$\;\int \large\frac{sin^{8} x -cos^{8} x}{(1-2 sin^{2}x cos^{2} x)} dx\;$ is equal to :

Question

$(a)\;\large\frac{1}{2} sin2x +c \qquad(b)\;-\large\frac{1}{2} sin2x +c\qquad(c)\;-\large\frac{1}{2} sinx +c\qquad(d)\;- sin^{2}x+c$