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) \(5 \ln | \sin x | + 5 \sin x + C\)

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