Find the Indefinite Integral $$\int \tan ^ { 3 } \left( \frac { \pi x } { 2 } \right) \sec ^ { 2 } \left( \frac { \pi x } { 2 } \right) d x$$

question 64

Multiple Choice

Find the indefinite integral. $$\int \tan ^ { 3 } \left( \frac { \pi x } { 2 } \right) \sec ^ { 2 } \left( \frac { \pi x } { 2 } \right) d x$$

• A) \(- \frac { 1 } { 2 \pi } \tan ^ { 4 } \frac { \pi x } { 2 } + C\)
• B) \(\frac { 1 } { 3 \pi } \tan ^ { 4 } \frac { \pi \pi } { 2 } + C\)
• C) \(\frac { 1 } { 3 \pi } \tan ^ { 5 } \frac { \pi K } { 2 } + C\)
• D) \(\frac { 1 } { 2 \pi } \tan ^ { 4 } \frac { \pi \pi } { 2 } + C\)
• E) \(- \frac { 1 } { 3 \pi } \tan ^ { 4 } \frac { \pi x } { 2 } + C\)

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