2. 考研
  3. ∫01dy∫0y2ycos(1一x)2dx=________．

∫01dy∫0y2ycos(1一x)2dx=________．

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问题 ∫01dy∫0y2ycos(1一x)2dx=________．
选项
答案[*]sin1
解析 ∫01dy∫0y2ycos(1－x)2dx=∫01cos(1－x)2dx∫1ydy
=∫01(1一x)cos(1一x)2dx=∫01cos(1一x)2d(1一x)2
=．
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考研数学一

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