Find the Indefinite Integral $$\int \sec ^ { 4 } 9 x d x$$

question 16

Multiple Choice

Find the indefinite integral. $$\int \sec ^ { 4 } 9 x d x$$

• A) \(\frac { 1 } { 27 } \tan ( 9 x ) ( 3 + \tan ( 9 x ) ) + C\)
• B) \(\frac { 1 } { 27 } \tan ( 9 x ) \left( 3 + \tan ^ { 2 } ( 9 x ) \right) + C\)
• C) \(- \frac { 1 } { 27 } \tan ( 9 x ) \left( 3 + \tan ^ { 2 } ( 9 x ) \right) + C\)
• D) \(\frac { 1 } { 27 } \tan ( 9 x ) \left( 3 - \tan ^ { 2 } ( 9 x ) \right) + C\)
• E) \(\frac { 1 } { 27 } \tan ( 9 x ) ( 3 - \tan ( 9 x ) ) + C\)

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