Use Reduction Formulas to Evaluate the Integral $$\int \cot ^ { 4 } 3 x d x$$

question 5

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \cot ^ { 4 } 3 x d x$$

• A) \(- \frac { 1 } { 3 } \cot ^ { 3 } 3 x - \frac { 1 } { 3 } \cot 3 x + x + C\)
• B) \(- \frac { 1 } { 9 } \cot ^ { 3 } 3 x + \frac { 1 } { 3 } \cot 3 x + x + C\)
• C) \(- \frac { 1 } { 9 } \cot ^ { 2 } 3 x + \frac { 1 } { 3 } \cot 3 x - x + C\)
• D) \(- \frac { 1 } { 9 } \cot ^ { 3 } 3 x + \frac { 1 } { 3 } \cot 3 x + C\)

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Definitions:

Hormones

Chemical messengers produced by endocrine glands that regulate various bodily functions and processes.

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A part of the autonomic nervous system that prepares the body for action by accelerating the heart rate, constricting blood vessels, and raising blood pressure.

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Blood Pressure

The pressure exerted by circulating blood upon the walls of blood vessels, a critical indicator of cardiovascular health.