$$$\frac{1}{u}$$$ 的积分

该计算器将求出$$$\frac{1}{u}$$$的积分/原函数，并显示步骤。

求$$$\int \frac{1}{u}\, du$$$。

$$$\frac{1}{u}$$$ 的积分为 $$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$$:

$${\color{red}{\int{\frac{1}{u} d u}}} = {\color{red}{\ln{\left(\left|{u}\right| \right)}}}$$

因此，

$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$

加上积分常数：

$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}+C$$

$$$\int \frac{1}{u}\, du = \ln\left(\left|{u}\right|\right) + C$$$A

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