设=∫-∞atetdt,则a=________.

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问题=∫-∞atetdt,则a=________.

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答案2

解析 =ea.
-∞atetdt=∫-∞atd(et)=tet-∞a-∫-∞aetdt=aea-ea,
由ea=aea-ea,得a=2.
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