Use Reduction Formulas to Evaluate the Integral $$\int \sec ^ { 3 } 4 x d x$$

Multiple Choice

Use reduction formulas to evaluate the integral.
- $$\int \sec ^ { 3 } 4 x d x$$

A) $\frac { 1 } { 8 } \sec ^ { 2 } 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \tan 4 x | + C$
B) $\frac { 1 } { 8 } \sec 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \tan 4 x | + C$
C) $\frac { 1 } { 8 } \sec 4 x \tan 4 x + \frac { 1 } { 8 } \ln | \sec 4 x + \cot 4 x | + C$
D) $\frac { 1 } { 8 } \sec 4 x \tan 4 x - \frac { 1 } { 4 } \ln | \sec 4 x + \tan 4 x | + C$