∫01by∫yy/2cosx2dx+∫12dy∫y/21cosx2dx=________.

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问题01by∫yy/2cosx2dx+∫12dy∫y/21cosx2dx=________.

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答案改变积分次序得 ∫01dy∫y/2ycosx2dx+∫12dy∫y/21cosx2dx=∫01dx∫x2xcosx2dy =∫01xcosx2dx [*]

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