2. 考研
  3. ∫01dycosx2dx+∫12dycosx2dx=________．

∫01dycosx2dx+∫12dycosx2dx=________．

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问题 ∫01dycosx2dx+∫12dycosx2dx=________．
选项
答案[*]
解析 改变积分次序得
∫01dycosx2dx+∫12dycosx2dx=∫01dx∫x2xcosx2dy
=∫01xcosx2dx=∫01cosx2d(x2)=sinx2｜01
=sin1.
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考研数学三

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