$$$\frac{1}{x \ln^{3}\left(x\right)}$$$ 关于$$$t$$$的积分

求$$$\int \frac{1}{x \ln^{3}\left(x\right)}\, dt$$$。

应用常数法则 $$$\int c\, dt = c t$$$，使用 $$$c=\frac{1}{x \ln{\left(x \right)}^{3}}$$$：

$${\color{red}{\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t}}} = {\color{red}{\frac{t}{x \ln{\left(x \right)}^{3}}}}$$

因此，

$$\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t} = \frac{t}{x \ln{\left(x \right)}^{3}}$$

加上积分常数：

$$\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t} = \frac{t}{x \ln{\left(x \right)}^{3}}+C$$

$$$\int \frac{1}{x \ln^{3}\left(x\right)}\, dt = \frac{t}{x \ln^{3}\left(x\right)} + C$$$A