13问答网 > 这道不定积分怎么求，详细解题过程

这道不定积分怎么求，详细解题过程

2025-03-17 18:48:22
推荐回答（1个）
回答1：

分部积分：
u=sin(㏑x), dv=dx, v=x,
du=cos(㏑x)/xdx
I=uv-∫ vdu=xsin(㏑x)-∫ cos(㏑x)dx
分部积分：
u=cos(㏑x), dv=dx, v=x,
du=-sin(㏑x)/xdx
J=∫ cos(㏑x)dx=xcos(㏑x)+I
I=x〔sin(㏑x)-cos(㏑x)〕-I
I=½x〔sin(㏑x)-cos(㏑x)〕+C

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