$$$\frac{1}{y}$$$ 的积分
您的输入
求$$$\int \frac{1}{y}\, dy$$$。
解答
$$$\frac{1}{y}$$$ 的积分为 $$$\int{\frac{1}{y} d y} = \ln{\left(\left|{y}\right| \right)}$$$:
$${\color{red}{\int{\frac{1}{y} d y}}} = {\color{red}{\ln{\left(\left|{y}\right| \right)}}}$$
因此,
$$\int{\frac{1}{y} d y} = \ln{\left(\left|{y}\right| \right)}$$
加上积分常数:
$$\int{\frac{1}{y} d y} = \ln{\left(\left|{y}\right| \right)}+C$$
答案
$$$\int \frac{1}{y}\, dy = \ln\left(\left|{y}\right|\right) + C$$$A
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