Use Reduction Formulas to Evaluate the Integral $$\int \csc ^ { 4 } \frac { t } { 5 } d t$$

question 204

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \csc ^ { 4 } \frac { t } { 5 } d t$$

• A) \(- \frac { 5 } { 3 } \csc ^ { 3 } \frac { t } { 5 } \cot \frac { t } { 5 } + \frac { 10 } { 3 } \cot \frac { t } { 5 } + C\)
• B) \(- \frac { 1 } { 15 } \csc ^ { 2 } \frac { \mathrm { t } } { 5 } \cot \frac { \mathrm { t } } { 5 } - \frac { 2 } { 15 } \cot \frac { \mathrm { t } } { 5 } + \mathrm { C }\)
• C) \(- \frac { 5 } { 3 } \csc ^ { 2 } \frac { \mathrm { t } } { 5 } \cot \frac { \mathrm { t } } { 5 } - \frac { 10 } { 3 } \csc \frac { \mathrm { t } } { 5 } + \mathrm { C }\)
• D) \(- \frac { 5 } { 3 } \csc ^ { 2 } \frac { \mathrm { t } } { 5 } \cot \frac { \mathrm { t } } { 5 } - \frac { 10 } { 3 } \cot \frac { \mathrm { t } } { 5 } + \mathrm { C }\)

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