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

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) $\frac { 1 } { 27 } \tan ( 9 x ) ( 3 - \tan ( 9 x ) ) + C$