Evaluate the Integral $$\int \frac { 6 \sin 2 x } { 1 + \cos ^ { 4 } x } d x$$

Multiple Choice

Evaluate the integral. $$\int \frac { 6 \sin 2 x } { 1 + \cos ^ { 4 } x } d x$$

A) $6 \arctan \left( \sec ^ { 2 } x \right) + C$
B) $- 6 \cos ^ { 2 } 2 x + C$
C) $- 6 \arcsin ( \tan x ) + C$
D) $1 - 6 \cos ^ { 2 } x + C$
E) None of these