∫[(1-sin(2x))/(sin^2(x)-x)]dx 怎么解

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/25 11:15:15

∫[(1-sin(2x))/(sin^2(x)-x)]dx
=∫[(1-2sinxcosx)/(sin^2(x)-x)]dx
=∫1/[sin^2(x)-x]d[x-sin^2(x)]
=-∫1/[x-sin^2(x)]d[x-sin^2(x)]
=C-ln[x-sin^2(x)]

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