Find the Indefinite Integral $$\int \sec ^ { 6 } 6 x d x$$

Multiple Choice

Find the indefinite integral. $$\int \sec ^ { 6 } 6 x d x$$

A) $\frac { 15 \tan ( 6 x ) - 10 \tan ( 6 x ) ^ { 3 } - 3 \tan ( 6 x ) ^ { 5 } } { 90 } + C$
B) $\frac { 15 \tan ( 6 x ) + 10 \tan ( 6 x ) ^ { 3 } + 3 \tan ( 6 x ) ^ { 5 } } { 15 } + C$
C) $\frac { 15 \tan ( 6 x ) + 10 \tan ( 6 x ) ^ { 3 } + 3 \tan ( 6 x ) ^ { 5 } } { 90 } + C$
D) $\frac { 15 \tan ( 6 x ) + 10 \tan ( 6 x ) ^ { 3 } + 3 \tan ( 6 x ) ^ { 5 } } { 270 } + C$
E) $\frac { 15 \tan ( 6 x ) - 10 \tan ( 6 x ) ^ { 3 } - 3 \tan ( 6 x ) ^ { 5 } } { 15 } + C$