$$I=$$∫$$sin10$$⁡x−$$cos8$$⁡$$xsin2$$⁡$$x+sin8$$⁡$$xcos2$$⁡x−$$cos10$$⁡$$x1$$−$$2sin2$$⁡$$xcos2$$⁡xdx is equal to

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$$I=$$∫$$sin10$$⁡x−$$cos8$$⁡$$xsin2$$⁡$$x+sin8$$⁡$$xcos2$$⁡x−$$cos10$$⁡$$x1$$−$$2sin2$$⁡$$xcos2$$⁡xdx is equal to

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$$sin10$$⁡x−$$cos8$$⁡$$xsin2$$⁡$$x+sin8$$⁡$$xcos2$$⁡x−$$cos10$$⁡$$x=sin2$$⁡$$xsin8$$⁡x−$$cos8$$⁡$$x+cos2$$⁡$$xsin8$$⁡x−$$cos8$$⁡$$x=sin2$$⁡$$x+cos2$$⁡$$xsin8$$⁡x−$$cos8$$⁡$$x=sin2$$⁡x−$$cos2$$⁡$$xsin2$$⁡$$x+cos2$$⁡$$xsin4$$⁡$$x+cos4$$⁡$$x=sin2$$⁡x−$$cos2$$⁡$$x1$$−$$2sin2$$⁡$$xcos2$$⁡$$x=$$−$$cos$$⁡$$2x1$$−$$2sin2$$⁡$$xcos2$$⁡$$xI=$$−∫$$cos$$⁡$$2xdx=$$−$$sin$$⁡$$2x2+C$$

$I = \int \frac{\sin^{10} x - \cos^{8} x \sin^{2} x + \sin^{8} x \cos^{2} x - \cos^{10} x}{1 - 2 \sin^{2} x \cos^{2} x} d x$ is equal to

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I=∫sin10⁡x−cos8⁡xsin2⁡x+sin8⁡xcos2⁡x−cos10⁡x1−2sin2⁡xcos2⁡xdx is equal to

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$I = \int \frac{\sin^{10} x - \cos^{8} x \sin^{2} x + \sin^{8} x \cos^{2} x - \cos^{10} x}{1 - 2 \sin^{2} x \cos^{2} x} d x$ is equal to