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

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

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