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第2008题:积化和差公式



计算不定积分 cos(x)cos(2x)cos(3x)dx\int \cos (x) \cos (2x) \cos (3x) dx .



A. cos2x4cos4x8-\dfrac{\cos 2x}{4}-\dfrac{\cos 4x}{8} cos6x12x3+C-\dfrac{\cos 6x}{12}-\dfrac{x}{3}+C



B. cos2x8cos4x16-\dfrac{\cos 2x}{8}-\dfrac{\cos 4x}{16} cos6x24x4+C-\dfrac{\cos 6x}{24}-\dfrac{x}{4}+C



C. sin2x4+sin4x8\dfrac{\sin 2x}{4}+\dfrac{\sin 4x}{8} +sin6x12+x3+C+\dfrac{\sin 6x}{12}+\dfrac{x}{3}+C



D. sin2x8+sin4x16\dfrac{\sin 2x}{8}+\dfrac{\sin 4x}{16} +sin6x24+x4+C\dfrac{\sin 6x}{24}+\dfrac{x}{4}+C

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