$\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x$

Question

$\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x$, $-\frac{1}{2} \sin 2 x+C$, $\frac{1}{2} \sin 2 \mathrm{x}+\mathrm{C}$, $\frac{1}{2} \sin x+C$, $-\frac{1}{2} \sin x+C$

MARKS App · Accepted Answer

Hints: $\int\left(\sin ^2 x-\cos ^2 x\right) d x=-\int \cos ^{2 x} d x=-\frac{1}{2} \sin 2 x+C$

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