$$$\frac{1}{\ln\left(x\right)}$$$ 的积分
您的输入
求$$$\int \frac{1}{\ln\left(x\right)}\, dx$$$。
解答
该积分(对数积分)没有闭式表达式:
$${\color{red}{\int{\frac{1}{\ln{\left(x \right)}} d x}}} = {\color{red}{\operatorname{li}{\left(x \right)}}}$$
因此,
$$\int{\frac{1}{\ln{\left(x \right)}} d x} = \operatorname{li}{\left(x \right)}$$
加上积分常数:
$$\int{\frac{1}{\ln{\left(x \right)}} d x} = \operatorname{li}{\left(x \right)}+C$$
答案
$$$\int \frac{1}{\ln\left(x\right)}\, dx = \operatorname{li}{\left(x \right)} + C$$$A
Please try a new game Rotatly