∫xcos2xdx=________.

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问题 ∫xcos2xdx=________.

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答案x2/4+1/4xsin2x+1/8cos2x+C

解析 ∫xcos2xdx=1/2∫x(1+cos2x)dx=x2/4+1/4∫xd(sin2x)=x2/4+1/4∫sin2xdx=x2/4+1/4xsin2x+1/8cos2x+C.
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