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

---

Definitions:

Segmented Market

A market divided into groups according to customers’ different needs and problems.

Mass Market

Refers to the large, general group of consumers that products are aimed at, not tailored to specific niches.

Nondiscriminating Consumers

Customers who do not show preference or bias towards products based on brand, appearance, or other superficial factors, focusing instead on functionality or value.

Similar Needs

The comparable or identical requirements or desires of different customers or client segments.