求不定积分∫(1/1+e)的x次方dx
人气:179 ℃ 时间:2020-04-01 18:21:35
解答
∫1/(1+e^x)dx
=∫1/[e^x(1+e^x)]d(e^x)
=∫[1/e^x-1/(1+e^x)]d(e^x)
=x-ln(1+e^x)+C
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