Evaluate the Integral $$\int x \csc ^ { 2 } 3 x d x$$

question 364

Multiple Choice

Evaluate the integral.
- $$\int x \csc ^ { 2 } 3 x d x$$

• A) \(- \frac { 1 } { 3 } x \cot 3 x + \frac { 1 } { 9 } \ln | \sin 3 x | + C\)
• B) \(- x \cot 3 x + \ln | \sin 3 x | + C\)
• C) \(\frac { 1 } { 3 } x \cot 3 x - \frac { 1 } { 9 } \ln | \sin 3 x | + C\)
• D) \(- 3 x \cot 3 x + 9 \ln | \sin 3 x | + C\)

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Definitions:

Correlation

A statistical measure that expresses the extent to which two variables change together.

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A compact car manufactured by Ford Motor Company, known for its affordability and reliability, produced in various models from the late 1960s to the early 2000s.

Variation

Refers to the measure of how much individual data points in a statistical set differ from the average or mean value.

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The distance covered or that can be covered by a vehicle with a specified amount of fuel; also used metaphorically to describe the extent of use or experience someone has.