Evaluate the Integral $$\int \frac { 3 e ^ { 2 t } + 4 e ^ { t } } { e ^ { 2 t } - 10 e ^ { t } + 25 } d t$$

question 34

Multiple Choice

Evaluate the integral.
- $$\int \frac { 3 e ^ { 2 t } + 4 e ^ { t } } { e ^ { 2 t } - 10 e ^ { t } + 25 } d t$$

• A) \(3 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| - \frac { 19 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)
• B) \(3 \ln | t - 5 | - \frac { 19 } { t - 5 } + C\)
• C) \(3 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| + \frac { 19 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)
• D) \(4 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| - \frac { 15 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)

Recognize the role of female choice in the evolution of male traits and mating success.

Grasp the genetic and evolutionary consequences of sexual reproduction versus asexual reproduction.

Understand the concept of sperm competition and cryptic female choice.

Recognize the benefits and costs associated with sexual reproduction.

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