∫sin⁡x⋅cos⁡x⋅cos⁡2x⋅cos⁡4x⋅cos⁡8x⋅cos⁡16x dx\int \sin x \cdot \cos x \cdot \cos 2x \cdot \cos 4x \cdot \cos 8x \cdot \cos 16x \, dx…

Mathematics

Problem

∫sin⁡x⋅cos⁡x⋅cos⁡2x⋅cos⁡4x⋅cos⁡8x⋅cos⁡16x dx\int \sin x \cdot \cos x \cdot \cos 2x \cdot \cos 4x \cdot \cos 8x \cdot \cos 16x \, dx equals - (A) sin⁡16x1024+c\frac{\sin 16x}{1024} + c (B) −cos⁡32x1024+c-\frac{\cos 32x}{1024} + c (C) cos⁡32x1096+c\frac{\cos 32x}{1096} + c (D) −cos⁡32x1096+c-\frac{\cos 32x}{1096} + c

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