求(sinx-cosx)/(sinx+cosx)^(1/3)的不定积分
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发布时间：2024-10-24 00:48
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热心网友
时间：2024-11-12 23:08
∫(sinx-cosx)/(sinx+cosx)^(1/3)dx
let
y= sinx + cosx
dy = (cosx - sinx) dx
∫(sinx-cosx)/(sinx+cosx)^(1/3)dx
= -∫dy/y^(1/3)
=-(3/2)y^(2/3) + C
=-(3/2)(sinx + cosx)^(2/3) + C
