$$$t$$$에 대한 $$$\frac{1}{x \ln^{3}\left(x\right)}$$$의 적분

$$$\int \frac{1}{x \ln^{3}\left(x\right)}\, dt$$$을(를) 구하시오.

상수 법칙 $$$\int c\, dt = c t$$$을 $$$c=\frac{1}{x \ln{\left(x \right)}^{3}}$$$에 적용하십시오:

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

따라서,

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

적분 상수를 추가하세요:

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

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