Use the Substitution Formula to Evaluate the Integral $$\int _ { \pi / 8 } ^ { \pi / 4 } 2 \cot ( 2 \theta ) d \theta$$

question 196

Multiple Choice

Use the substitution formula to evaluate the integral.
- $$\int _ { \pi / 8 } ^ { \pi / 4 } 2 \cot ( 2 \theta ) d \theta$$

• A) \(\frac { \ln 2 } { 2 }\)
• B) \(\frac { \ln 4 } { 2 }\)
• C) \(- \frac { \ln 2 } { 2 }\)
• D) \(\ln 2\)

Describe the mechanisms and rates of genetic substitution and their role in evolutionary divergence.

Ability to align DNA sequences and infer evolutionary relationships.

Recognize the importance of neutral theory and the balance between mutation and genetic drift.

Identify the factors influencing the difficulty of obtaining correct sequence alignments.

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