Use Reduction Formulas to Evaluate the Integral $$\int 5 \cot ^ { 3 } x \sin ^ { 2 } x d x$$

question 83

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int 5 \cot ^ { 3 } x \sin ^ { 2 } x d x$$

• A) \(5 \ln | \sin x | - \frac { 5 } { 2 } \sin x + C\)
• B) \(5 \ln | \sin x | - \frac { 5 } { 2 } \cos ^ { 2 } x + C\)
• C) \(5 \ln | \sin x | + \frac { 5 } { 2 } \cos ^ { 2 } x + C\)
• D) \(5 \ln | \sin x | + 5 \sin x + C\)

Determine the outcome of different types of market interventions like price ceilings and price floors.

Interpret graphical representations of market supply and demand shifts due to taxes and price controls.

Calculate the tax revenue generated from imposed taxes.

Assess the effects of tax imposition on market efficiency.

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