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13问答网 > 求广义定积分∫（上限是+∞，下限为0）e*(-4)dx？

求广义定积分∫（上限是+∞，下限为0）e*(-4)dx？

2025-03-15 17:52:47

推荐回答（2个）

回答1：

你的意思应该是
∫（上限是+∞，下限为0）e^(-4x)dx 吧
不然不是广义定积分
显然∫e^(-4x)dx
= -1/4 *∫e^(-4x)d(-4x)
= -1/4 *e^(-4x) 代入上下限+∞，0
= -1/4 *e^(-∞) +1/4 *e^0 显然e^(-∞)趋于0
=1/4

回答2：

高仿紫砂壶

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