Use Reduction Formulas to Evaluate the Integral $$\int \tan ^ { 5 } 2 x d x$$

question 405

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \tan ^ { 5 } 2 x d x$$

• A) \(- \frac { 1 } { 8 } \tan ^ { 4 } 2 x + \frac { 1 } { 4 } \tan ^ { 2 } 2 x - \frac { 1 } { 2 } \ln | \cos 2 x | + C\)
• B) \(\frac { 1 } { 8 } \tan ^ { 4 } 2 x - \frac { 1 } { 4 } \tan ^ { 2 } 2 x - \frac { 1 } { 2 } \ln | \cos 2 x | + C\)
• C) \(\frac { 1 } { 4 } \tan ^ { 4 } 2 x - \frac { 1 } { 2 } \tan ^ { 2 } 2 x - \ln | \cos 2 x | + C\)
• D) \(\frac { 1 } { 8 } \tan ^ { 4 } 2 x - \frac { 1 } { 4 } \tan ^ { 2 } 2 x + \frac { 1 } { 2 } \ln | \cos 2 x | + C\)

Analyze the effects of environmental and climatic factors on human behaviors and states, such as suicide rates.

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Understand the role of self-awareness and emotionality in determining individual tendencies towards self-destructive behaviors.

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