application of grouped frequency distribution tables in summarizing data.

Know the best practices in selecting the number of intervals for grouped frequency distribution tables.

Understand why intervals in grouped frequency distribution tables should generally be of equal size.

Recognize the levels of measurement appropriate for the use of grouped frequency distribution tables.

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